how can i obtains the SER for the system assuming the channels are known

i want to get the SER for sytem for communication sytems assumingthe channels are known if anyone can help

Answer 1

[Samhitha]

Hi @awais farooq,

To compute SER (Symbol Error Rate) for a communication system, assuming channels are known at the receiver, you follow these steps:

1. Generate random symbols

M = 16; % Example: 16-QAM 
numSymbols = 1e5; 
data = randi([0 M-1], numSymbols, 1); 

2. Modulate the symbols

txSymbols = qammod(data, M, 'UnitAveragePower', true); 

3. Apply the channel (assume known)

H = (randn + 1j*randn)/sqrt(2); % Example: flat fading coefficient 
rxSymbols = H * txSymbols; 

4. Add noise

SNR_dB = 20; % Example SNR 
rxSymbolsNoisy = awgn(rxSymbols, SNR_dB, 'measured'); 

5. Equalize using known channel

rxEqualized = rxSymbolsNoisy / H; 

6. Demodulate

rxData = qamdemod(rxEqualized, M, 'UnitAveragePower', true); 

7. Compute SER

SER = sum(rxData ~= data) / numSymbols; 

For more details, you may look into following documentation:

https://www.mathworks.com/help/serdes/ug/symbol-error-rate.html

Hope this helps!