2001 | OriginalPaper | Buchkapitel
Applications to Error Correction Codes
verfasst von : F. Marvasti
Erschienen in: Nonuniform Sampling
Verlag: Springer US
Enthalten in: Professional Book Archive
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Sampling a band-limited signal above the Nyquist rate could be an alternative to error correction codes [1]–[2], and [33]–[34]. In fact we can show the equivalence of the sampling theorem and the fundamental theorem of information theory [1]. Essentially, over-sampling is equivalent to a convolutional code using fields of real numbers as opposed to finite Galois fields. The encoder is a simple interpolator (a low pass filter) as shown in Fig. 1.