Auto-term representation by the reduced interference distributions: a procedure for kernel design

• Published in: IEEE transactions on signal processing Vol. 44; no. 6; pp. 1557 - 1563
• Main Author: Stankovic, L.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.1996; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Bandwidth; Delay; Exact sciences and technology; Frequency modulation; Information, signal and communications theory; Interference; Kernel; Shape; Signal analysis; Signal and communications theory; Signal representation. Spectral analysis; Signal representations; Signal, noise; Spectrogram; Telecommunications and information theory; Time frequency analysis; Signal processing; Function representation; Noise reduction; Signal analysis
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/78.506622

An analysis of auto-term presentation using the reduced interference distributions (RID) is done. Comparison with an ideal time-frequency signal representation is taken as a basis for this analysis. The following distributions are considered: Choi-Williams (1989), Zao-Atlas-Marks, Born-Jordan, sinc, Zhang-Sato (see ibid., vol.42, no.1, p.54, 1994), Butterworth, spectrogram, and the author's recently proposed S-method for time-frequency analysis. Various distributions produce different auto-term shapes. In all cases, the condition for cross-term reduction is contradictory to the condition for high auto-term quality. A procedure for designing a kernel that will produce the desired auto-term shape is demonstrated. An optimal kernel, with respect to the auto-term quality and cross-term suppression, is derived.