Title :
Covert zero-crossings represent envelope and phase of band-pass signals
Author :
Kumaresan, Ramdas ; Wang, Yadong
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
Abstract :
The odd-order real zeros of a real-valued signal, s(t), correspond to its conventional or overt zero-crossings. They can be easily determined. But the complex zeros of s(t) are not easy to determine. This suggests the possibility of converting s(t) by using some invertible transformation, into a different signal, whose real zero-crossings determine s(t) completely. This process is known as real-zero conversion. The real zero-crossings of the converted signal are termed covert zero-crossings (cozecs), since they only indirectly determine s(t). In this paper we present a new adaptive algorithm for converting a band-pass signal into a pair of signals whose real zero-crossings essentially determine its envelope and phase. Our algorithm is based on modeling s(t) using pole-zero models in the complex-time (C) plane. Drawing parallels to well known ideas in the area of speech/spectral analysis, we decompose s(t) into its minimum-phase and all-phase components. These components are then represented by their associated zero-crossings.
Keywords :
adaptive signal processing; poles and zeros; signal representation; transforms; adaptive algorithm; all-phase component; band-pass signals; complex zeros; complex-time plane; covert zero-crossings; cozecs; envelope; invertible transformation; minimum-phase component; odd-order real zeros; phase; pole-zero models; real-valued signal; real-zero conversion; represention; zero-crossings; Adaptive algorithm; Bandwidth; Discrete transforms; Filtering theory; Finite impulse response filter; Frequency response; Polynomials; Signal analysis;
Conference_Titel :
Signals, Systems, and Computers, 1999. Conference Record of the Thirty-Third Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-5700-0
DOI :
10.1109/ACSSC.1999.831868