# goertzel

Version:

Computes the Goertzel transform. goertzel returns the discrete Fourier transform for a specified list of frequency bins. goertzel computes the discrete Fourier transform without using the FFT. If the list of specified frequency bins in b is large, the algorithm performs much slower than the FFT.

## Syntax

c = goertzel(a)
c = goertzel(a, b)
c = goertzel(a, b, d)
c = goertzel(a, [], d)

## a

Vector or matrix.

## b

List of frequency bins. If b is not specified, a complete DFT is provided.

## d

Dimension of a in which MathScript performs the Goertzel transform. d is an integer.

## []

Tells MathScript that you want to specify a and d but not b.

## c

Goertzel transform of a. If a is a vector, c = goertzel(a) returns the original discrete Fourier transform (DFT). If a is a matrix, c = goertzel(a) returns the column-wise discrete Fourier transforms of all columns of a but only for all specified frequency bins. c is a vector or matrix.

A = [1, 2, 3, 4, 4, 3, 2, 1];
C = goertzel(A, 3)

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices