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Journal ArticleDOI

Spectral Moment Estimates from Correlated Pulse Pairs

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TLDR
In this article, the first two power spectrum moments from the pulse pair covariance are analyzed and the mean frequency estimation from interlaced pulse pairs is compared to provide a continuum of statistics from equispaced tightly correlated to statistically independent pulse pairs.
Abstract
Estimates statistics of the first two power spectrum moments from the pulse pair covariance are analyzed. The input signal is assumed to be colored Gaussian and the noise, white Gaussian. Perturbation formulas for the standard deviation of both mean frequency and spectrum width are applied to a Gaussian shaped power spectrum, and so is a perturbation formula for the bias in the width estimate. Mean frequency estimation from interlaced pulse pairs is presented. Throughout this study, estimators from independent, spaced, and contiguous pulse pairs are compared to provide a continuum of statistics from equispaced tightly correlated to statistically independent pulse pairs.

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Citations
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Performance of a broad-band acoustic Doppler current profiler

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References
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Journal ArticleDOI

A covariance approach to spectral moment estimation

TL;DR: It is shown that the leading term in the variance computations is identical with the Cramer-Rao lower bound calculated using the Fisher information matrix.
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Simulation of Weatherlike Doppler Spectra and Signals

TL;DR: In this article, a versatile algorithm to generate weather-like spectra of any desired shape is described, and applications are briefly discussed, and a variety of weather-related applications are discussed.
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A Semicoherent Detection and Doppler Estimation Statistic

TL;DR: In this article, a uniform train of M coherent short pulses transmitted by a radar and received with a Doppler shift is considered, where the mth sample of the return at the video is represented by the complex process Zm.
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Methods for the measurement of vertical ionospheric motions near the magnetic equator by incoherent scattering

TL;DR: Vertical ionospheric motions near magnetic equator measured by Doppler shifts of incoherent scatter frequency spectra were measured by doppler shift of coherent spectrum spectra.
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Numerical Comparison of Five Mean Frequency Estimators

TL;DR: In this article, five techniques of estimating power spectrum mean frequency are examined: fast Fourier transform, covariance argument approximation, vector phase change, scalar phase change and time derivative form of covariance.