### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

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

*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.

}

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 - http://www.scopus.com/inward/record.url?scp=0029698892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029698892&partnerID=8YFLogxK

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

ER -