Modified frequency domain kurtosis for signal processing

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Modified frequency domain kurtosis for signal processing

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An operator sensitive to signal probability distribution is obtained, by integrating ideas from higher-order statistics and a frequency approach to signal processing. This function, based on a modified frequency domain kurtosis, assigns a level of stationarity to each signal spectrum component and enhances unsteady components over stationary sinusoids embedded in noise.

Inspec keywords: discrete time systems; filtering and prediction theory; signal processing; probability; spectral analysis; frequency-domain analysis

Other keywords: discrete time model; signal probability distribution; signal spectrum component; stationarity; modified frequency domain kurtosis; higher order spectral anlysis; FDK filtering; higher-order statistics; signal processing; unsteady component enhancement

Subjects: Mathematical analysis; Other topics in statistics; Signal processing and detection; Mathematical analysis; Other topics in statistics; Information theory

References

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      • R.F. Dwyer . Asymptotic detection performance of discrete power and higher-order spectraestimates. IEEE J. Oceanic Eng. , 3 , 303 - 315
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      • A. Papoulis . (1965) Probability, random variables, and stochastic processes.
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      • C.L. Nikias , J.M. Mendel . Signal processing with higher-order spectra. IEEE Signal Processing Mag. , 10 - 37
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