From: Larry Miller ([email protected])
Date: Wed Apr 04 2001 - 06:57:51 PDT
Mike,
"On a scope screen, one probably could
not distinguish a perfect sawtooth from a waveform comprised
of the first, say, five Fourier components."
Yeah, you could. You need at least 10-11 harmonics to be able to turn the
sharp corners. Even then the distortion for, say, audio frequencies where
all of the harmonics are within the range of human hearing, is plainly
audible. Listen to the "sine wave" output of a function generator.
I believe that this is one reason why the "golden ears" guys say they can
hear the difference between a CD and an analog recording.
Larry Miller
-----Original Message-----
From: Mike Jenkins [mailto:[email protected]]
Sent: Tuesday, April 03, 2001 12:54 PM
To: [email protected]
Subject: Re: [SI-LIST] : Nyquist Sampling Rate
Thomas Jackson wrote:
>
> Adam,
>
> There are an infinite number of periodic, band-limited signals; they just
> don't have discontinuities like square, trapezoid, sawtooth, etc. do. In
> other words, you can't get them directly out of a function generator.
>
> Tom
However, with a band-limited signal, you can get ARBITRARILY
CLOSE approximations. On a scope screen, one probably could
not distinguish a perfect sawtooth from a waveform comprised
of the first, say, five Fourier components.
Regards,
Mike
>
> -----Original Message-----
> From: AA [mailto:[email protected]]
> Sent: Monday, April 02, 2001 4:24 PM
> To: Ken Cantrell; Thomas Jackson; [email protected]
> Subject: RE: [SI-LIST] : Nyquist Sampling Rate
>
> Thanks all for responding to my inquiry on the Nyquest
> sampling rate. I guess the important take away is that
> this sampling theory applies only to a true sine
> waveform signal not "Periodic Signals" as I mentioned
> in my first mail. I always remembered Fourier series
> form my freshman year but did not establish the mental
> correlation between "periodic" and "band limited".
>
> I appreciate all you input.
> Adam
>
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