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The Goertzel Algorithm

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Digital Signal Processing

Part of the book series: Signals and Communication Technology ((SCT))

Abstract

We have seen that the FFT allows one to calculate the DFT of an N-term sequence in O(N ln(N)) steps. As calculating a single element of the DFT requires O(N) steps, it is clear that when one does not need too many elements of the DFT, one is best off calculating individual elements, and not the entire sequence. In this chapter, we present a simple algorithm—the Goertzel algorithm—for calculating individual elements of the DFT.

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© 2008 Springer-Verlag London Limited

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(2008). The Goertzel Algorithm. In: Digital Signal Processing. Signals and Communication Technology. Springer, London. https://doi.org/10.1007/978-1-84800-119-0_30

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  • DOI: https://doi.org/10.1007/978-1-84800-119-0_30

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-118-3

  • Online ISBN: 978-1-84800-119-0

  • eBook Packages: EngineeringEngineering (R0)

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