📄 frq2mel.m
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function mel = frq2mel(frq)
%FRQ2ERB Convert Hertz to Mel frequency scale MEL=(FRQ)
% mel = frq2mel(frq) converts a vector of frequencies (in Hz)
% to the corresponding values on the Mel scale which corresponds
% to the perceived pitch of a tone
% The relationship between mel and frq is given by:
%
% m = ln(1 + f/700) * 1000 / ln(1+1000/700)
%
% This means that m(1000) = 1000
%
% References:
%
% [1] S. S. Stevens & J. Volkman "The relation of pitch to
% frequency", American J of Psychology, V 53, p329 1940
% [2] C. G. M. Fant, "Acoustic description & classification
% of phonetic units", Ericsson Tchnics, No 1 1959
% (reprinted in "Speech Sounds & Features", MIT Press 1973)
% [3] S. B. Davis & P. Mermelstein, "Comparison of parametric
% representations for monosyllabic word recognition in
% continuously spoken sentences", IEEE ASSP, V 28,
% pp 357-366 Aug 1980
% [4] J. R. Deller Jr, J. G. Proakis, J. H. L. Hansen,
% "Discrete-Time Processing of Speech Signals", p380,
% Macmillan 1993
% [5] HTK Reference Manual p73
%
% Copyright (C) Mike Brookes 1998
% Version: $Id: frq2mel.m,v 1.3 2005/02/21 15:22:12 dmb Exp $
%
% VOICEBOX is a MATLAB toolbox for speech processing.
% Home page: http://www.ee.ic.ac.uk/hp/staff/dmb/voicebox/voicebox.html
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You can obtain a copy of the GNU General Public License from
% ftp://prep.ai.mit.edu/pub/gnu/COPYING-2.0 or by writing to
% Free Software Foundation, Inc.,675 Mass Ave, Cambridge, MA 02139, USA.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
mel = log(1+frq/700)*1127.01048;
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