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Báo cáo hóa học: " Applications of the Wigner Distribution Function in Signal Processing"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài:Applications of the Wigner Distribution Function in Signal Processing | EURASIP Journal on Applied Signal Processing 2005 10 1520-1534 2005 Hindawi Publishing Corporation Applications of the Wigner Distribution Function in Signal Processing Daniela Dragoman Faculty of Physics University of Bucharest P.O. BoxMG-11 077125 Bucharest-Magurele Romania Email daniela@solid.fizica.unibuc.ro Received 1 April 2004 Revised 23 August 2004 We present a review of the applications of the Wigner distribution function in various areas of signal processing amplitude and phase retrieval signal recognition characterization of arbitrary signals optical systems and devices and coupling coefficient estimation in phase space. Although reference is made to specific signals and systems the mathematical formulation is general and can be applied to either spatial temporal or spatio-temporal phase spaces to coherent partially coherent or discrete signals. The universal and intuitive character of the Wigner distribution approach to signal characterization and processing and its simplicity in solving many issues are evidenced throughout the paper. Keywords and phrases signal processing phase space Wigner distribution function. 1. INTRODUCTION Phase space methods become increasingly exploited in signal processing applications due to their intuitive character universal validity and last but not least simplicity in an increasing number of practical situations. These methods refer to any description of a signal or an optical system through a function that depends jointly on the canonical conjugate phase space variables which are the transverse position vector r and the angular spatial frequency vector k for light beams the time variable t and frequency w for optical pulses or more generally all four coordinates r k t and w. There are many phase space distribution functions that can be employed in signal processing applications the spectrogram the ambiguity function or the Wigner distribution function WDF are just a few examples. These phase space distribution functions