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Exact reconstruction of samples of signal from samples of its integral

Exact reconstruction of samples of signal from samples of its integral

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An explicit formula is derived for reconstructing samples of a bandlimited function based on samples of the integral of the function over a short time interval. This may have applications in instrumentation sensors such as scanning interferometers in which the sample is an integral accumulation over a given input.

Inspec keywords: signal sampling; bandlimited signals; signal reconstruction; signal processing equipment

Other keywords: integral accumulation; short time interval; explicit formula; bandlimited function sample reconstruction; exact sample reconstruction; instrumentation sensors; scanning interferometers; integral samples

Subjects: Mathematical analysis; Signal processing and conditioning equipment and techniques; Signal processing and detection

References

    1. 1)
      • A. Papoulis . (1997) Signal analysis.
http://iet.metastore.ingenta.com/content/journals/10.1049/el_20000772
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