Analysis of signal extraction, echo detection and removal by complex cepstrum in presence of distortion and noise

✍ Scribed by J.C. Hassab; R. Boucher

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 717 KB
• Volume: 40
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)81304-6

✦ Synopsis

Analysis of signal extraction, echo detection and removal is presented for the case of a convolution-type channel comprising a direct path and a reflected path. It is shown that distortion in the channel modulates the time delay carrier and sets definite limits on the performance of the complex cepstrum. It is also shown that the effectof the noise is additive for a noise spectrum which is pointwise weak relative to that of the signal; otherwise the noise couples with signal and distortion to modulate the time delay carrier and to interfere with it. It is found that a noise bandwidth less than or equal to that of the signal is critical to the performance of the cepstrurn, Comparison of the complex cepstrum with the power cepstrum and autocorrelation function is included.