I'm using the following code to generate complex white noise with a specified SNR (signal-to-noise ratio) and zero mean:
import numpy as np
def GenerateNoise(signal, SNR_dB): # desiredSNR [dB]; signal is an array with complex values
n = np.zeros((len(signal),1), dtype=complex)
# SNR = var_signal^2 / var_n^2
snr = 10.0**(SNR_dB/10.0) # Desired linear SNR
var_signal = signal.var() # Measure power of signal
var_n = var_signal / snr # Calculate required noise power for desired SNR
if (var_n == 0): # In case of a null signal
var_n = snr
e = np.random.normal(0, np.sqrt(var_n/2), size=(len(signal), 2)).view(np.complex) # Generate noise with calculated power
for i in range(0, len(signal)):
n[i,0] = n[i,0] + e[i][0]
print(10.0*np.log10((np.var(signal)**2)/(np.var(n)**2)))
return n
The code is inspired from this question. The problem is the SNR displayed is doubled the specified SNR (e.g, with SNR_dB = -10 [dB], the printed value is ~ -20 [dB]).
Does anybody know what is the mistake?
Aucun commentaire:
Enregistrer un commentaire