1982IEEE Transactions on Acoustics Speech and Signal ProcessingRequires access

Properties of two-dimensional maximum entropy power spectrum estimates

N. Malik, Jae S. Lim

Open publisher page 21 citations

Abstract

In this paper we present the results of a number of experiments that have been performed to study the properties of two-dimensional maximum entropy spectral estimates. The results presented include studies on the resolution differences for real and complex data, resolution properties of the spectral estimates, and the determination of the relative power of the sinusoids from the spectral estimates. The results also include the effects of signal-to-noise ratio, size and shape of the known autocorrelation region, and data length and initial phase of a sinusoid, on the spectral estimates. In most cases studied, the properties of two-dimensional maximum entropy spectral estimates can be viewed as simple extensions of their one-dimensional counterparts.

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What this paper is about

In this paper we present the results of a number of experiments that have been performed to study the properties of two-dimensional maximum entropy spectral estimates. The results presented include studies on the resolution differences for real and complex data, resolution properties of the spectral estimates, and the determination of the relative power of the sinusoids from the spectral estimates. The results also include the effects of signal-to-noise ratio, size and shape of the known autocorrelation region, and data length and initial phase of a sinusoid, on the spectral estimates. In most cases studied, the properties of two-dimensional maximum entropy spectral estimates can be viewed as simple extensions of their one-dimensional counterparts.

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Available abstract

In this paper we present the results of a number of experiments that have been performed to study the properties of two-dimensional maximum entropy spectral estimates. The results presented include studies on the resolution differences for real and complex data, resolution properties of the spectral estimates, and the determination of the relative power of the sinusoids from the spectral estimates. The results also include the effects of signal-to-noise ratio, size and shape of the known autocorrelation region, and data length and initial phase of a sinusoid, on the spectral estimates. In most cases studied, the properties of two-dimensional maximum entropy spectral estimates can be viewed as simple extensions of their one-dimensional counterparts.

Key concepts: Maximum entropy spectral estimation, Autocorrelation, Spectral density, Principle of maximum entropy, Mathematics, Statistical physics, Entropy (arrow of time), Maximum entropy method

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