38 lines
1.5 KiB
Matlab
38 lines
1.5 KiB
Matlab
function x = generate_oboe(amplitude, frequency, phase, fs, duration, duty)
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% GENERATE_OBOE: returns a matrix of sampled waveform similar to
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% an oboe.
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% CONTRIBUTORS:
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% Brandon Roberts: Original author
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% MuseScore: Reference source for overtone information
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% DOCUMENTATION:
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% phase shift is in number of periods
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% fs is the sampling frequency: how many sample points per second
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% duration is time in seconds
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% duty does not apply for instruments
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% setup needed variables
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n = fs * duration; % total data points
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dt = 1 / fs; % space between samples
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% initialize template time scale
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t = [1:n].*dt - phase;
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f = frequency .* (1 + 0.0001 .* sin(10.*pi.*t)./t); %frequency vibrato
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% generate proper fundamental and overtones
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x = (0.274577037.*amplitude .* sin(2.*pi.*f.*t)) ... %fundamental (first partial)
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+ (0.612336031.*amplitude .* sin(4.*pi.*f.*t)) ... %second partial
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+ (amplitude .* sin(6.*pi.*f.*t)) ... %third partial
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+ (0.105870314.*amplitude .* sin(8.*pi.*f.*t)) ... %fourth partial
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+ (0.00825325944.*amplitude .* sin(10.*pi.*f.*t)) ... %fifth partial
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+ (0.0767380354.*amplitude .* sin(12.*pi.*f.*t)) ... %sixth partial
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+ (0.0381430831.*amplitude .* sin(14.*pi.*f.*t)) ... %seventh partial
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+ (0.010765121.*amplitude .* sin(16.*pi.*f.*t)) ... %eighth partial
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+ (0.0024454102.*amplitude .* sin(18.*pi.*f.*t)) ... %ninth partial
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+ (0.00963544782.*amplitude .* sin(20.*pi.*f.*t)); %tenth partial
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x = x .* (1 + 0.1 .* sin(10.*pi.*t)); %volume vibrato
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end
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