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Nonuniform Sampling of Audio Signals

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The theory of complete waveform reconstruction from regularly spaced samples of a band-limited signal is well known. A method of signal reconstruction from a set of nonuniformly spaced samples of an analog signal is presented. The algorithm is limited to the case where the nonuniformity of the sampling sequence consists of regularly spaced missing or arbitrary samples. In the limit it can be shown that a signal can be completely reconstructed ifthe highest frequency present in the input signal is less than one-half the average sampling rate of the sampling sequence.

JAES Volume 40 Issue 11 pp. 886-894; November 1992
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AES - Audio Engineering Society