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Fourier demixing filter based on statistical independence between signals

Fourier demixing filter based on statistical independence between signals

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A new filter based on the statistical independence between signals is presented. The original signal is estimated by the weighted sum of each harmonic of the observation corrupted by noise. The filter is synthesised by adjusting the weighting parameters by learning with the use of higher order moments of observation noise without any information about the dynamics of a target system.

References

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      • R.E. Kalman . New results in linear filtering and prediction theory. Trans. ASME(D), J. Basic Eng. , 95 - 108
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      • N. Wiener . (1949) Extrapolation, interpolation and smoothing of stationary time series.
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