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ISSN: 2278 – 1323
                           International Journal of Advanced Research in Computer Engineering & Technology
                                                                               Volume 1, Issue 4, June 2012



 VLSI Architecture and implementation for 3D Neural Network based image
                              compression


               Deepa.S1, Dr.P.Cyril Prasanna Raj 2, Dr.M.Z.Kurian3, Manjula.Y4
                      1-Final year M.Tech VLSI & embedded systems deepa2292959@gmail.com,
                                 2-Professor, member of IEEE cyrilyahoo@gmail.com,
                                3- Dean,HOD,E&C,SSIT,Tumkur mzkurian@gmail.com,
                           4-Lecturer,Dept of E&C,SSIT,Tumkur manjulayarava@gmail.com



Abstract: Image compression is one of the key              option for reducing the number of bits in
image processing techniques in signal processing           transmission. This in turn helps increase the volume
and communication systems. Compression of                  of data transferred in a space of time, along with
images leads to reduction of storage space and             reducing the cost required. It has become
reduces transmission bandwidth and hence also              increasingly important to most computer networks, as
the cost. Advances in VLSI technology are rapidly          the volume of data traffic has begun to exceed their
changing the technological needs of common man.            capacity for transmission. Traditional techniques that
One of the major technological domains that are            have already been identified for data compression
directly related to mankind is image compression.          include: Predictive Coding, Transform coding and
Neural networks can be used for image                      Vector Quantization. In brief, predictive coding
compression. Neural network architectures have             refers to the decorrelation of similar neighboring
proven to be more reliable, robust, and                    pixels within an image to remove redundancy.
programmable and offer better performance                  Following the removal of redundant data, a more
when compared with classical techniques.                   compressed image or signal may be transmitted.
In this work the main focus is on development of           Transform-based compression techniques have also
new architectures for hardware implementation of           been commonly employed. These techniques execute
3-D neural network based image compression                 transformations on images to produce a set of
optimizing area, power and speed as specific to            coefficients. A subset of coefficients is chosen that
ASIC implementation, and comparison with                   allows good data representation (minimum distortion)
FPGA.                                                      while maintaining an adequate amount of
                                                           compression for transmission. The results achieved
Key words: Image compression, 3-D neural network,          with a transform based technique is highly dependent
FPGA, ASIC                                                 on the choice of transformation used (cosine,
                                                           wavelet, etc.). Finally vector quantization techniques
                                                           require the development of an appropriate codebook
               I. INTRODUCTION                             to compress data. Usages of codebooks do not
                                                           guarantee convergence and hence do not necessarily
Neural network for image compression and                   deliver infallible decoding accuracy. Also the process
decompression have been adopted as they achieve            may be very slow for large codebooks as the process
better compression and also work in noisy                  requires extensive searches through the entire
environment. Many approaches have been reported in         codebook.
realizing the Neural Network architectures on
software and hardware for real-time applications.          Artificial Neural Networks (ANNs) have been
Today’s technological growth, has led to scaling of        applied to many problems and have demonstrated
transistors and hence complex and massively parallel       their superiority over traditional methods when
architecture are possible to realize on dedicated          dealing with noisy or incomplete data. One such
hardware consuming low power and less area. This           application is for image compression. Neural
work reviews the neural network approaches for             Networks seem to be well suited to this particular
image compression and proposes hardware                    function, as they have the ability to preprocess input
implementation schemes for Neural Network. The             patterns to produce simpler patterns with fewer
transport of images across communication paths is an       components. This compressed information (stored in
expensive process. Image compression provides an


                                                                                                             92
                                 All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                               International Journal of Advanced Research in Computer Engineering & Technology
                                                                                   Volume 1, Issue 4, June 2012


a hidden layer) preserves the full information
obtained from the external environment. Not only
can ANN based techniques provide sufficient
compression rates of the data in question, but security
is easily maintained. This occurs because the
compressed data that is sent along a communication
line is encoded and does not resemble its original
form.

                II. SYSTEM DESIGN

                                       Image
                                      compre      3D
                          Image         ssion    enco
             Image        prepro
 Image                                 using     ding
             acquis       cessing        3D      archi
              ition
                                      Neural     tectu
                                      Networ       re
                                          k

              Fig 1: Block diagram overview
                                                              Fig 2: Proposed 3DNN architecture
The fig 1 gives the overall view of the work. Here
image may be any picture or a photograph or a visual
data. This is captured or acquired by an optical lence
such as a camera. The image is “discretized” i.e.,
defined on a discrete grid and stored as two-
dimensional collection of light values (or gray
values).The image preprocessing does the function of
adjustment of pixels and removal of noise from the
captured image. The image is compressed using 3D
Neural Network architecture and encoded for image
transmission.

The 3D Neural Network architecture for image
compression is main topic of interest of this project
work. An attempt to design and develop 3-D adaptive
neural network architecture for image compression
and decompression that can work in real time, noisy
environment is made here.                                     Fig 3: Basic architecture for image compression using NN

The proposed 3-DNN architecture is as shown in                M-dimensional coefficient vector y is calculated as
figure 2. Typical way of compression with neural               Y=Zx X
network is using hidden layer with lower dimension            then the inverse transformation is given by the
then input or output layer. In this case, network input       transpose of the forward transformation matrix
and output is an image. The input and hidden layers           resulting in the reconstructed vector
perform the compression, it transforms the input              X =ZT x Y
vector of dimension d(IN) to hidden layer space of            Here 16 input neurons, 4 neurons each in 4 hidden
dimension d(HI). The dimension of hidden layer is             layers and 16 output neurons are considered. purlin
lower than of input layer d(HI)<d(IN). Output layer           function and purlin functions are used to train the
with the help of hidden layers performs                       input and output neurons of hidden layers. Back
decompression. It transforms the vector from hidden           propagation technique is also used.
layer with lower dimension to output vector space
with higher dimension d(HI)<d(OUT). The
dimension of input and output layer is the same                      III. SYSTEM IMPLEMENTATION/
d(IN)=d(OUT).                                                                   SIMULATION
                                                              Matlab program is written in the following steps:
The basic architecture for image compression using            The input image is read by the instruction imread.
neural network is shown in figure 3                           This will read image saved in the specified path. Next
                                                              a part of image is read by specifying particular row

                                                                                                                         93
                                     All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                                   International Journal of Advanced Research in Computer Engineering & Technology
                                                                                       Volume 1, Issue 4, June 2012


and column values. This part of the image is
displayed. Rearrangement of image is the selected
application of the multilayer perceptron. Next is the
training procedure where specified weight and bias is
obtained for image compression & decompression.
The reshaping of a block matrix in to a matrix of
vector occurs. The design consists of matrix
multiplication of two matrices, one is the input image
samples(each column), and the second is the weight
matrix obtained after training. This multiplied output
is added with bias to obtain the compressed output
that gets transmitted or stored in compressed format.
On the decompression side, the compressed data in                 Fig 5
matrix form is multiplied with the output weight
matrix and added with output bias to get back the                 Here the image is read in figure. Next a part of
original image. The image quality of the                          image(64*64) is read for compression and the
decompressed image depends on the weight matrix                   decompressed output is shown.
and the compression ratios. The image data of size
                                                                  Fig 6: Training the neuron in matlab tool
16x16 is taken in each column wise i.e column 1 of
size 16x1 then multiplied by the weight matrix of
4x16 and added with bias matrix of size 4x1 to get a
compressed output of 4x1. On the decompression
side 4x1 input matrix (compressed image) is
multiplied with the weight matrix of size 16x4 and
added with output bias matrix of size16x1to get
output decompressed matrix of size 16x1. This
procedure is repeated for 15 more times to
reproduces the original image. In order to achieve
better compression nonlinear functions are used both
at transmitter and receiver section. The Neural
Network has 4 hidden and 16 output layers. Purlin                 The above snapshot shows training the neuron in
and purlin functions are used for input and output
                                                                  matlab tool.
hidden layers. Back propagation technique is used.
Finally rearrangement of the vectors in to block
matrix to display the image.                                      Simulation Results in matlab

                     Image input                                  The different compression algorithms can be
                                                                  compared based on certain performance measures.
                     Read image                                   Compression Ratio (CR) is the ratio of the number of
                                                                  bits required to represent the data before compression
                                                                  to the number of bits required after compression. Bit
               Read a part of the image
                                                                  rate is the average number of bits per sample or pixel
                                                                  (bpp), in the case of image. The image quality can be
                  Display the image                               evaluated objectively and subjectively. A standard
                                                                  objective measure of image quality is reconstruction
                                                                  error given by equation 1.
              Rearrangement of image
                                                                  Error E = Original Image – Reconstructed image (1)
          Training procedure (fixing the
          compression ratios & training                           Two of the error metrics used to compare the various
          functions)                                              image compression techniques are the mean square
                                                                  error (MSE) and the Peak Signal to Noise Ratio
                                                                  (PSNR). MSE refers to the average value of the
             Rearrange matrix to display
                                                                  square of the error between the original signal and the
                                                                  reconstruction as given by equation 2. The important
                    Output image                                  parameter that indicates the quality of the
Fig 4: Flow chart of matlab program                               reconstruction is the peak signal-to-noise ratio


                                                                                                                     94
                                           All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                            International Journal of Advanced Research in Computer Engineering & Technology
                                                                                Volume 1, Issue 4, June 2012


(PSNR). PSNR is defined as the ratio of square of the      image. Combination of different compression ratios
peak value of the signal to the mean square error,         (CR)with different transfer functions gives different
expressed in decibels.                                     PSNR values for the same input image.

MSE = E / (SIZE OF IMAGE) (2)                              Fig 7
                                                              PSNR                1:16 CR
The MSE is the cumulative squared error between the
compressed and the original image, whereas PSNR is             20
a Σmeasure of the peak error. The mathematical                 15
formulae for the computation of MSE & PSNR is :                10
               M N                                              5
MSE = 1/ MN [ Σ Σ (Ixy – I 'xy)2] (3)                           0
                                                                                                          psnr
               i=1j=1
PSNR = 20 * log (255 / sqrt(MSE)) (4)                                                                  funct


where I(x,y) is the original image, I'(x,y) is the
approximated version (which is actually the
decompressed image) and M, N are the dimensions of           PSNR                 2:16 CR
the images, 255 is the peak signal value. A lower
value for MSE means lesser error, and as seen from            20
the inverse relation between the MSE and PSNR.                15
Higher values of PSNR produce better image                    10
compression because it means that the ratio of Signal          5
to Noise is higher. Here, the 'signal' is the original         0                                          psnr
image, and the 'noise' is the error in reconstruction.
So, a compression scheme having a lower MSE (and                                                        funct
a high PSNR), can be recognized as a better one.

Compression results by adaptive BPNN Structure
for size=64*64,r=4,CR=4:16(75%)
                                                                                  4:16 CR
Sl     Test Image      Image Image     PSNR                        21
no.                    max     MSE                                 20
                       Error                                       19
                                                                   18
1      cameraman       108     262.01 23.94                        17
2      board           166     958.40 17.7765                      16
                                                                   15
3      cell            38      26.462 33.9045                                                             psnr
4      circuit         15      14.113 36.6344
5      Lena            61      100.00 28.1305
6      sun             44      115.84 27.2919
7      girl            58      42.806 31.8157
8      Blue hills      8       22.182 44.7420
9      Sunset          55      39.371 32.1790
10     Water lilies    72      31.379 33.164
11     Winter          36      47.626 31.352
12     Drawing         255     170.77 15.194
13     College         57      97.780 24.037
14     Garden          78      87.990 25.000
15     My photo        101     197.22 22.991
16     Holi            97      175.34 25.7
17     Bhagavadgeetha 67       65.63   29.96
18     Devinecouple    74      80.20   29.1
19     krishna         39      7.1     39.6
20     Goddess         65      45.048 31.5940
          Table 1: COMPRESSION RESULTS
Combination of different transfer functions gives
different decompressed images for the same input

                                                                                                                95
                                   All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                                 International Journal of Advanced Research in Computer Engineering & Technology
                                                                                     Volume 1, Issue 4, June 2012


                                                                Fig9




For a better image, the max error must be as low as
possible, the mean square error(MSE) must also be
small and the peak signal to noise ratio must be high.
From the above observations the 'tansig','purelin' and          Inputs(inputs with scaling) are storeed as serial in parallel out
                                                                registers
'purelin','purelin' functions give consistently high
PSNRs' for the respective compression ratios(CR).               Fig10
Trainrp is a network training function used in this
work that updates weight and bias values according
to the resilient backpropagation algorithm
(Rprop).Trainlm may also be used which is also a
network training function that updates weight and
bias values according to Levenberg-Marquardt
optimization but consumes huge amount of memory.
In this work back propagation technique is used. The
above results are for 64*64 image. The NN with BP
algorithm is also trained with 128*128, 256*256 and
521*512 images. The network trained using
backpropagation algorithm is realized using
multipliers and adders for FPGA realization .The                output of compression and decompression in HDL coding.
work is being carried out with the design of fast
multiplier which uses Wallace technique. A 9 bit                Fig11
Wallace multiplier and a 18 bits carry save adder is
designed for this project work.

The inputs for 9 bit Wallace tree multiplier and 18
bits carry save adder is obtained by the MATLab
program.HDL coding is being carried out for FPGA
realization. A 3D Neural network algorithm is
planned for the design.

HDL/VHDL and FPGA simulation results
Fig8



                                                                Output obtained by the vertex5 chip scope design




                                                                        IV.HARDWARE AND SOFTWARE
                                                                              REQUIREMENTS
                                                                The Neural Network archicture will be synthesized
                                                                on FPGA to estimate the hardware complexity for
output of 9 bits Wallace multiplier and 18 bits carry save      efficient ASIC implementation. The design is
adder                                                           mapped on VERTEX5 device from Xilinx 13.1


                                                                                                                             96
                                         All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                            International Journal of Advanced Research in Computer Engineering & Technology
                                                                                Volume 1, Issue 4, June 2012


vertion. As the design is mapped on FPGA, it               image. Further this is coded in HDL for FPGA
supports Reconfigurability. Reconfigurability can be       realization and the HDL code is modified for ASIC
achieved by changing the input layer values for better     Designing and implementation. Low power
compression and decompression.                             techniques are used to reduce power dissipation of
                                                           the complex architecture.
The HDL code for FPGA implementation is modified
for ASIC implementation. The general coding styles                                VII. REFERENCE
is adopted for building optimized RTL code for ASIC
implementation.                                            [1].   K.VenkataRamanaiah      and     Cyril   Prasanna    Raj    VLSI
To support higher order multiplication it is modeled       Architecuture for Neural Network Based Image Compression, ©
using HDL, and there is a need to develop an RTL           2010 IEEE
model using efficient coding styles for ASIC
                                                           [2]. Hamdy Soliman Computer Science Department New Mexico
Synthesis using Synopsys Design Compiler Version
2007.03. The timing analysis will be carried out           Tech    Neural   Net     Simulation:   SFSN      Model    For     Image
using Synopsys Prime Time.                                 Compression, Proceedings of the IEEE, 2001
                                                           [3]. Daniel Matolin, J¨org Schreiter, Stefan Getzlaff and Ren´e
In brief the hardware used are the FPGA platform,          Sch¨uffny,”An     Analog      VLSI      Pulsed    Neural        Network
and ASIC libraries.
                                                           Implementation for Image”, Proceedings of the International
The software requirements are Xilinx for HDL
coding , Design compiler and Matlab.                       Conference on Parallel Computing in Electrical Engineering
                                                           (PARELEC’04) IEEE
                                                           [4]. Arbib, Michael A. (Ed.) (1995). The Handbook of Brain
    V. ADVANTAGES AND LIMITATIONS                          Theory and Neural Networks.
                                                           [5]. Alspector, U.S. Patent 4,874,963 "Neuromorphic learning
Advantages:
Among the all present method, neural network is of         networks". October 17, 1989.
special interest due to the success it has in many         [6]. Ivan Vilovic,” An Experience in Image Compression
applications.                                              UsingNeural Networks”,48th International Symposium ELMAR-
1. Learning ability,                                       2006, 07-09 June 2006, Zadar, Croatia
2. System identification,
                                                           [7]. Hadi Veisi, Mansour Jamzad,” A Complexity-Based Approach
3. Robustness against noise,
4. Capability of optimum estimation and being used         in Image Compression using Neural Networks”, International
in parallel structures                                     Journal of Signal Processing 5-2-2009
5.Various kinds of neural networks like multilayer         [8].   Rafid   Ahmed     Khalil,”    Hardware    Implementation      of
perceptron (MLP),         Hopfield, learning vector        Backpropagation Neural Networks on Field programmable Gate
quantization (LVQ), self-organizing map (SOM) and
                                                           Array (FPGA)”, Al-Rafidain Engineering Vol.16 No.3 Aug. 2008
principal component neural networks have been used
to compress images. The VLSI Architecture for 3D           [9]. Rehna. V. J, Jeya Kumar. M. K,”Hybrid Approaches to Image
Neural Network based image compression consume             Coding: A Review” (IJACSA) International Journal of Advanced
less power and space, hence suitable for low cost and      Computer Science and Applications, Vol. 2, No. 7, 2011
reliable Hardware implementation, reconfigurable on        [10]. Jan Pohl, Petr Polách, Václav Jirsík,“ALTERNATIVE WAY
FPGA and good time to market. The process of               OF IMAGE COMPRESSION WITH NEURAL NETWORK”,
image compression is very fast as it uses neural
                                                           [11]. Hossein SAHOOLIZADEH and Amir Abolfazl SURATGAR
network rather than codebook.
                                                           Adaptive Image Compression Using Neural Networks 5th
Limitations:                                               International Conference: Sciences Of Electronics, Technologies
This technique may have small amount of distortion         of Information and Telecommunications March 22-26, 2009
in the decompressed image                                  TUNISIA
                                                           [12]. Matlab Image Processing Toolbox User’s Guide version-2
                VI. CONCLUSION                             [13]. Image processing study guide by Rafael C. Gonzalez,Richard
                                                           E. Woods
The neural network architecture for image                  [14]. Digital Image Processing By Gonzalez 2Nd Edition 2002,
compressions has been analyzed on FPGA and ASIC            (Ebook) Prentice Hall.
platforms and need to implement on 3D neural
                                                           [15]. Neural Network Toolbox™ 6 User’s Guide by Howard
network. A Matlab program is written to train the
neurons for compression and decompression of               Demuth , Mark Beale , Martin Hagan.


                                                                                                                               97
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  • 1. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 VLSI Architecture and implementation for 3D Neural Network based image compression Deepa.S1, Dr.P.Cyril Prasanna Raj 2, Dr.M.Z.Kurian3, Manjula.Y4 1-Final year M.Tech VLSI & embedded systems [email protected], 2-Professor, member of IEEE [email protected], 3- Dean,HOD,E&C,SSIT,Tumkur [email protected], 4-Lecturer,Dept of E&C,SSIT,Tumkur [email protected] Abstract: Image compression is one of the key option for reducing the number of bits in image processing techniques in signal processing transmission. This in turn helps increase the volume and communication systems. Compression of of data transferred in a space of time, along with images leads to reduction of storage space and reducing the cost required. It has become reduces transmission bandwidth and hence also increasingly important to most computer networks, as the cost. Advances in VLSI technology are rapidly the volume of data traffic has begun to exceed their changing the technological needs of common man. capacity for transmission. Traditional techniques that One of the major technological domains that are have already been identified for data compression directly related to mankind is image compression. include: Predictive Coding, Transform coding and Neural networks can be used for image Vector Quantization. In brief, predictive coding compression. Neural network architectures have refers to the decorrelation of similar neighboring proven to be more reliable, robust, and pixels within an image to remove redundancy. programmable and offer better performance Following the removal of redundant data, a more when compared with classical techniques. compressed image or signal may be transmitted. In this work the main focus is on development of Transform-based compression techniques have also new architectures for hardware implementation of been commonly employed. These techniques execute 3-D neural network based image compression transformations on images to produce a set of optimizing area, power and speed as specific to coefficients. A subset of coefficients is chosen that ASIC implementation, and comparison with allows good data representation (minimum distortion) FPGA. while maintaining an adequate amount of compression for transmission. The results achieved Key words: Image compression, 3-D neural network, with a transform based technique is highly dependent FPGA, ASIC on the choice of transformation used (cosine, wavelet, etc.). Finally vector quantization techniques require the development of an appropriate codebook I. INTRODUCTION to compress data. Usages of codebooks do not guarantee convergence and hence do not necessarily Neural network for image compression and deliver infallible decoding accuracy. Also the process decompression have been adopted as they achieve may be very slow for large codebooks as the process better compression and also work in noisy requires extensive searches through the entire environment. Many approaches have been reported in codebook. realizing the Neural Network architectures on software and hardware for real-time applications. Artificial Neural Networks (ANNs) have been Today’s technological growth, has led to scaling of applied to many problems and have demonstrated transistors and hence complex and massively parallel their superiority over traditional methods when architecture are possible to realize on dedicated dealing with noisy or incomplete data. One such hardware consuming low power and less area. This application is for image compression. Neural work reviews the neural network approaches for Networks seem to be well suited to this particular image compression and proposes hardware function, as they have the ability to preprocess input implementation schemes for Neural Network. The patterns to produce simpler patterns with fewer transport of images across communication paths is an components. This compressed information (stored in expensive process. Image compression provides an 92 All Rights Reserved © 2012 IJARCET
  • 2. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 a hidden layer) preserves the full information obtained from the external environment. Not only can ANN based techniques provide sufficient compression rates of the data in question, but security is easily maintained. This occurs because the compressed data that is sent along a communication line is encoded and does not resemble its original form. II. SYSTEM DESIGN Image compre 3D Image ssion enco Image prepro Image using ding acquis cessing 3D archi ition Neural tectu Networ re k Fig 1: Block diagram overview Fig 2: Proposed 3DNN architecture The fig 1 gives the overall view of the work. Here image may be any picture or a photograph or a visual data. This is captured or acquired by an optical lence such as a camera. The image is “discretized” i.e., defined on a discrete grid and stored as two- dimensional collection of light values (or gray values).The image preprocessing does the function of adjustment of pixels and removal of noise from the captured image. The image is compressed using 3D Neural Network architecture and encoded for image transmission. The 3D Neural Network architecture for image compression is main topic of interest of this project work. An attempt to design and develop 3-D adaptive neural network architecture for image compression and decompression that can work in real time, noisy environment is made here. Fig 3: Basic architecture for image compression using NN The proposed 3-DNN architecture is as shown in M-dimensional coefficient vector y is calculated as figure 2. Typical way of compression with neural Y=Zx X network is using hidden layer with lower dimension then the inverse transformation is given by the then input or output layer. In this case, network input transpose of the forward transformation matrix and output is an image. The input and hidden layers resulting in the reconstructed vector perform the compression, it transforms the input X =ZT x Y vector of dimension d(IN) to hidden layer space of Here 16 input neurons, 4 neurons each in 4 hidden dimension d(HI). The dimension of hidden layer is layers and 16 output neurons are considered. purlin lower than of input layer d(HI)<d(IN). Output layer function and purlin functions are used to train the with the help of hidden layers performs input and output neurons of hidden layers. Back decompression. It transforms the vector from hidden propagation technique is also used. layer with lower dimension to output vector space with higher dimension d(HI)<d(OUT). The dimension of input and output layer is the same III. SYSTEM IMPLEMENTATION/ d(IN)=d(OUT). SIMULATION Matlab program is written in the following steps: The basic architecture for image compression using The input image is read by the instruction imread. neural network is shown in figure 3 This will read image saved in the specified path. Next a part of image is read by specifying particular row 93 All Rights Reserved © 2012 IJARCET
  • 3. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 and column values. This part of the image is displayed. Rearrangement of image is the selected application of the multilayer perceptron. Next is the training procedure where specified weight and bias is obtained for image compression & decompression. The reshaping of a block matrix in to a matrix of vector occurs. The design consists of matrix multiplication of two matrices, one is the input image samples(each column), and the second is the weight matrix obtained after training. This multiplied output is added with bias to obtain the compressed output that gets transmitted or stored in compressed format. On the decompression side, the compressed data in Fig 5 matrix form is multiplied with the output weight matrix and added with output bias to get back the Here the image is read in figure. Next a part of original image. The image quality of the image(64*64) is read for compression and the decompressed image depends on the weight matrix decompressed output is shown. and the compression ratios. The image data of size Fig 6: Training the neuron in matlab tool 16x16 is taken in each column wise i.e column 1 of size 16x1 then multiplied by the weight matrix of 4x16 and added with bias matrix of size 4x1 to get a compressed output of 4x1. On the decompression side 4x1 input matrix (compressed image) is multiplied with the weight matrix of size 16x4 and added with output bias matrix of size16x1to get output decompressed matrix of size 16x1. This procedure is repeated for 15 more times to reproduces the original image. In order to achieve better compression nonlinear functions are used both at transmitter and receiver section. The Neural Network has 4 hidden and 16 output layers. Purlin The above snapshot shows training the neuron in and purlin functions are used for input and output matlab tool. hidden layers. Back propagation technique is used. Finally rearrangement of the vectors in to block matrix to display the image. Simulation Results in matlab Image input The different compression algorithms can be compared based on certain performance measures. Read image Compression Ratio (CR) is the ratio of the number of bits required to represent the data before compression to the number of bits required after compression. Bit Read a part of the image rate is the average number of bits per sample or pixel (bpp), in the case of image. The image quality can be Display the image evaluated objectively and subjectively. A standard objective measure of image quality is reconstruction error given by equation 1. Rearrangement of image Error E = Original Image – Reconstructed image (1) Training procedure (fixing the compression ratios & training Two of the error metrics used to compare the various functions) image compression techniques are the mean square error (MSE) and the Peak Signal to Noise Ratio (PSNR). MSE refers to the average value of the Rearrange matrix to display square of the error between the original signal and the reconstruction as given by equation 2. The important Output image parameter that indicates the quality of the Fig 4: Flow chart of matlab program reconstruction is the peak signal-to-noise ratio 94 All Rights Reserved © 2012 IJARCET
  • 4. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 (PSNR). PSNR is defined as the ratio of square of the image. Combination of different compression ratios peak value of the signal to the mean square error, (CR)with different transfer functions gives different expressed in decibels. PSNR values for the same input image. MSE = E / (SIZE OF IMAGE) (2) Fig 7 PSNR 1:16 CR The MSE is the cumulative squared error between the compressed and the original image, whereas PSNR is 20 a Σmeasure of the peak error. The mathematical 15 formulae for the computation of MSE & PSNR is : 10 M N 5 MSE = 1/ MN [ Σ Σ (Ixy – I 'xy)2] (3) 0 psnr i=1j=1 PSNR = 20 * log (255 / sqrt(MSE)) (4) funct where I(x,y) is the original image, I'(x,y) is the approximated version (which is actually the decompressed image) and M, N are the dimensions of PSNR 2:16 CR the images, 255 is the peak signal value. A lower value for MSE means lesser error, and as seen from 20 the inverse relation between the MSE and PSNR. 15 Higher values of PSNR produce better image 10 compression because it means that the ratio of Signal 5 to Noise is higher. Here, the 'signal' is the original 0 psnr image, and the 'noise' is the error in reconstruction. So, a compression scheme having a lower MSE (and funct a high PSNR), can be recognized as a better one. Compression results by adaptive BPNN Structure for size=64*64,r=4,CR=4:16(75%) 4:16 CR Sl Test Image Image Image PSNR 21 no. max MSE 20 Error 19 18 1 cameraman 108 262.01 23.94 17 2 board 166 958.40 17.7765 16 15 3 cell 38 26.462 33.9045 psnr 4 circuit 15 14.113 36.6344 5 Lena 61 100.00 28.1305 6 sun 44 115.84 27.2919 7 girl 58 42.806 31.8157 8 Blue hills 8 22.182 44.7420 9 Sunset 55 39.371 32.1790 10 Water lilies 72 31.379 33.164 11 Winter 36 47.626 31.352 12 Drawing 255 170.77 15.194 13 College 57 97.780 24.037 14 Garden 78 87.990 25.000 15 My photo 101 197.22 22.991 16 Holi 97 175.34 25.7 17 Bhagavadgeetha 67 65.63 29.96 18 Devinecouple 74 80.20 29.1 19 krishna 39 7.1 39.6 20 Goddess 65 45.048 31.5940 Table 1: COMPRESSION RESULTS Combination of different transfer functions gives different decompressed images for the same input 95 All Rights Reserved © 2012 IJARCET
  • 5. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 Fig9 For a better image, the max error must be as low as possible, the mean square error(MSE) must also be small and the peak signal to noise ratio must be high. From the above observations the 'tansig','purelin' and Inputs(inputs with scaling) are storeed as serial in parallel out registers 'purelin','purelin' functions give consistently high PSNRs' for the respective compression ratios(CR). Fig10 Trainrp is a network training function used in this work that updates weight and bias values according to the resilient backpropagation algorithm (Rprop).Trainlm may also be used which is also a network training function that updates weight and bias values according to Levenberg-Marquardt optimization but consumes huge amount of memory. In this work back propagation technique is used. The above results are for 64*64 image. The NN with BP algorithm is also trained with 128*128, 256*256 and 521*512 images. The network trained using backpropagation algorithm is realized using multipliers and adders for FPGA realization .The output of compression and decompression in HDL coding. work is being carried out with the design of fast multiplier which uses Wallace technique. A 9 bit Fig11 Wallace multiplier and a 18 bits carry save adder is designed for this project work. The inputs for 9 bit Wallace tree multiplier and 18 bits carry save adder is obtained by the MATLab program.HDL coding is being carried out for FPGA realization. A 3D Neural network algorithm is planned for the design. HDL/VHDL and FPGA simulation results Fig8 Output obtained by the vertex5 chip scope design IV.HARDWARE AND SOFTWARE REQUIREMENTS The Neural Network archicture will be synthesized on FPGA to estimate the hardware complexity for output of 9 bits Wallace multiplier and 18 bits carry save efficient ASIC implementation. The design is adder mapped on VERTEX5 device from Xilinx 13.1 96 All Rights Reserved © 2012 IJARCET
  • 6. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 4, June 2012 vertion. As the design is mapped on FPGA, it image. Further this is coded in HDL for FPGA supports Reconfigurability. Reconfigurability can be realization and the HDL code is modified for ASIC achieved by changing the input layer values for better Designing and implementation. Low power compression and decompression. techniques are used to reduce power dissipation of the complex architecture. The HDL code for FPGA implementation is modified for ASIC implementation. The general coding styles VII. REFERENCE is adopted for building optimized RTL code for ASIC implementation. [1]. K.VenkataRamanaiah and Cyril Prasanna Raj VLSI To support higher order multiplication it is modeled Architecuture for Neural Network Based Image Compression, © using HDL, and there is a need to develop an RTL 2010 IEEE model using efficient coding styles for ASIC [2]. Hamdy Soliman Computer Science Department New Mexico Synthesis using Synopsys Design Compiler Version 2007.03. The timing analysis will be carried out Tech Neural Net Simulation: SFSN Model For Image using Synopsys Prime Time. Compression, Proceedings of the IEEE, 2001 [3]. Daniel Matolin, J¨org Schreiter, Stefan Getzlaff and Ren´e In brief the hardware used are the FPGA platform, Sch¨uffny,”An Analog VLSI Pulsed Neural Network and ASIC libraries. Implementation for Image”, Proceedings of the International The software requirements are Xilinx for HDL coding , Design compiler and Matlab. Conference on Parallel Computing in Electrical Engineering (PARELEC’04) IEEE [4]. Arbib, Michael A. (Ed.) (1995). The Handbook of Brain V. ADVANTAGES AND LIMITATIONS Theory and Neural Networks. [5]. Alspector, U.S. Patent 4,874,963 "Neuromorphic learning Advantages: Among the all present method, neural network is of networks". October 17, 1989. special interest due to the success it has in many [6]. Ivan Vilovic,” An Experience in Image Compression applications. UsingNeural Networks”,48th International Symposium ELMAR- 1. Learning ability, 2006, 07-09 June 2006, Zadar, Croatia 2. System identification, [7]. Hadi Veisi, Mansour Jamzad,” A Complexity-Based Approach 3. Robustness against noise, 4. Capability of optimum estimation and being used in Image Compression using Neural Networks”, International in parallel structures Journal of Signal Processing 5-2-2009 5.Various kinds of neural networks like multilayer [8]. Rafid Ahmed Khalil,” Hardware Implementation of perceptron (MLP), Hopfield, learning vector Backpropagation Neural Networks on Field programmable Gate quantization (LVQ), self-organizing map (SOM) and Array (FPGA)”, Al-Rafidain Engineering Vol.16 No.3 Aug. 2008 principal component neural networks have been used to compress images. The VLSI Architecture for 3D [9]. Rehna. V. J, Jeya Kumar. M. K,”Hybrid Approaches to Image Neural Network based image compression consume Coding: A Review” (IJACSA) International Journal of Advanced less power and space, hence suitable for low cost and Computer Science and Applications, Vol. 2, No. 7, 2011 reliable Hardware implementation, reconfigurable on [10]. Jan Pohl, Petr Polách, Václav Jirsík,“ALTERNATIVE WAY FPGA and good time to market. The process of OF IMAGE COMPRESSION WITH NEURAL NETWORK”, image compression is very fast as it uses neural [11]. Hossein SAHOOLIZADEH and Amir Abolfazl SURATGAR network rather than codebook. Adaptive Image Compression Using Neural Networks 5th Limitations: International Conference: Sciences Of Electronics, Technologies This technique may have small amount of distortion of Information and Telecommunications March 22-26, 2009 in the decompressed image TUNISIA [12]. Matlab Image Processing Toolbox User’s Guide version-2 VI. CONCLUSION [13]. Image processing study guide by Rafael C. Gonzalez,Richard E. Woods The neural network architecture for image [14]. Digital Image Processing By Gonzalez 2Nd Edition 2002, compressions has been analyzed on FPGA and ASIC (Ebook) Prentice Hall. platforms and need to implement on 3D neural [15]. Neural Network Toolbox™ 6 User’s Guide by Howard network. A Matlab program is written to train the neurons for compression and decompression of Demuth , Mark Beale , Martin Hagan. 97 All Rights Reserved © 2012 IJARCET