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Hello everyone,
I have a question regarding data reconstruction over RF, especially in the case of FM. Let us say I have a trivial case where I have a carrier frequency of f_{o} and a bandwidth of f_{bw}. I want to setup a scheme such that f_{o} + f_{bw} is a 1 and f_{o}  f_{bw} is a 0. (I'm naively under the impression that this is, in general, how FM works...)
At the receiver side, the hardware is measuring (and sampling) voltage over time. If the samples are being taken at higher than the Nyquist frequency, I should (in theory) be able to reconstruct the original signal. But how does one calculate the frequency received in real time?
In other words, at what point does one know "Ah this is at f_{o} + f_{bw}, therefore a 1" during the sampling process? Does it take multiple samples, or is there some way to immediately calculate this, and with what level of confidence?
An example image: If I'm sampling a signal (red circles), where can I confidently conclude that the frequency is either f_{o} + f_{bw} or f_{o}  f_{bw}?
Thanks!
I have a question regarding data reconstruction over RF, especially in the case of FM. Let us say I have a trivial case where I have a carrier frequency of f_{o} and a bandwidth of f_{bw}. I want to setup a scheme such that f_{o} + f_{bw} is a 1 and f_{o}  f_{bw} is a 0. (I'm naively under the impression that this is, in general, how FM works...)
At the receiver side, the hardware is measuring (and sampling) voltage over time. If the samples are being taken at higher than the Nyquist frequency, I should (in theory) be able to reconstruct the original signal. But how does one calculate the frequency received in real time?
In other words, at what point does one know "Ah this is at f_{o} + f_{bw}, therefore a 1" during the sampling process? Does it take multiple samples, or is there some way to immediately calculate this, and with what level of confidence?
An example image: If I'm sampling a signal (red circles), where can I confidently conclude that the frequency is either f_{o} + f_{bw} or f_{o}  f_{bw}?
Thanks!
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