A known deterministic signal, s (t), plus colored (not white) noise; N (t), with a PSD of SNN (f) is input to a filter. Derive the form of the filter that maximizes the SNR at the output of the filter at time t = to. To make this problem simpler, you do not need to insist that the filter is causal.
Answer to relevant QuestionsConsider the system described where a communication system transmits a square pulse of width t1. In that example, it was found that the matched filter can be implemented as a finite time integrator which integrates over a ...The sum of two independent random processes with PSDs are input to a LTI filter. (a) Determine the Wiener smoothing filter. That is, find the impulse response of the filter that produces an output that is an MMSE estimate ...If the input to a linear filter is a random telegraph process with c zero- crossings per second and amplitude A, determine the output PSD. The filter impulse response is h (t) = bexp(– at) u ( t). Show that the variance of the IS estimator of Equation (12.26) is given by Suppose we wish to generate a 10- ms realization of a zero- mean Gaussian random process with a PSD of (a) Find the bandwidth that contains 99% of the total power in the random process. (b) Determine how many frequency ...
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