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
ISBN (Print)0819405906
StatePublished - Dec 1 1991
EventSignal and Data Processing of Small Targets 1991 - Orlando, FL, USA
Duration: Apr 1 1991Apr 3 1991

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1481
ISSN (Print)0277-786X

Other

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

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Linear modeling algorithm for tracking time-varying signals'. Together they form a unique fingerprint.

  • Cite this

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