Phase Recovery from Bispectrum

Abstract

In this paper, first a procedure to recover the Fourier phase of a signal from the phase of its bispectrum; namely the Matsuoka and Ulrych algorithm, is presented. It has also been shown that the Matsuoka and Ulrych algorithm fails when wrapped bispectral phase is used. An alternative scheme which reduces the computational complexity is presented. The scheme is based on the observation that the Fourier phase is an odd function of frequency. We demonstrate the results of the proposed algorithm for the phase recovery of deterministic signals and stochastic processes.

Indexing terms:

• Bispectrum
• Bicepstrum
• Phase Unwrapping

Additional information

Notes on contributors

S G Hirlekar

S G Hirlekar, was born in Mumbai, India on October 9, 1972. He received BE (Instrumentation) degree in 1994 and ME (Instrumentation) degree in 1998 from Bombay University, Mumbai, India and Swami Ramanand Teerth Marathwada University, Nanded, India respectively. From January 1995 to July 1996 he was working with Thoshniwal Brothers (Bombay) Pvt Ltd as a Service Engineer of analytical instruments. Presently he is working with S D Fine-Chem Ltd Mumbai as a Service Engineer of analytical instruments.

R S Holambe

R S Holambe, was born in Maindwadi, District Beed, Maharashtra, India on March 5, 1962. He received BE (Instrumentation) degree in 1985 and ME (Instrumentation) degree in 1990 from Marathwada University, Aurangabad, India. He received PhD degree from Indian Institute of Technology, Kharagpur, India in 1997. He joined as a Lecturer in Instrumentation at Shri Guru Gobind Singhji College of Engineering and Technology, Nanded, India in 1985. Presently he is working as an Assistant Professor at Shri Guru Gobind Singhji College of Engineering and Technology, Nanded. His research areas include signal processing, image processing and applications of higher-order spectra and wavelet transform in speech and biomedical engineering.

T K Basu

T K Basu, obtained his BTech (Hons) in Electrical Engineering and MTech in Power System Engineering in 1968 and 1970 respectively from IIT Kharagpur. He obtained his PhD from IIT Delhi in 1975. He joined R E C Kurukshetra in 1973 as a Lecturer in Electrical Engineering where he became an Assistant Professor in 1975. In July 1976 he joined IIT Bombay as an Assistant Professor. He later on shifted to IIT Kharagpur in April 1980 where he became a Professor in July 1985. He is currently the Head of the Department of Electrical Engineering at IIT, Kharagpur. Dr Basu has published many research papers in national and international journals spanning a wide spectrum of subjects like electrical machines, power system stability, adaptive control, hydraulic and pneumatic control, load forecasting, and signal and image processing. He is a Life Fellow of IE(I), ISTAM and Life member of ISTE and SSI.