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Efficient computation of the 2-D discrete pseudo-Wigner distribution by the fast Hartley transform

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2 Author(s)
Yiquan Wu ; Dept. of Electron. Eng., Nanjing Univ. of Aeronaut. & Astronaut., China ; Zhaoda Zhu

Wigner distribution (WD) is useful in analyzing and processing nonstationary signals. In this paper the fast Hartley transform (FHT) approach for computing the one-dimensional discrete pseudo-Wigner distribution (1D DPWD) is extended to compute the two-dimensional (2-D) DPWD and a new fast algorithm is presented for computing the 2-D DPWD by the 2-D FHT entirely in the real domain. First, the original 2-D real signal is converted into its complex analytic version. A fast algorithm is proposed to compute the 2-D discrete Hilbert transform using the 2-D FHT instead of the 2-D complex FFT with a reduced number of real operations. Then, the algorithm formulae are derived for computing the 2-D DPWD of the analytic signal by the 2-D FHT. Compared with the conventional FFT approach, the proposed algorithm is performed entirely in the real domain, and the computational complexity is greatly reduced from 3 2-D complex FFT's to 3 2-D real FHT's

Published in:

Aerospace and Electronics Conference, 1995. NAECON 1995., Proceedings of the IEEE 1995 National  (Volume:1 )

Date of Conference:

22-26 May 1995