Title :
An inverse signal approach to computing the envelope of a real valued signal
Author :
Kumaresan, Ramdas
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
Abstract :
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 auto-correlation method of linear prediction on the Fourier coefficients of s(t) the envelope of the signal is estimated without explicitly computing the analytic signal.
Keywords :
discrete Fourier transforms; frequency estimation; inverse problems; prediction theory; signal processing; spectral analysis; DFT; Fourier coefficients; Fourier series; analytic signal; auto-correlation method; envelope estimation; instantaneous frequency estimation; inverse signal approach; linear prediction; periodic signal extensions; real valued signal envelope; sequence; spectral analysis; spectral domain; Analog computers; Autocorrelation; Convolution; Finite impulse response filter; Fourier series; Frequency; Narrowband; Nonlinear filters; Signal analysis; Speech processing;
Journal_Title :
Signal Processing Letters, IEEE
