The following should be done in MATLAB:

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Kshitij · Accepted Answer

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solution/rep.docx
clc
clear all
close all
%% No of Bits/Symbols
No_Bits  = input('Enter the Number of Bits : ') % put 10^4
Time_duration  = 1; 
%% Sampling factor
sampling_factor = input('Enter the Sampling Factor : ')% put 4
%% Sampling_frequuency fs
fs = 5/Time_duration; 
%% Eb/N0 data/value
Eb_N0_dB = [0:10]; 
for ii = 1:length(Eb_N0_dB)
   %% while on TX part
   %% Genarating the Symbols (0 & 1) with equl probability or distribution - arrangements
   genrated_symbols = rand(1,No_Bits)>0.5; % generating 0,1 with equal probability
   s = 2*genrated_symbols-1; % BPSK modulation 0 -> -1; 1 -> 0 
   %% for TX --- apply the UP Sampling the signal/data before transmission
   up_sampling = [s;zeros(sampling_factor-1,length(s))];
   up_sampling = up_sampling(:).';
   filter_upsampling_data = 1/sqrt(sampling_factor)*conv(up_sampling,ones(1,sampling_factor));
   filter_upsampling_data = filter_upsampling_data(1:No_Bits*sampling_factor);
   %% Applying or Adding the AWGN -- Additive white gaussian noise to the signal/data
   noise_awgn = 1/sqrt(2)*[randn(1,No_Bits*sampling_factor) + j*randn(1,No_Bits*sampling_factor)];  
   %% Adding the Noise to the signal/data
   awgn_added_signal = filter_upsampling_data + 10^(-Eb_N0_dB(ii)/20)*noise_awgn; 
   %% Initiate/Apply the Matched filer to the Signal
   matched_filter = conv(awgn_added_signal,ones(1,sampling_factor));

The following should be done in MATLAB:

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