Wigner distribution\'s cross-terms suppressing for radar signals processing
- 1 Ph.D. (Eng.), Senior Research Scientist, JSC «Concern «VEGA»
Abstract
Cross-terms may be suppressed during calculation of the Wigner Distribution. Separation cross-terms by time and frequency types very simplified its elimination. Window length duration must be twice or more then duration of pulses within input signal. If duration of each pulse is very different or unknown calculations had to repeat for several values of window length. The spectral Window length must be inverse proportional to time Window length. The Wigner Distribution is recommended compute together with Short-time Fourier Transform or spectrogram with the same window length.
How to cite
Евсиков М.В. Подавление перекрестных членов преобразования Вигнера при обработке радиолокационных сигналов // Успехи современной радиоэлектроники. 2015. № 5. С. 116–125.
References
- Wigner E.P. On the quantum correction for thermodynamic equilibrium // Physics Review. V. 40. 1932. P. 749-759.
- Ville J.Theorie et applications de la notion de signal analytique // Cables et Transmission. V. 2A. 1948. P. 61-74.
- Cohen L.Time-Frequency Distributions - A Review // Proc. IEEE. July 1989. V. 77. № 7. Perevod na russkijj jazyk: Koehn L. Vremja-chastotnye raspredelenija: Obzor // TIIEHR. T. 77. 1989. № 10.S. 72-120.
- Choi H.I., Williams W.J. Improved time-frequency representation of multicomponent signals using exponential kernels. //IEEE Trans. on ASSP. June 1989. V. 37. № 6. P. 862-871.
- Cohen L.Generalized phase-space distribution functions // J. Math. Phys. 1996. V. 7. P. 781-786.
- Hlawatsch F., Boudreaux-Barlets G.F. Linear and quadratic time-frequency signal representations // IEEE Signal Processing Magazine. Apr. 1992. V. 9. № 2. P. 25-67.
- Rihaczek W.Principles of High-Resolution Radar. New York. NY: McGraw-Hill. 1969.
- Boashash B. (Ed.) Time-Frequency Signal Analysis and Processing: A Comprehensive Reference. Elsevier. Amsterdam. 2003.
- Flandrin P.A Time-Frequency Formulation of Optimum Detection // IEEE Trans. on ASSP. 1988. V. 36. P. 1377-1384.
- Flandrin P. Some features of time-frequency representations of multi-component signals // Proc. IEEE IC ASSP. 1984. P. 41B.4.1‑4.4.
- Garudadri H., Beddoes M.P., Benguerel A.-P., Gilbert J.H.V. On computing the smoothed Wigner distribution // Proc. IEEE IC ASSP. 1987. P. 1521-1524.