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How does the audio example square with nyquist limit? Basically you can get it back, mostly, with some clever tricks, but I’m not crazy thinking that the origin
by notajoke 6y ago
How does the audio example square with nyquist limit? Basically you can get it back, mostly, with some clever tricks, but I’m not crazy thinking that the original was decimated beyond lossless recovery right?
- timeinput 6y agoIt was, but the goal isn't lossless recovery it's good enough recovery either in an L1 minimizing sense, or some other criteria
- flaviu2 6y ago> Compressed sensing in this context is made possible by the fact that the signal’s frequency content is highly sparse. The fact that the signal is so regular is what makes this possible. You're sampling the same signal many times, far more than twice the frequency of the highest frequency. If the signal's frequencies changed over time or if there were more frequencies in the signal, this wouldn't work or would require far more data.
- im3w1l-alt 6y agoThe nyquist limit is based on recovering a general signal. If you have a-priori knowledge about the signal you can do much better.