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On Wed, 25 Mar 2009 11:11:48 -0700, "Joel Koltner"
wrote: Hi Richard, "Richard Clark" wrote in message .. . In other posts related to deep space probe's abilities to recover data from beneath the noise floor, much less cell phones to operate in a sea of congestion, I encountered the economic objection that such methods cost too much - expense of bandwidth. I don't think anyone stated they cost "too much," just that there is a cost in increased bandwidth, and bandwidth isn't free. Um, this last statement seems to be hedging by saying the same thing in reverse order. Well, not having seen anything more than yet another qualification - how much is "too much?" Definitely depends on "the market." It would be more compelling if you simply stated the cost for ANY market. Qualified statements are suitable for Madison Avenue to sell cheese, but it doesn't make for an informed cost-based decision. That being said, back in the analog broadcast TV days (oh, wait, not all of them are gone yet, but they will be soon), I believe that "studio quality" NTSC is considered to be 50dB SNR (for the video), whereas people would start to notice the noise if the received signal's SNR had dropped below 30ish dB, and 10dB produces an effectively unwatchable pictures. This reinforces your point that "good enough" is highly subjective depending on how the "information" transmitted is actually used. I would suspect that "studio quality" observes other characteristics of the signal. A multipath reception could easily absorb a considerable amount of interfering same-signal to abyssmal results. It would take a very sophisticated "noise" meter to perform the correct S+N/N. You make a good point that the Shannon limit gives a good quantitative measure of how you go about trading off bandwidth for SNR (effectively power if your noise if fixed by, e.g., atmospheric noise coming into an antenna). Shannong doesn't give any hint as to how to achieve the limits specified, although I've read that with fancy digital modulation techniques and "turbo" error-correcting codes, one can come very close to the limit. The "Turbo" codes are achievable in silicon with moderate effort. A work going back a dozen years or more can be found at: http://sss-mag.com/G3RUH/index2.html (consult the adjoining pages for fuller discussion) 73's Richard Clark, KB7QHC |
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