Interpolation and extrapolation in nonuniform sampling sequences with average sampling rates below the Nyquist rate

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Interpolation and extrapolation in nonuniform sampling sequences with average sampling rates below the Nyquist rate

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Coefficients for interpolation and extrapolation, including average sampling rates below the Nyquist rate, have been derived. The method is applicable for nonuniform patterns obtained through omission of samples in a uniform pattern with a sampling rate slightly higher than the Nyquist rate. The interpolations and extrapolations are valid for band-limited signals, except those theoretical signals that are zero valued at all sampling points.

Inspec keywords: extrapolation; signal detection; interpolation; sampled data systems

Other keywords: average sampling rates; interpolation; Nyquist rate; nonuniform patterns; nonuniform sampling sequences; uniform pattern; extrapolation; band limited signals

Subjects: Information theory; Signal processing and detection

References

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