Chris' Page on Aliasing using MatLab: Difference between revisions

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Below is a spectrogram of a quadratic sweep from 20 Hertz to 20,000 Hertz using a 441000 Hertz sample rate.
Below is a spectrogram of a quadratic sweep from 20 Hertz to 20,000 Hertz using a 441000 Hertz sample rate.
Currently the Y-Axis frequency scale is wrong, the max should be 20,000.



[[Image:Chirp41000.jpg]]
[[Image:Chirp41000b.jpg]]

[[Media:44100hz.ogg]]




This one is the same script and parameters except the sample rate has been changed to 8000 Hertz.
This one is the same script and parameters except the sample rate has been changed to 8000 Hertz.
[[Image:Chirp8000.jpg]]


[[Image:Chirp8000b.jpg]]
'''Matlab Program'''


[[Media:8000hz.ogg]]
% Chris Rasmussen


% Matlab assignment


'''Matlab Program'''
% Show Nyquist stuff


<pre>
% Chris Rasmussen
% Based on Matlab examples
% Show aliasing


clc
clc

%****************%
%****************%

% Parameters
% Parameters

duration = 8
duration = 8

fmax = 20000
fmax = 20000

fmin = 20
fmin = 20

samplerate = 8000
samplerate = 8000

%****************%
%****************%



%****************%
%****************%
Line 43: Line 39:
% Will still work if this is removed, you just won't hear anything
% Will still work if this is removed, you just won't hear anything
% It works with my onboard soundcard with Vista.
% It works with my onboard soundcard with Vista.

AO = analogoutput('winsound');
AO = analogoutput('winsound');

chan = addchannel(AO,1);
chan = addchannel(AO,1);

set(AO,'SampleRate',samplerate);
set(AO,'SampleRate',samplerate);

set(AO,'TriggerType','Manual');
set(AO,'TriggerType','Manual');

ActualRate = get(AO,'SampleRate')
ActualRate = get(AO,'SampleRate')

%****************%
%****************%



%****************%
%****************%

% Setup arrays
% Setup arrays

totalsamples = ActualRate*duration;
totalsamples = ActualRate*duration;

t = 0:1./ActualRate:duration;
t = 0:1./ActualRate:duration;

y= 0.2 .* chirp(t,fmin,duration, fmax,'q',[],'concave');
y= 0.2 .* chirp(t,fmin,duration, fmax,'q',[],'concave');

%****************%
%****************%



%****************%
%****************%

% Write data to soundcard and play
% Write data to soundcard and play

% Will still work if this is removed, you just won't hear anything
% Will still work if this is removed, you just won't hear anything

putdata(AO,y')
putdata(AO,y')

start(AO)
start(AO)

trigger(AO)
trigger(AO)

waittilstop(AO,duration+1)
waittilstop(AO,duration+1)

%****************%
%****************%



%****************%
%****************%

% Plot raw data
% Plot raw data

figure(1)
figure(1)

plot(y)
plot(y)

title('Waveform')
title('Waveform')

%****************%
%****************%



%****************%
%****************%

% Plot spectragram (uses FFT)
% Plot spectragram (uses FFT)

figure(3), specgram(y, 256, samplerate);
figure(3), specgram(y, 256, samplerate);

title('Quadratic Sine Sweep')
title('Quadratic Sine Sweep')

set(gcf,'Color',[1 1 1]);
set(gcf,'Color',[1 1 1]);

%****************%
%****************%


Line 115: Line 79:


%****************%
%****************%

% Picking up the messes
% Picking up the messes

delete(AO)
delete(AO)

clear AO
clear AO

clear all
clear all
</pre>

Latest revision as of 10:53, 12 November 2007

Demo of Aliasing Using Matlab

Frequencies above half the sample rate will produce aliasing. This should appear as a lower frequency signal.


Below is a spectrogram of a quadratic sweep from 20 Hertz to 20,000 Hertz using a 441000 Hertz sample rate.


Chirp41000b.jpg

Media:44100hz.ogg


This one is the same script and parameters except the sample rate has been changed to 8000 Hertz.

Chirp8000b.jpg

Media:8000hz.ogg


Matlab Program

% Chris Rasmussen
% Based on Matlab examples
% Show aliasing

clc
%****************%
% Parameters
duration = 8
fmax = 20000
fmin = 20
samplerate = 8000
%****************%

%****************%
% Setup Soundcard 
% Will still work if this is removed, you just won't hear anything
% It works with my onboard soundcard with Vista.
AO = analogoutput('winsound');
chan = addchannel(AO,1);
set(AO,'SampleRate',samplerate);
set(AO,'TriggerType','Manual');
ActualRate = get(AO,'SampleRate')
%****************%

%****************%
% Setup arrays
totalsamples = ActualRate*duration;
t = 0:1./ActualRate:duration; 
y= 0.2 .* chirp(t,fmin,duration, fmax,'q',[],'concave');
%****************%

%****************%
% Write data to soundcard and play
% Will still work if this is removed, you just won't hear anything
putdata(AO,y')
start(AO)
trigger(AO)
waittilstop(AO,duration+1)
%****************%

%****************%
% Plot raw data
figure(1)
plot(y)
title('Waveform')
%****************%

%****************%
% Plot spectragram (uses FFT)
figure(3), specgram(y, 256, samplerate);
title('Quadratic Sine Sweep')
set(gcf,'Color',[1 1 1]);
%****************%

wavwrite(y,samplerate,16,'File.wav')

%****************%
% Picking up the messes
delete(AO)
clear AO
clear all