# How to downsample a signal

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Abdelhakim Souidi on 21 Jun 2022
Commented: Paul on 22 Jun 2022
I have read an audio signal .wav with a Sampling frequency fs = 44100
[N,P]=size(y);
ts=1/Fs;
tmax=(N-1)*ts;
t=0:ts:tmax;
I am interested to study the frequencies under 8000 of this signal with the function downsampling ()
so, How can I do it
Paul on 22 Jun 2022
Responding to is resample and downsample function are the same in this comment
Basic concepts:
downsample - In the basic case, equivalent to indexing with an integer step
x = rand(1,20);
N = 3;
isequal(x(1:N:end),downsample(x,N))
ans = logical
1
decimate - Applies a low pass filter to x to avoid aliasing before downsampling
upsample - Inserts zeros between elements of the input array
interp - Applies a filter after upsampling x
resample - When applied to uniformly spaced data, modifies the sampling rate by a rational multilple p/q. Filtering is involved. Don't know if resample and decimate (or interp) can be made to yield the same result with appropriate selection of input arguments.

Star Strider on 21 Jun 2022
Any resampling is not necessary. Just use the lowpass function to filter out everything above 8 kHz. (Use 'ImpulseResponse','iir' for the best results.)
Star Strider on 22 Jun 2022
My pleasure.
Apparently not, at least as far as I can tell.
Using the type function reveals that the two appear to be entirely independent. I thought that downsample might call resample, however it does not appear to do so:
type downsample.m
q = which('resample.m', '-all')
type(q{1})
I will leave that for you to do rather than displaying it here (although it does work here) since the code is copyrighted and should not be displayed on an open access site. (Be certain that the appropriate element of ‘q’ is the Signal Processing Toolbox version of resample so that you can see the correct function, since there are several different — I count 8 in the online documentation — resample functions.)
.

R2022a

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