Re: Nyquist Sampling
- From: DSPGURU <kruptan@xxxxxxxxx>
- Date: Sat, 12 Jan 2008 15:00:15 -0800 (PST)
On Jan 12, 3:44 pm, "RF" <nos...@xxxxxxxxxx> wrote:
I'd like to ask a couple very basic questions. Being hands-on rather than
mathematically-focused I'm trying to visualize sampling in a project I'm
planning to start.
1. By sampling say a 3.1 kHz band-limited voice channel at the Nyquist rate
am I guaranteed to capture *all* the information in the channel? Is nothing
lost (ignoring ADC resolution)? More to the point: To know what the
original analog did between sample points can I simply interpolate
post-sampling and be able to see *everything* that I could see by looking at
the original analog, limited only by ADC resolution?
2. Is the following a valid way to envision how Nyquist sampling captures
all information in an analog waveform: a) we know that the waveform is
completely represented by its Fourier expansion, b) we know the highest term
in the expansion since the channel is band-limited, and c) every component
is sinusoidal and therefore predictable if defined by two sample points per
period.
Thanks for help with this simple question.
RF -
Pretty close.
1] 3.1 Khz voice is not to be truly bandlimited, so a little is lost.
Can be made not important.
2] Precise 2 point per period will not define sinus or cosinus. Takes
just a little more.
Regards,
Kamar Ruptan
Dsp Guru
.
- References:
- Nyquist Sampling
- From: RF
- Nyquist Sampling
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