A Comprehensive Investigation on Investigation of System with Sparse Co-Prime Sampling
نویسنده
چکیده
Considering a continuous time LTI system, with impulse response hc t , the uniformly spaced samples hc nT can be identified by using an impulse train input with an arbitrarily small rate 1/NT and sampling the system output with an arbitrarily small rate 1/MT, provided M and N to be coprime for any chosen time spacing T. It is shown that different LTI filters can be identified using the sparse coprime sampling and from input-output measurements. It is also shown that the pattern of random noise corrupting the transmitting signal in the channel can be identified.
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