MATLAB code for Binary Frequency Shift Keying(BFSK) Modulation and Demodulation
BFSK
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BFSK

Binary Frequency Shift Keying (BFSK) is a type of frequency shift keying (FSK) in which the frequency of a carrier signal is changed based on the data being transmitted. In BFSK, a binary “1” is represented by one frequency, while a binary “0” is represented by a different frequency.

BFSK implementation typically involves the following steps:

  1. Modulation: The data to be transmitted is converted into a binary sequence and used to modulate the frequency of a carrier signal. A binary “1” is represented by a frequency f1 and a binary “0” is represented by a frequency f2.
  2. Transmission: The modulated signal is transmitted over a communication channel, such as a wired or wireless link.
  3. Demodulation: The received signal is demodulated to recover the original data. This is typically done by comparing the frequency of the received signal to the two possible frequencies and determining which one it matches.
  4. Decoding: The demodulated data is decoded to recover the original information.

BFSK is less susceptible to noise and interference than other types of frequency modulation, making it a popular choice for wireless communications systems. However, it is less efficient in terms of bandwidth usage compared to other modulation techniques like PSK or QAM.

Procedure

  1. Edit the MATLAB code
  2. Save the code with a file name with .m extension
  3. Execute the MATLAB code
  4. Observe the input and output waveforms
  5. Analyse the output

MatLab Code

clc;
clear all;
N=8;
b=round(rand(1,N));
subplot(4,1,1);
stem(b,'filled')
xlabel('Bits index')
ylabel('transmitted bits')
NRZ_out=[];
Vp=1;
for index=1:size(b,2)
if b(index)==1
NRZ_out=[NRZ_out ones(1,200)*Vp];
elseif b(index)==0
NRZ_out=[NRZ_out zeros(1,200)*(-Vp)];
end
end
subplot(4,1,2);
plot(NRZ_out)
t=0.005:0.005:8;
f2=3;
f1=5;
A=5;
mod_sig=[];
for(i=1:1:length(NRZ_out))
if(NRZ_out(i)==1)
y=A*cos(2*pi*f1*t(i));
else
y=A*cos(2*pi*f2*t(i));
end
mod_sig=[mod_sig y];
end
subplot(4,1,3);
plot(t,mod_sig)
xlabel('Time in seconds')
ylabel('Modulated signal')
demod_branch_1=mod_sig.*(cos(2*pi*f1*t));
demod_branch_2=mod_sig.*(cos(2*pi*f2*t));
y_1=[];
for i=1:200:size(demod_branch_1,2)
y_1=[y_1 trapz(t(i:i+199),demod_branch_1(i:i+199))];
end
y_2=[];
for i=1:200:size(demod_branch_2,2)
y_2=[y_2 trapz(t(i:i+199),demod_branch_2(i:i+199))];
end
rec_sig=y_1>y_2;
subplot(4,1,4);
stem(rec_sig,'filled','r')
xlabel('Bits index')
ylabel('Received bits')

Output

BFSK

Result


BFSK modulation technique is demonstrated using MATLAB code.

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