Jeff: If the Fundamental is the First Harmonic, and should be written as F1 (and subsequent harmonics F2 and F3 being double and triple the Fundamental frequency), then F0, or the Zeroth Harmonic (being zero times the F1) is always zero Hz (aka DC).
That sounds mathematically consistent. However, I have seen, countless times, the use of F0 to represent the fundamental frequency of a signal. For instance, a frequency step from F0 to F0 + 1 MHz. Or as in a sweep from 20% below F0 to 20% above F0. Are we just looking at two different sides of the same elephant? Ed ------------------------ From: Jeff Chambers <[email protected]> Subject: Re: Harmonics Date: Fri, 23 Apr 1999 19:41:52 +0100 To: Gary McInturff <[email protected]>, "'[email protected]'" <[email protected]>, Robert Macy <[email protected]>, Scott Douglas <[email protected]> Cc: [email protected] > I don't think anybody's said this yet. Fo is used to signify the dc > component of the waveform. If a square wave switches from 0 to 5V, with a > 50% duty cycle, Fo = 2.5V. F1 is the fundamental (1GHz in your example), F2 > the second harmonic etc. The term 'first harmonic' is really a bit > confusing, and 'the fundamental' is better. > > Jeff Chambers > > ------------------------------------------------------------- > Dr Jeff Chambers > Westbay Technology Ltd > Suppliers of EMC Design Software > Tel: +44 1229 869 108 > Fax: +44 1229 869 108 > http://www.emcnet.com/westbay > [email protected] > > Main St > Baycliff > Ulverston > Cumbria LA12 9RN > England > ------------------------------------------------------------- > -----Original Message----- > From: Gary McInturff <[email protected]> > To: '[email protected]' <[email protected]>; Robert Macy > <[email protected]>; Scott Douglas <[email protected]> > Cc: [email protected] <[email protected]> > Date: 23 April 1999 18:07 > Subject: RE: Harmonics > > > >Jeeez, if we follow the convention of the harmonic being the being written > >as FX (and the fundamental F0) where the subscript is some integer which > >represents an harmonic and we include 0 as an integer, which is an integer > >by definition, then the fundamental or F0 is Fundamental times 0 or O > >Hertz, for all frequencies. The first harmonic must then be what we > >traditionally call the fundamental. The first harmonic, F1 then is the > >Fundamental times 1 and both the fundamental and the first harmonic are the > >same. > > By way of example. I choose 1 GHz (because it gives me heartburn in > >my equipment) > > The fundamental F0 = 1 Ghz times 0 = 0 Ghz. > > The first harmonic F1 = 1 Ghz times 1 = 1 Ghz > > Life sort of gets back to normal as we hit the second fundamental, > >but again that depends on which side of the argument which started all of > >this, you believe. > > The second harmonic F2 = 1 Ghz times 2 = 2 Ghz. Ad infinitum > >and ad nausium. > > > > Take care (but don't write back I will be off playing golf in > >California for the next week yea wooooo!) > > Gary > > > > > ---------------End of Original Message----------------- -------------------------- Ed Price [email protected] Electromagnetic Compatibility Lab Cubic Defense Systems San Diego, CA. USA 619-505-2780 List-Post: [email protected] Date: 04/23/1999 Time: 12:51:20 Military & Avionics EMC Services Our Specialty Also Environmental / Metrology / Reliability -------------------------- --------- This message is coming from the emc-pstc discussion list. To cancel your subscription, send mail to [email protected] with the single line: "unsubscribe emc-pstc" (without the quotes). For help, send mail to [email protected], [email protected], [email protected], or [email protected] (the list administrators).
