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%--------------------------------------------------------------------------
% 4 second 1000Hz zero-padded band-limited square tone
% 1 sec silence + 2 sec tone + 1 sec silence
%
% Cooper Baker - 2014
%--------------------------------------------------------------------------

% clean up
close all;
clear;

% Initializations
%--------------------------------------------------------------------------
sampRate  = 44100;
freq      = 1000;
zeroSec   = 1;
toneSec   = 2;
harmonics = 10;
harmNum   = 1;
outFile   = 'square_ideal.wav';
toneSamps = toneSec * sampRate;
zeroSamps = zeroSec * sampRate;
tone      = zeros( 1, toneSamps );

% Synthesis
%--------------------------------------------------------------------------

% generate a vector to synthesize the waveform
toneVec  = [ 0 : 1 : toneSamps - 1 ];

% generate band-limited square wave
while harmNum <= ( harmonics * 2 )

    % synthesize harmonic
    harmonic = sin( 2 * pi * ( ( freq * harmNum ) / sampRate ) * toneVec ) / harmNum;

    % mix harmonic into tone vector
    tone = tone( 1 : toneSamps ) + harmonic( 1 : toneSamps );

    % increment harmonic number
    harmNum = harmNum + 2;
end

% generate silence
zero = zeros( 1, zeroSamps );

% concatenate waveform and silence into output vector
output = [ zero( 1, 1 : zeroSamps ), tone( 1, 1 : toneSamps ), zero( 1, 1 : zeroSamps ) ];

% normalize between -1 and 1
output = output( 1 : end ) / max ( abs ( output ) );

% Output
%--------------------------------------------------------------------------

% create comment string
commentString = sprintf( 'Frequency: %.0f\nWaveform: %s', freq, 'square' );

% write file to disk
audiowrite( outFile, output, sampRate, 'BitsPerSample', 32, 'Artist', 'NormCoeff', 'Title', num2str( 1 ), 'Comment', commentString );

% EOF