frequency to mel formula ("James W. Beauchamp" )


Subject: frequency to mel formula
From:    "James W. Beauchamp"  <jwbeauch@xxxxxxxx>
Date:    Wed, 15 Jul 2009 13:11:27 -0500
List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>

Dear List, On the Wikipedia page http://en.wikipedia.org/wiki/Mel_frequency_scale a formula for computing frequency in terms of mels is given as: mel = log(1 + fr/700)*1127 . It is easily inverted to fr = 700*exp(mel/1127 - 1) . My question is: Where do these formulas come from? I.e., I need a journal reference for these formulas. Thanks much, Jim Beauchamp Univ. of Illinois at Urbana-Champaign


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