relation between throughput and snr in awgn channel

code for the relation between throughput and snr in awgn channel

Answer 1

[AR]

Hi @vardhani grandhi,

There is a MATLAB Answers post that discusses the Shannon-Hartley Theorem, which illustrates the theoretical relationship between throughput and SNR for an AWGN channel.

You can refer to the following MATLAB Answers post:

https://www.mathworks.com/matlabcentral/answers/2113436-calculation-of-channel-capacity

Here is a simple MATLAB code snippet that demonstrates this relationship:

% Parameters
bandwidth = 1e6;                    % Bandwidth (Hz) - e.g., 1 MHz
SNR_dB = 0:0.5:30;                  % SNR values in dB
SNR_linear = 10.^(SNR_dB / 10);     % Convert dB to linear scale

% Shannon capacity formula: C = B * log2(1 + SNR)
throughput_bps = bandwidth * log2(1 + SNR_linear);  % in bits per second

% Plotting
figure;
plot(SNR_dB, throughput_bps / 1e6, 'r-', 'LineWidth', 2);
grid on;
xlabel('SNR (dB)');
ylabel('Throughput (Mbps)');
title('Shannon Capacity: Throughput vs. SNR in AWGN Channel');

I hope this answers the question.