Question
What is an efficient way to calculate the FFT of a signal at specific frequency points in Signal Processing Toolbox 6.12 (R2009b) ? Normally, the FFT function returns the frequency response of a signal at regularly spaced frequency points given by the equation: f = kFs/N where k is given by the vector [0:N-1] N is the length of the input signal vector Fs is the sampling frequency However, I am only interested in specific frequency points. Is there an efficient way of calculating the frequency response of a signal at irregularly spaced frequency points?
Expert Answer
John Michell
PhD Expert
Answered Aug 25, 2026
In Signal Processing Toolbox 6.12 (R2009b), the GOERTZEL function is an efficient way of calculating the frequency response of a signal at specific frequency points.
This function uses the second-order Goertzel algorithm which computes DFT values at a specified subset of indices. If less than log2(N) points are required, GOERTZEL is more efficient than the Fast Fourier Transform (FFT).
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