1. Description
This experiment will modulate a sinusoidal signal, using a repetitive boxcar in the time domain. By providing a signal with these types of abrupt variations in amplitude, the effect of various filters and transforms can be explored.
2. Methods
The signal is given some random noise, and the effect of filtering (linear, bilateral, and the median filter) is examined. The complex cepstrum ("kepstrum") is examined for a general view of changes to both signal and noise as each filter is applied.
3. Results
The signal is processed with each filter and compared to the original signal (before noise was added):
The cepstrum of each is also computed.
4. Conclusions
Each of the filters effectively smoothes the data, with varying degrees of effect on edges, and on both the spectral and cepstral signals.
