Linear modeling algorithm for tracking time-varying signals

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

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 languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages12-22
Number of pages11
Volume1481
ISBN (Print)0819405906
StatePublished - 1991
EventSignal and Data Processing of Small Targets 1991 - Orlando, FL, USA
Duration: Apr 1 1991Apr 3 1991

Other

OtherSignal and Data Processing of Small Targets 1991
CityOrlando, FL, USA
Period4/1/914/3/91

Fingerprint

chirp signals
White noise
scalars
Autocorrelation
sine waves
white noise
autocorrelation
estimating
output
curves
coefficients
excitation

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Bachnak, R. A. (1991). Linear modeling algorithm for tracking time-varying signals. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 1481, pp. 12-22). Publ by Int Soc for Optical Engineering.
Bachnak, Rafic A. / Linear modeling algorithm for tracking time-varying signals. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 1481 Publ by Int Soc for Optical Engineering, 1991. pp. 12-22
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Bachnak, RA 1991, Linear modeling algorithm for tracking time-varying signals. in 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.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 1481 Publ by Int Soc for Optical Engineering, 1991. p. 12-22.

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

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Bachnak RA. Linear modeling algorithm for tracking time-varying signals. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 1481. Publ by Int Soc for Optical Engineering. 1991. p. 12-22