Title :
The complex cepstrum and bicepstrum: analytic performance evaluation in the presence of Gaussian noise
Author :
Petropulu, Athina P. ; Nikias, Chrysostomos L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
fDate :
7/1/1990 12:00:00 AM
Abstract :
An analytic performance evaluation of the complex cepstrum, power cepstrum, bicepstrum, and power bicepstrum is presented by providing approximate expressions of the bias and variance of the cepstrum parameters due to the presence of Gaussian noise. The approximations are based on the asymptotic properties of bispectrum estimates, and they are valid for moderate signal-to-noise ratios (SNRs). The assumed model consists of a deterministic signal (e.g. multiple echoes) in additive white Gaussian noise and finite length data. The validity of the analytic expressions is verified with Monte Carlo simulations. Performance comparisons between bicepstrum and cepstrum methods suggest that the improved performance of the bicepstrum is a function of SNR, A(ω), M, and N
Keywords :
parameter estimation; random noise; spectral analysis; AWGN; Gaussian noise; Monte Carlo simulations; SNR; additive white Gaussian noise; analytic performance evaluation; asymptotic properties; bias; bicepstrum; complex cepstrum; deterministic signal; finite length data; moderate signal-to-noise ratios; power bicepstrum; power cepstrum; variance; Additive noise; Cepstral analysis; Cepstrum; Delay effects; Gaussian noise; Noise measurement; Performance analysis; Signal analysis; Signal to noise ratio; Spectral analysis;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
