### Abstract

The discrete time-frequency matched filter should replicate the continuous time-frequency matched filter, but the methods differ. To avoid aliasing, the discrete method transforms the real-valued signal to the complex-valued analytic signal. The theory for the time-frequency matched filter does not consider the discrete case using the analytic signal. The authors find that the performance of the matched filter degrades when using the analytic, rather than real-valued, signal. This performance degradation is dependent on the signal-to-noise ratio and the signal type. In addition, the authors present a simple algorithm to efficiently compute the time-frequency matched filter. The algorithm with the real-valued signal, comparative to using the analytic signal, requires one-quarter of the computational load. Hence the real-valued signal - and not the analytic signal - enables an accurate and efficient implementation of the time-frequency matched filter. 2010

Original language | English |
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Pages (from-to) | 428-437 |

Number of pages | 10 |

Journal | IET Signal Processing |

Volume | 4 |

Issue number | 4 |

DOIs | |

Publication status | Published - Aug 2010 |

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### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering

### Cite this

*IET Signal Processing*,

*4*(4), 428-437. https://doi.org/10.1049/iet-spr.2009.0104

**Accurate and efficient implementation of the time-frequency matched filter.** / O'Toole, J. M.; Mesbah, M.; Boashash, B.

Research output: Contribution to journal › Article

*IET Signal Processing*, vol. 4, no. 4, pp. 428-437. https://doi.org/10.1049/iet-spr.2009.0104

}

TY - JOUR

T1 - Accurate and efficient implementation of the time-frequency matched filter

AU - O'Toole, J. M.

AU - Mesbah, M.

AU - Boashash, B.

PY - 2010/8

Y1 - 2010/8

N2 - The discrete time-frequency matched filter should replicate the continuous time-frequency matched filter, but the methods differ. To avoid aliasing, the discrete method transforms the real-valued signal to the complex-valued analytic signal. The theory for the time-frequency matched filter does not consider the discrete case using the analytic signal. The authors find that the performance of the matched filter degrades when using the analytic, rather than real-valued, signal. This performance degradation is dependent on the signal-to-noise ratio and the signal type. In addition, the authors present a simple algorithm to efficiently compute the time-frequency matched filter. The algorithm with the real-valued signal, comparative to using the analytic signal, requires one-quarter of the computational load. Hence the real-valued signal - and not the analytic signal - enables an accurate and efficient implementation of the time-frequency matched filter. 2010

AB - The discrete time-frequency matched filter should replicate the continuous time-frequency matched filter, but the methods differ. To avoid aliasing, the discrete method transforms the real-valued signal to the complex-valued analytic signal. The theory for the time-frequency matched filter does not consider the discrete case using the analytic signal. The authors find that the performance of the matched filter degrades when using the analytic, rather than real-valued, signal. This performance degradation is dependent on the signal-to-noise ratio and the signal type. In addition, the authors present a simple algorithm to efficiently compute the time-frequency matched filter. The algorithm with the real-valued signal, comparative to using the analytic signal, requires one-quarter of the computational load. Hence the real-valued signal - and not the analytic signal - enables an accurate and efficient implementation of the time-frequency matched filter. 2010

UR - http://www.scopus.com/inward/record.url?scp=79952134817&partnerID=8YFLogxK

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U2 - 10.1049/iet-spr.2009.0104

DO - 10.1049/iet-spr.2009.0104

M3 - Article

VL - 4

SP - 428

EP - 437

JO - IET Signal Processing

JF - IET Signal Processing

SN - 1751-9675

IS - 4

ER -