4 ijaems nov-2015-4-fsk demodulator- case study of pll application

International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
Infogain Publication (Infogainpublication.com) ISSN : 2454-1311
www.ijaems.com Page | 18
FSK Demodulator- Case Study of PLL
Application
Sreekar Chintalapati1
, Meghana Reddy Papudi2
, P.Sathya3
1, 2
Department of ECE, VIT University, Tamil Nadu, India
3
Assistant Professor, Department of ECE, VIT University, Tamil Nadu, India
Abstract— FSK Demodulator, one of the applications of
PLL has been implemented using both hardware and
software. Results are found to be similar and based on
these results it is believed that this will contribute for the
improvement in performance and reliability for future
communication systems. Hence this will also contribute to
the development of higher reliability of the systems.
Keywords— implementation, contribute, improvement
reliability,
I. INTRODUCTION
An early description of phase-locked loop (PLL)
appeared in the papers by Appleton [l] in 1923 and
deBellescize [2] in 1932. Weakening the use of Doppler
shift effect, the advent of PLL has contributed to
coherent communication systems. In the late 1970’s, the
theoretical description of PLL was well established [3],
[4], [5], but PLL did not achieve widespread use until
much later because of the difficulty in realization. With
the rapid development of integrated circuits(IC’s) in the
1970’s, the applications of PLL were widely used in
modem communication systems. Since then, the use of
PLL has seen a substantial progress when compared with
its earlier professional use in high-precision apparatuses
into its current use in consumers’ electronic products
which has made much progress. To improve
performance and reliability, especially in common
electronic appliances that will be used daily, it has
enabled modern electronic systems. In the 1970’s,
researchers in the control field first plaid attention to the
realization of PLL for a synchronous motor speed
control system [6]. Since then, Analog PLL IC’s [7]-[15]
were used in developing phase-locked servo systems
(PLS’s) for ac and dc motors’ servomechanisms. Over
the past 10 years, the rapidly developed high-
performance digital IC’s and microprocessors have
strongly motivated the implementation of PLS using
digital technology. This has led to the development of
new types of controllers with added PLS features for
achieving an easy-use and easy-control nature for ac and
dc servo drives [11], [16]-[19], [20], [21].
II. COMPOSITION AND PRINCIPLE OF DIGITAL
PLL
To control frequency and phase of the oscillator signal
within control loop, PLL (phase-locked loop) which is a
feedback control unit uses an external input reference
signal. PLL is usually applied in closed-loop tracking
phase-locked loop circuit, for that frequency of output
signal can auto-track the frequency of input signal.
During the process, when the input and output signal
phases are approaching to be consistent, we say that
phase-locked loop is running in traction and showing its
transient characteristics; when the input and output signal
phases remains the same, we say phase-locked loop into
locked state and in steady status;. A typical PLL is
usually composed of phase detector (PD), loop filter (LF)
and voltage-controlled oscillators (VCO), shown in Fig.1.
Fig. 1 Basic FM Demodulator circuit
Because the main difference of phase-locked loop and
frequency-locked loop is phase detector, this paper gives
the principle of phase-locked loop in the following
introduction.
Fig. 2 Block Diagram of Phase Locked Loop
2.1 Phase detector [PD]
Sinusoidal PD’s and the square signal PD’s are basically
the two types of PD’s available. A sinusoidal PD

inherently has phase detection interval (-7r/2, +7r/2)
which operates as a multiplier and is a zero memory
device. The square signal PD’s, also called sequential
PD’s, are implemented by sequential logic circuits.
Generating PD characteristics that are difficult or
impossible to obtain with multiplier circuits are generated
by using these Sequential PD’s which contain memory of
past events. They are usually built up from digital circuits
and operate with binary rectangular input waveforms.
And hence the name called digital phase detectors. The
characteristics of the square signal PD’s are of the linear
type over the phase detection interval (-π/2, +π/2) for
triangular PD, (-π, + π) for saw tooth PD, and (-2 π, +2 π)
for sequential phase/frequency detector (PFD) [22], [23],
[24], [25], [26], [27]. Their characteristics are depicted in
Fig. 2 [28]. All curves of Fig. 3 are shown with the same
slope at phase error = final phase-initial phase, = 0, which
means that the different PD’s all have the same factor Kd.
Increasing PD phase detection interval provides a larger
tracking range, larger lock limit, than those obtainable
from a sinusoidal PD.
2.2 Voltage-Controlled Oscillator
Voltage-controlled oscillators, which in short called as
VCO’s are used in the PLL. Basically these are not
different from those employed for other applications, such
as modulation and automatic frequency control. There are
some crucial requirements for VCO which are 1) phase
stability, 2) large frequency deviation, 3) high modulation
sensitivity K, 4) linearity of frequency versus control
voltage, and 5) capability for accepting wide-band
modulation. These are the four types of VCO’s that are
commonly used in the order of decreasing stability,
namely, voltage controlled crystal oscillators (VCXO’s),
resonator oscillators, RC multivibrators, and YIG-tuned
oscillators [37], [38]. The phase stability can be enhanced
by a number of ways: 1) using high Q crystal and circuit,
2) maintaining low noise in the amplifier portion, 3)
stabilizing temperature, and 4) keeping mechanical
stability. An LC oscillator must be used, if a wider
frequency range is required. The standard Hartley,
Colpitts, and Clapp circuits make their appearance in this
application. A varactor, junction capacitance of a diode
are used to accomplish the tuning.
Fig. 3 Characteristics of Phase Detector
2.3 Loop Filter
The low-pass filter indicated in the figure is nothing but
the Loop Filter. This is used to suppress the noise and the
high-frequency components from the PD and provide a
dc-controlled signal for the VCO. And hence the filtering
results not only reflects the phase changing of the filter
input signal, but also avoids extremely regulating voltage
controlled oscillator occurring because of noise. Loop
filter design is mainly discussed in this paper. There are
quite a few ranges in which the PLL can be defined as
shown in the figure below.
Fig. 4 Different ranges that are defined in PLL
III. SOFTWARE & HARDWARE
IMPLEMENTATION OF FSK
In our project we have implemented the PLL in software
by writing a Matlab code. The code that is implemented
in the software is as shown below
1) First step is to give the basic input commands
Clear all;
Close all;
f=1000; %Carrier frequency
fs=100000; %Sample frequency
N=5000; %Number of samples
Ts=1/fs;
t= (0: Ts :( N*Ts) - Ts);
2) Second step is to create the message signal and

the real, imaginary parts of a CW modulated carrier to be
tracked.
%Create the message signal
f1=100; %Modulating frequency
msg= sin (2*pi*f1*t);
kf=.0628; %Modulation index
%Create the real and imaginary parts of a CW modulated
carrier to be tracked.
Signal=exp (j*(2*pi*f*t+2*pi*kf*cumsum (msg)));
Signal1=exp (j*(2*pi*f*t));
3) Now initializing the PLL loop and loop filter
parameters.
%Initialize PLL Loop
M (1) =30;
e (1) =0;
N (1) =0;
vco (1) =0;
%Define Loop Filter parameters (Sets damping)
kp=0.15; %Proportional constant
ki=0.1; %Integrator constant
4) Finally implementing the PLL and plotting the
waveforms.
for n=2: length (Signal)
vco (n) =conj (exp (j*(2*pi*n*f/fs+M (n-1))));
N (n) =imag (Signal (n)*vco (n));
e (n) =e (n-1) + (kp+ki)*N (n)-ki*N (n-1);
M (n) =M (n-1) +e (n); %Update VCO
end;
%Plot waveforms
startplot = 1;
endplot = 1000;
5) Now looking into the figures
figure (1);
subplot (3, 2,1);
plot(t(startplot:endplot), msg(startplot:endplot));
title('100 Hz message signal');
%xlabel('Time (seconds)');
ylabel('Amplitude');
grid;
figure(1);
subplot(3,2,2);
plot(t(startplot:endplot), real(Signal(startplot:endplot)));
title('FM (1KHz carrier modulated with a 100 Hz message
signal)');
grid;
figure(1)
subplot(3,2,3);
plot(t(startplot:endplot), e(startplot:endplot));
title('PLL Loop Filter/Integrator Output');
grid;
6) Referring to all the subplots which will be there
in the output of the PLL implementation.
subplot(3,2,4);
plot(t(startplot:endplot), real(vco(startplot:endplot)));
title('VCO Output (PLL tracking the input signal)');
grid;
subplot(3,2,5);
plot(t(startplot:endplot), phd_output(startplot:endplot));
title('Phase Detecter Output');
xlabel('Time (seconds)');
grid;
subplot(3,2,6);
plot(t(startplot:endplot), real(Signal1(startplot:endplot)));
title('Unmodulated Carrier');
xlabel('Time (seconds)');
grid;
figure(1);
subplot(3,2,1);
plot(t(startplot:endplot), msg(startplot:endplot));
title('100 Hz message signal');
grid;
figure(1);
subplot(3,2,2);
plot(t(startplot:endplot), real(Signal(startplot:endplot)));
title('FM (1KHz carrier modulated with a 100 Hz message
signal)');
grid;
figure(1)
subplot(3,2,3);
plot(t(startplot:endplot), e(startplot:endplot));
title('PLL Loop Filter/Integrator Output');

grid;
The Output that we’re arrived with would be a reference
that PLL has been executed with absolute perfection. The
output for the matlab code shown above will look like:
Fig. 5 Output Observed after the Implementation in
Software
And the Circuit that has been constructed by using the
hardware available would bring you almost the same
results that you are obtained with in using the software.
The circuit constructed and the output obtained would
look like:
Fig. 6 Hardware Implementation of FSK Demodulation
IV. CONFIGURATIONS OF PLL APPLICATIONS
Integrated PLL’s developed since the 1970's are versatile
systems. For the use in a variety of frequency-selective
demodulation, signal conditioning, or frequency-synthesis
applications these are suitable. PLL techniques in
communication are well developed and widely used for
FM, AM, video, signal processing, telecommunication
systems, etc. Due to its inherent configuration, PLL is
frequently realized as a signal modulator or synthesizer.
Using the PLL with analog PLL IC’s (NE565 developed
by Signetics) for a motor design began in the 1970's [29]-
[35], [36]. Tracking the phase and frequency of the
incoming reference signal that corresponds to the input
command, such as speed or position and maintaining that
continuously is done by a frequency feedback control
configuration, which is called a PLS.
V. POPULAR PLL INTEGRATED CIRCUITS (IC’S)
A Sweeping variety of IC’s for PLL are available from
semiconductor manufacturers. Transistor-transistor logic
(TTL), complementary metal-oxide-semiconductor
(CMOS), and emitter coupled logic (ECL) are used in
implementing the PLL. These days, fully integrated PLL
on a single chip can operate at frequencies up to 35 MHz,
such as Exar XR-215 PLL. Combination of sub-PLL IC’s
(including only PD, prescaler, and programmable
counter) and discrete higher frequency VCO’s are used in
achieving the higher frequency PLL’s. It is an important
trend to realize that by constituting a high-frequency
VCO into a modulus device in the near future a fully
integrated higher frequency PLL. Versatile PLL IC’s

operating at frequencies above 2.5 GHz are being
developed by Motorola and Plessey, nowadays. A 2.5-
GHz bipolar monolithic series-input phase locked loop
synthesizer with phase-swallow function is nothing but
the Motorola MC 12210. This is designed for the high-
frequency local oscillator of an RF transceiver in
handheld communication applications. These kind of PLL
IC’s can operate at a minimum supply voltage of 2.7 V
for input frequencies up to 2.5 GHz with a typical current
drain of 9.5 mA. And these PLL synthesizers operate at a
low power consumption (5 V and 30 mA).
VI. CONCLUSION
This paper has given a concise review of the PLL
technique, which is applicable to communication and
servo control systems. PLL circuit has been implemented
using both the software and hardware and the results are
found to be in accordance with each other. PLL
technology’s status and its applications have been
discussed and also had a look into it’s development
trends. It is pointed out that the development of better
PLL technology and the associated modular IC’s is
continuing.
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