Ensemble averaging for multiplicative noise
In my problem there exists a vector
x = [x1,x2, ... x_N]
of length N, and I have M measurements
y_k = x .* e_k, 1 <= k <= M,
where e_k is non-gaussian multiplicative noise.
Currently, I denoise by taking logs of each y_k and averaging the M
replicates. In the ideal case (ie additive mean 0 gaussian noise) this
would improve SNR by a factor of sqrt(M). However, since log(e_k) is not
mean 0 gaussian noise, averaging is probably not the best approach.
This is the first time I've encountered an ensemble of signals. Does anyone
know where I can look for more information on this problem?
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