Goertzel

Using goertzel confuses me

Using goertzel confuses me
  1. Why Goertzel algorithm is used?
  2. How does the Goertzel algorithm work?

Why Goertzel algorithm is used?

The Goertzel algorithm is typically used for frequency detection in the telephone tone dialing (dual-tone multi-frequency, DTMF), where the meaning of the signaling is determined by two out of a total of eight frequencies being simultaneously present [5].

How does the Goertzel algorithm work?

Like the DFT, the Goertzel algorithm analyses one selectable frequency component from a discrete signal. Unlike direct DFT calculations, the Goertzel algorithm applies a single real-valued coefficient at each iteration, using real-valued arithmetic for real-valued input sequences.

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