In Reply to: No, no, no posted by Silver Eared John on November 15, 2005 at 15:54:32:
I am aware that 22.05Khz will be filtered out by the antialiasing filter and will not occur in the actual sample set...it is just a useful thought tool for coming up with the worst case scenario. I guess there is some contention whether a frequency of exactly 22.05 violates the nyquist criteria - and it doesn't for every phase of that frequency except where the two samples align with the zero crossings and the alias frequency is 0 Hz with no amplitude. So in essence you can really only keep frequencies <, rather than <= ... and this is all in the theoretical sense. For practical purposes you will be filtering well below this frequency.It should be noted that the phase resolution for a 20Khz will be almost as bad (in the uS) as the 22.05 for a signal that peaks at just the LSB since the phase resolution is dependent on frequency _and_ how many bits you have available to represent them. The graph shows the 1 degree phase resolution at about half scale, but this resolution is _diminished_ as the level goes down and extremely poor when the level is down to the LSB.
Actually, the more I think about it - I am not sure you can actually even represent said 20 Khz sine wave with 1 bit of amplitude. You need a minimum of three samples to define the wave and there is no "wiggle room" at 1 bit to produce the correct relative sample heights you need to define the wave.
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Follow Ups
- Re: No, no, no - macaque 14:17:55 11/16/05 (31)
- Y'all missing something important there. - Silver Eared John 15:45:24 11/16/05 (30)
- Re: Y'all missing something important there. - macaque 17:23:49 11/16/05 (29)
- Why not just listen, then look… - jcox 20:16:20 11/18/05 (0)
- No, there isn't. - Silver Eared John 18:52:24 11/16/05 (27)
- Re: No, there isn't. - macaque 05:17:23 11/17/05 (26)
- Re: No, there isn't. - Todd Krieger 20:33:06 11/17/05 (23)
- Oh, more mythology - Silver Eared John 22:42:19 11/17/05 (22)
- Oh Really?? - Todd Krieger 01:50:32 11/18/05 (21)
- You're full of it. - Silver Eared John 13:59:04 11/18/05 (0)
- Re: Oh Really?? - macaque 06:58:07 11/18/05 (19)
- Noise? - Silver Eared John 14:00:09 11/18/05 (11)
- Re: Noise? - macaque 14:57:55 11/18/05 (10)
- Indeed. - Silver Eared John 16:14:12 11/18/05 (9)
- Re: Indeed. - macaque 17:40:26 11/18/05 (8)
- Re: Indeed. - Todd Krieger 23:21:00 11/18/05 (7)
- Re: Indeed. - Links to PDFs - macaque 07:14:25 11/19/05 (3)
- Outstanding! Thanks. (nt) - andy_c 13:13:59 11/20/05 (0)
- Links to PDFs - Thanks..... - Todd Krieger 21:41:32 11/19/05 (1)
- Re: Links to PDFs - Thanks..... - macaque 09:19:26 11/21/05 (0)
- Goodness, gracious, and you're talking like an expert? - Silver Eared John 01:20:10 11/19/05 (2)
- Re: Goodness, gracious, and you're talking like an expert? - macaque 07:48:24 11/19/05 (1)
- Well, there are some issues, I'm sure. - Silver Eared John 10:42:34 11/19/05 (0)
- Re: Oh Really?? - Todd Krieger 09:56:19 11/18/05 (6)
- Re: Oh Really?? - macaque 10:50:34 11/18/05 (5)
- Bit depth vs.analog stuff - Silver Eared John 11:50:06 11/22/05 (3)
- Re: Bit depth vs.analog stuff - john curl 10:38:20 11/24/05 (2)
- Bull pucky, plain and simple. - Silver Eared John 11:15:44 11/25/05 (1)
- Re: Bull pucky, plain and simple. - john curl 11:26:08 11/25/05 (0)
- I Think You Got It.... - Todd Krieger 22:55:44 11/18/05 (0)
- Re: No, there isn't. - Silver Eared John 16:16:55 11/17/05 (0)
- Testing capability of extyracting correlated info from noise - Jacques 07:04:16 11/17/05 (0)