Consider having a signal in the time domain, and you want to smooth the signal. Moving average and Gaussian filters that are used. How do you choose which is used for what?
What are the conditions under which Gaussian is better and conditions under which moving average is better?
What I am trying to do with this signal is, peak detection initially, then apply small windows on every part and figure out the frequency changes (Doppler shifts) for every part to figure out the direction of motion from the frequency change. I want to smoothen out the signal in time-domain without loss of information in the frequency domain. I thought for the part of figuring out the Doppler shifts, using STFT would be a good idea.If reference could be given to some paper, that would also be really helpful.