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*To*: AUDITORY@xxxxxxxxxxxxxxx*Subject*: Re: two sine tones simultaneously within one critical band*From*: Piotr Majdak <piotr.majdak@xxxxxxxxxx>*Date*: Fri, 7 Oct 2005 16:32:12 +0200*Delivery-date*: Fri Oct 7 10:35:54 2005*In-reply-to*: <4346358B.26340.3092B8@localhost>*References*: <4344E013.25651.2A1DEF@localhost> <4346358B.26340.3092B8@localhost>*Reply-to*: Piotr Majdak <piotr.majdak@xxxxxxxxxx>*Sender*: AUDITORY Research in Auditory Perception <AUDITORY@xxxxxxxxxxxxxxx>*User-agent*: Mozilla/5.0 (Windows; U; Windows NT 5.0; en-US; rv:1.7b) Gecko/20040421

Bob Masta wrote:

> I am completely at a loss to understand how you arrived > at your last formula. It appears that you have not simply > added the pressure waves, but multiplied them.

cos(2pi*t) * cos(100 * 2pi*t) = cos(99*2pi*t) + cos(101*2pi*t)

This can be derived using:

cos(x1)*cos(x2) = 1/2*cos(x1-x2) + 1/2*cos(x1+x2)

br, Piotr Majdak

-- Piotr Majdak Acoustic Research Institute Austrian Academy of Sciences Reichsratsstr. 17 A-1010 Wien Tel.: +43-1-4277-29511 Fax: +43-1-4277-9296 E-Mail: piotr@xxxxxxxxxx WWW: http://www.kfs.oeaw.ac.at

**References**:**Re: two sine tones simultaneously within one critical band***From:*Bob Masta

**Re: two sine tones simultaneously within one critical band***From:*Bob Masta

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