Nonlinear time-frequency distributions with multiplication-free kernels

Anna Scaglione, S. Barbarossa, A. Porchia, G. Scarano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we introduce and analyze the so called Complex Sign WVD (CS-WVD), defined as the Wigner-Ville Distribution (WVD) where one of the two signals is substituted by its complex sign. The substitution provides a consistent simplification for the implementation on dedicated hardware. In particular, the number of multiplications is drastically reduced. In spite of the hard nonlinearity used in the CS-WVD, the new transform is still able to deal with multi-component chirp signals. In the paper we provide a statistical analysis of the introduced transformation, in the case of polynomial-phase signals embedded in additive white Gaussian noise. The theoretical analysis is compared to simulation results and to the Cramer-Rao lower bounds.

Original languageEnglish (US)
Title of host publicationIEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP
Editors Anon
Pages456-459
Number of pages4
StatePublished - 1996
Externally publishedYes
EventProceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96 - Corfu, Greece
Duration: Jun 24 1996Jun 26 1996

Other

OtherProceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96
CityCorfu, Greece
Period6/24/966/26/96

Fingerprint

Wigner-Ville distribution
Statistical methods
Substitution reactions
Polynomials
Hardware

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Scaglione, A., Barbarossa, S., Porchia, A., & Scarano, G. (1996). Nonlinear time-frequency distributions with multiplication-free kernels. In Anon (Ed.), IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP (pp. 456-459)

Nonlinear time-frequency distributions with multiplication-free kernels. / Scaglione, Anna; Barbarossa, S.; Porchia, A.; Scarano, G.

IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP. ed. / Anon. 1996. p. 456-459.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Scaglione, A, Barbarossa, S, Porchia, A & Scarano, G 1996, Nonlinear time-frequency distributions with multiplication-free kernels. in Anon (ed.), IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP. pp. 456-459, Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96, Corfu, Greece, 6/24/96.
Scaglione A, Barbarossa S, Porchia A, Scarano G. Nonlinear time-frequency distributions with multiplication-free kernels. In Anon, editor, IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP. 1996. p. 456-459
Scaglione, Anna ; Barbarossa, S. ; Porchia, A. ; Scarano, G. / Nonlinear time-frequency distributions with multiplication-free kernels. IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP. editor / Anon. 1996. pp. 456-459
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