2003•Unpublished venueRequires access

A spectral estimation algorithm based on minimum cross entropy method

Takeshi Wada, K. Nakamuro, S. Sugimoto

Open publisher page 5 citations

Abstract

The minimum cross entropy (MCE) spectral analysis method is able to incorporate a prior information of spectra into the spectral analysis. Applying the principle of the MCE, the authors proposed a continuous spectral estimation method (C-MCEM) for stationary time series with a prior spectrum generated by AR models under the observation of the autocorrelation values. In this paper, combining the C-MCEM with the Burg algorithm (1975), we derive a new spectral estimation algorithm where the time series data as well as a prior spectrum are utilized. Applying the proposed method to sound data, we also show the spectral estimation results.

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What this paper is about

The minimum cross entropy (MCE) spectral analysis method is able to incorporate a prior information of spectra into the spectral analysis. Applying the principle of the MCE, the authors proposed a continuous spectral estimation method (C-MCEM) for stationary time series with a prior spectrum generated by AR models under the observation of the autocorrelation values. In this paper, combining the C-MCEM with the Burg algorithm (1975), we derive a new spectral estimation algorithm where the time series data as well as a prior spectrum are utilized. Applying the proposed method to sound data, we also show the spectral estimation results.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The minimum cross entropy (MCE) spectral analysis method is able to incorporate a prior information of spectra into the spectral analysis. Applying the principle of the MCE, the authors proposed a continuous spectral estimation method (C-MCEM) for stationary time series with a prior spectrum generated by AR models under the observation of the autocorrelation values. In this paper, combining the C-MCEM with the Burg algorithm (1975), we derive a new spectral estimation algorithm where the time series data as well as a prior spectrum are utilized. Applying the proposed method to sound data, we also show the spectral estimation results.

Key concepts: Maximum entropy spectral estimation, Autocorrelation, Spectral density estimation, Algorithm, Spectral analysis, Entropy (arrow of time), Series (stratigraphy), Computer science

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