Adapt fft to goertzel algorithm

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DZ
DZ on 28 Aug 2021
What Im trying to do is using FFT and Goertzel algorithms to find the phase difference between two sin signals. I believe that my code run just fine with FFT. It can output the correct phase difference value, but the Goertzel algorithm cannot output the expected result. From what I understand, the difference between Goertzel algorithm and FFTis that the Goertzel algorithm has a region of interest. I don't know why when I am doing the Goertzel algorithm, it only has one value for each sin function. The result screenshot and code are shown below.
clear;
clc;
f = 10000;
p = 1 * pi;
t = linspace(0, 10*pi, 100000);
s = [sin(2*pi*f*t); sin(2*pi*f*t + p)]'; %Setup signal
Ts = mean(diff(t));
Fs = 1/Ts;
Fn = Fs/2;
% fts = fft(s)/length(t); % Do transform
indxs = find(f>=9500 & f<=10500);
fts = goertzel(s, indxs);
Fv = linspace(0, 1, fix(length(t)/2)+1)*Fn;
Iv = 1:length(Fv);
[pk,ix] = max(abs(fts(Iv,:)));
phsmin = [min(angle(fts(ix(1),:))); max(angle(fts(ix(2),:)))];
phsdif = diff(phsmin); % Calculate Phase Difference
PhaseDiff = sprintf('Phase difference = %.3f rad', phsdif)

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R2020a

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