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Sampling Signals and Poisson’s Formula

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Fourier Analysis and Applications

Part of the book series: Texts in Applied Mathematics ((TAM,volume 30))

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Abstract

We are now going to tackle the problem of sampling analog signals. This operation is a prerequisite of digital signal processing. For example, an analog speech signal must be sampled before it can enter a digital telephone system. A sampler records the level of the signal every a seconds and transforms it into a sequence of impulses (Figure 37.1). An analog-to-digital converter (ADC) codes these impulses as numbers that can be processed digitally.

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© 1999 Springer Science+Business Media New York

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Gasquet, C., Witomski, P. (1999). Sampling Signals and Poisson’s Formula. In: Fourier Analysis and Applications. Texts in Applied Mathematics, vol 30. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1598-1_37

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  • DOI: https://doi.org/10.1007/978-1-4612-1598-1_37

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7211-3

  • Online ISBN: 978-1-4612-1598-1

  • eBook Packages: Springer Book Archive

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