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Raised Cosine Filter in MATLAB

 

MATLAB Code

clc;
clear all; close all;
Data_sym = [0 1 1 0 1 0 0 1];
M = 4;
Phase = 0;
Sampling_rate = 48e3;
Data_Rate = 100;
Bandwidth = 400;
Upsampling_factor = Sampling_rate/Data_Rate;
Rolloff = 0.4;
Upsampled_Data = upsample(pskmod(Data_sym,M,Phase),Upsampling_factor);
Pulse_shape = firrcos(2*Upsampling_factor,Bandwidth/2,Rolloff,Sampling_rate,'rolloff','sqrt');

Output

What if we change the roll-off

roll-off = 0.01



roll-off = 0.99




What if we change the bandwidth

Bandwidth = 100 Hz

 
 
Bandwidth = 1000 Hz 
 


What if we change the sampling rate

 Sampling rate = 10 KHz


 Sampling rate = 100 KHz



Another MATLAB Code

% The code is developed by SalimWireless.Com
clc;
clear;
close all;

% Parameters
fs = 1000; % Sampling frequency in Hz
symbolRate = 100; % Symbol rate (baud)
span = 6; % Filter span in symbols
alpha = 0.25; % Roll-off factor for raised cosine filter


% Generate random data symbols
numSymbols = 100; % Number of symbols
data = randi([0 1], numSymbols, 1) * 2 - 1; % Generate random binary data (BPSK symbols: -1, 1)

% Upsample the data to match sampling rate
samplesPerSymbol = fs / symbolRate; % Samples per symbol based on fs and symbol rate
dataUpsampled = upsample(data, samplesPerSymbol);

% Create a raised cosine filter
rcFilter = rcosdesign(alpha, span, samplesPerSymbol, 'sqrt'); % Square root raised cosine filter

% Apply the filter to the upsampled data
txSignal = conv(dataUpsampled, rcFilter, 'same');

figure;
subplot(4,1,1)
stem(data);
title('Original Message signal');
grid on;

subplot(4,1,2)
plot(dataUpsampled);
title('Upsampled Message signal');
grid on;

subplot(4,1,3)
plot(rcFilter);
title('Raise Cosine Filter Coefficient');
grid on;

subplot(4,1,4)
plot(txSignal);
title('Transmitted Signal after Raised Cosine Filtering');
grid on;
 

Output

 

 
 
 
 

Copy the MATLAB Code above from here

 

 

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Admin & Author: Salim

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  Website: www.salimwireless.com
  Interests: Signal Processing, Telecommunication, 5G Technology, Present & Future Wireless Technologies, Digital Signal Processing, Computer Networks, Millimeter Wave Band Channel, Web Development
  Seeking an opportunity in the Teaching or Electronics & Telecommunication domains.
  Possess M.Tech in Electronic Communication Systems.


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