Inverse signal approach to computing the envelope of a real valued signal
Date of Original Version
We address the problem of estimating the envelope of a real-valued signal, s(t), that is observed for a duration of T seconds. We model s(t) using a Fourier series, by considering periodic extensions of the signal. By using an analog of the autocorrelation method of linear prediction on the Fourier coefficients of s(t), the envelope of the signal is estimated without explicitly computing the analytic signal through Hilbert transformation. Using this method the envelope of a non-stationary signal can be computed by processing the signal through a sliding T-second window.
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Kumaresan, Ramdas. "Inverse signal approach to computing the envelope of a real valued signal." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 3, (1999): 1349-1352. doi:10.1109/icassp.1999.756230.