Linear Convolution using Matlab Code
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The document describes an experiment to create MATLAB functions for linear and circular convolution that match the functionality of the built-in conv and cconv commands. It outlines the steps to create a linear convolution function, including taking input signals x and h, computing output length, using a for loop to calculate output samples y based on the convolution expression, plotting the output vector y, and verifying that it matches the output of conv.
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![Experiment No: - 02
Aim: Make two different function one for Linear Convolution and
second for Circular Convolution, which are able to performer same
operation as inbuilt functions/command "conv" and "cconv"
respectively.
PROCEDURE:-
Linear Convolution
Open MATLAB
Open new M-file
Type the program
Save in current directory
Compile and Run the program
For the output see command window Figure window
Step 1.Take input signals x[n] and h[n] as vectors.
Step 2. Compute length of the input signals (x and h) and
convoluted signal(y), and store it in m, n and L respectively.
Step 3.Use for loop to compute samples of y from 1 to L.( Used the
required expression)
Step 4.Plot/stem vector y as it is convolution of x and h.
Step 5.Manage and label the x-axes in proper range.
Step 6.Generalized this function for any value of x and h.
PROGRAM:-
function[y]=shyamconv(x,h)
m=length(x)
l=length(h)](https://image.slidesharecdn.com/1120581611917311205816-150415045530-conversion-gate01/85/Linear-Convolution-using-Matlab-Code-1-320.jpg)
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Linear Convolution using Matlab Code
- 1. Experiment No: - 02 Aim: Make two different function one for Linear Convolution and second for Circular Convolution, which are able to performer same operation as inbuilt functions/command "conv" and "cconv" respectively. PROCEDURE:- Linear Convolution Open MATLAB Open new M-file Type the program Save in current directory Compile and Run the program For the output see command window Figure window Step 1.Take input signals x[n] and h[n] as vectors. Step 2. Compute length of the input signals (x and h) and convoluted signal(y), and store it in m, n and L respectively. Step 3.Use for loop to compute samples of y from 1 to L.( Used the required expression) Step 4.Plot/stem vector y as it is convolution of x and h. Step 5.Manage and label the x-axes in proper range. Step 6.Generalized this function for any value of x and h. PROGRAM:- function[y]=shyamconv(x,h) m=length(x) l=length(h)
- 2. n=m+l-1 for t=1:n y(t)=0 for k=max(1,t-(m-1)):min(t,m) y(t)=y(t)+x(k).*h(t-k+1) end end stem(y) conv(x,h) End RESULTS:- Thus the MATLAB program for linear convolution using function declaration in MATLAB was performed and the output was verified. OUTPUT: