### Abstract

This paper presents a new algorithm for tracking the spectrum of non- stationary signals. In general there is no law relating frequency and time, and therefore, the frequency-time curves are usually approach dependent. The algorithm described here is an extension of the well-known Levinson model for estimating the spectra of stationary signals. The signal parameters are estimated by fitting the model with time-varying coefficients based on an exponential forgetting factor that is introduced to the autocorrelation function. The first operation is the excitation with the input sequence y(n), n = 0, 1, 2, ..., N, to produce a scalar output, then time-updating by incrementing the previous value with a scalar. To demonstrate the effectiveness of the algorithm, some numerical examples are considered: chirp signal in white noise, two sinusoids, and speech signals.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Publisher | Publ by Int Soc for Optical Engineering |

Pages | 12-22 |

Number of pages | 11 |

Volume | 1481 |

ISBN (Print) | 0819405906 |

State | Published - 1991 |

Event | Signal and Data Processing of Small Targets 1991 - Orlando, FL, USA Duration: Apr 1 1991 → Apr 3 1991 |

### Other

Other | Signal and Data Processing of Small Targets 1991 |
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City | Orlando, FL, USA |

Period | 4/1/91 → 4/3/91 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 1481, pp. 12-22). Publ by Int Soc for Optical Engineering.

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*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 1481, Publ by Int Soc for Optical Engineering, pp. 12-22, Signal and Data Processing of Small Targets 1991, Orlando, FL, USA, 4/1/91.

**Linear modeling algorithm for tracking time-varying signals.** / Bachnak, Rafic A.

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

TY - GEN

T1 - Linear modeling algorithm for tracking time-varying signals

AU - Bachnak, Rafic A.

PY - 1991

Y1 - 1991

N2 - This paper presents a new algorithm for tracking the spectrum of non- stationary signals. In general there is no law relating frequency and time, and therefore, the frequency-time curves are usually approach dependent. The algorithm described here is an extension of the well-known Levinson model for estimating the spectra of stationary signals. The signal parameters are estimated by fitting the model with time-varying coefficients based on an exponential forgetting factor that is introduced to the autocorrelation function. The first operation is the excitation with the input sequence y(n), n = 0, 1, 2, ..., N, to produce a scalar output, then time-updating by incrementing the previous value with a scalar. To demonstrate the effectiveness of the algorithm, some numerical examples are considered: chirp signal in white noise, two sinusoids, and speech signals.

AB - This paper presents a new algorithm for tracking the spectrum of non- stationary signals. In general there is no law relating frequency and time, and therefore, the frequency-time curves are usually approach dependent. The algorithm described here is an extension of the well-known Levinson model for estimating the spectra of stationary signals. The signal parameters are estimated by fitting the model with time-varying coefficients based on an exponential forgetting factor that is introduced to the autocorrelation function. The first operation is the excitation with the input sequence y(n), n = 0, 1, 2, ..., N, to produce a scalar output, then time-updating by incrementing the previous value with a scalar. To demonstrate the effectiveness of the algorithm, some numerical examples are considered: chirp signal in white noise, two sinusoids, and speech signals.

UR - http://www.scopus.com/inward/record.url?scp=0026406243&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026406243&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0819405906

VL - 1481

SP - 12

EP - 22

BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - Publ by Int Soc for Optical Engineering

ER -