Nonlinear time-frequency distributions with multiplication-free kernels

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

Nonlinear time-frequency distributions with multiplication-free kernels

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English (US)
Title of host publication	IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP
Editors	Anon
Pages	456-459
Number of pages	4
State	Published - 1996
Externally published	Yes
Event	Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96 - Corfu, Greece Duration: Jun 24 1996 → Jun 26 1996

Other

Other	Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96
City	Corfu, Greece
Period	6/24/96 → 6/26/96

ASJC Scopus subject areas

General Engineering

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, Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96, Corfu, Greece, 6/24/96.

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title = "Nonlinear time-frequency distributions with multiplication-free kernels",

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.",

author = "Anna Scaglione and S. Barbarossa and A. Porchia and G. Scarano",

year = "1996",

language = "English (US)",

pages = "456--459",

editor = "Anon",

booktitle = "IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP",

note = "Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96 ; Conference date: 24-06-1996 Through 26-06-1996",

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TY - GEN

T1 - Nonlinear time-frequency distributions with multiplication-free kernels

AU - Scaglione, Anna

AU - Barbarossa, S.

AU - Porchia, A.

AU - Scarano, G.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0029698892

UR - https://www.scopus.com/pages/publications/0029698892#tab=citedBy

M3 - Conference contribution

AN - SCOPUS:0029698892

SP - 456

EP - 459

BT - IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP

A2 - Anon, null

T2 - Proceedings of the 1996 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96

Y2 - 24 June 1996 through 26 June 1996

ER -

Nonlinear time-frequency distributions with multiplication-free kernels

Abstract

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ASJC Scopus subject areas

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