Separable estimation of discrete and continuous spectra based on genetic algorithm

K. Ohnishi, H. Asida, A. Sano

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This paper is concerned with a method for separately estimating line and continuous spectra of signals which are composed of multiple sinusoids and an autoregressive (AR) noise. The whitening filter approach is proposed in which the frequency estimates are obtained by applying the Toeplitz approximation method to the output of the whitening filter. The filter coefficients which correspond to the AR parameters are iteratively calculated so as to minimize the squared prediction error criterion, however, the solution is a local minimum. By employing the genetic algorithm in the choice of initial values of the iterative AR parameter estimation, we can attain a globally optimal solution. The decision rule for deciding the number of sinusoids and the order of the AR model is also investigated. The validity of the proposed algorithm is examined in numerical simulations including a benchmark example.

Original languageEnglish
Title of host publicationProceedings of the SICE Annual Conference
Pages861-866
Number of pages6
Publication statusPublished - 1994

Fingerprint

Parameter estimation
Genetic algorithms
Computer simulation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Ohnishi, K., Asida, H., & Sano, A. (1994). Separable estimation of discrete and continuous spectra based on genetic algorithm. In Proceedings of the SICE Annual Conference (pp. 861-866)

Separable estimation of discrete and continuous spectra based on genetic algorithm. / Ohnishi, K.; Asida, H.; Sano, A.

Proceedings of the SICE Annual Conference. 1994. p. 861-866.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ohnishi, K, Asida, H & Sano, A 1994, Separable estimation of discrete and continuous spectra based on genetic algorithm. in Proceedings of the SICE Annual Conference. pp. 861-866.
Ohnishi K, Asida H, Sano A. Separable estimation of discrete and continuous spectra based on genetic algorithm. In Proceedings of the SICE Annual Conference. 1994. p. 861-866
Ohnishi, K. ; Asida, H. ; Sano, A. / Separable estimation of discrete and continuous spectra based on genetic algorithm. Proceedings of the SICE Annual Conference. 1994. pp. 861-866
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