A spectral estimation algorithm based on minimum cross entropy method
Takeshi Wada, K. Nakamuro, S. Sugimoto
Abstract
Takeshi Wada, K. Nakamuro, S. Sugimoto
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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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