Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!mnetor!uunet!husc6!hao!noao!mcdsun!nud!anasazi!tower!john From: john@tower.UUCP (John Moore) Newsgroups: sci.electronics Subject: Re: FM audio recording? Message-ID: <91@tower.UUCP> Date: Fri, 25-Sep-87 10:29:58 EDT Article-I.D.: tower.91 Posted: Fri Sep 25 10:29:58 1987 Date-Received: Sun, 27-Sep-87 02:00:03 EDT References: <3746d52b.b8ab@apollo.uucp> <231@piglet.UUCP> <1574@dicome.UUCP> <235@piglet.UUCP> <1588@dicome.UUCP> Reply-To: john@tower.UUCP (John Moore) Organization: Anasazi Inc, Phoenix AZ Lines: 43 In article <1588@dicome.UUCP> plate@dicome.UUCP (Douglas B. Plate) writes: >Newsgroups: sci.electronics >Subject: Re: FM audio recording? >Summary: >Expires: >References: <3746d52b.b8ab@apollo.uucp> <231@piglet.UUCP> <1574@dicome.UUCP> <235@piglet.UUCP> >Sender: >Reply-To: plate@dicome.UUCP (Douglas B. Plate) >Followup-To: >Distribution: >Organization: DICOMED Corp., Minneapolis >Keywords: > >In article <235@piglet.UUCP> sjb@piglet.UUCP (Seth J. Bradley) writes: >)In article <1574@dicome.UUCP), plate@dicome.UUCP (Douglas B. Plate) writes: >)) In article <231@piglet.UUCP> sjb@piglet.UUCP (Seth J. Bradley) writes: >)) )ungodly bandwidth FM requires. 15KHz stereo broadcasts use about Since the discussion is on bandwidth, let me point out that FM bandwidth (especially wideband FM such as commercial broadcasting) is not simply the sum of the audio frequencies present, or even just the highest frequency present. Rather, it is a complex set of bessel functions. For a single tone, one gets an infinite series of sideband terms, the amplitude of the Nth sideband equal to the Nth bessel function of a relationship between the peak frequency deviation and the frequency of the tone (sorry I'm being vague, but in a hurry and don't have time to look up the exact formula). For more than one tone, one gets multiple series based on cross products of all the components, yielding a large number of sidebands (more than you would expect from any linear analysis). Thus, the "bandwidth" is infinite, but for practical reasons the bandwidth is defined by when the sidebands drop below a certain level relative to the carrier. Now, you might ask, why the 200Khz deviation? Well, it turns out that in a noisy environment, the recovered signal is less noisy for wider bandwidths. FM could have used a smaller bandwidth, and transmit the data with the same fidelity, with the exception of signal-to-noise ration. For further reference on this, look at the Radio Engineers Handbook. John Moore Anasazi, Inc Somewhere in Phoenix, AZ