Calculation of channel capacity

Question

Zaref Li 2024-4-30

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https://ww2.mathworks.cn/matlabcentral/answers/2113436-calculation-of-channel-capacity

回答： sai charan sampara 2024-6-11

Hi everyone,

I want to plot the graph of channel capacity in SNR. I wrote such a code for him. I'm not sure of its accuracy. Are this code and the resulting graph correct?

SNR_dB = 0:.1:50; 
B = 1; % BW (Hz)
C = B * log2(1 + 10.^(SNR_dB/10));
plot(SNR_dB, C, 'LineWidth', 1);
xlabel('SNR (dB)');
ylabel('Channel Capacity (bit/s)');
grid on;

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Answer 1

sai charan sampara 2024-6-11

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Hello Zaref,

The above code you provided appears to be correct for plotting the graph of channel capacity in SNR(dB) provided the channel is a fixed bandwidth ("B" in the above code) Gaussian Channel in the presence of additive Gaussian noise. This relation is called the Shannon-Hartley Theorem. The graph is also the accurate representation of the same.

SNR_dB = -20:.1:30;

B = 1; % BW (Hz)

C = B * log2(1 + 10.^(SNR_dB/10));

plot(SNR_dB, C, 'LineWidth', 1);

xlabel('SNR (dB)');

ylabel('Channel Capacity (bit/s)');

grid on;