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Detection of signals in AWGN Observe: r(t)=S(t)+n(t), tE O,T Decide which of,, ..,Sm was sent Receiver filter Designed to maximize signal-to-noise power ratio ( sNr) t) y(t) Sample at t=T decide Goal: find h(t that maximized SNRDetection of signals in AWGN Observe: r(t) = S(t) + n(t), t ∈ [0,T] Decide which of S1, …, S m was sent • Receiver filter – Designed to maximize signal-to-noise power ratio (SNR) h(t) y(t) filter r(t) “sample at t=T” decide • Goal: find h(t) that maximized SNR Eytan Modiano Slide 8
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