4. Consider a binary digital system with a simple detector and P(m = 0) = P(m= 1). The waveforms si(t) (sent when m = 1)

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4 Consider A Binary Digital System With A Simple Detector And P M 0 P M 1 The Waveforms Si T Sent When M 1 1 (64.48 KiB) Viewed 25 times

4. Consider a binary digital system with a simple detector and P(m = 0) = P(m= 1). The waveforms si(t) (sent when m = 1) and sz(t) (sent when m= 0) are shown in Figure 2. The digital system operates in Laplacian Noise with the following distribution Pn(n) = A e = Find (a) Optimal sampling time T* (b) Optimal threshold value Veth (c) Minimal probability error Pemin si(1) 1 Tb/4 Tb/2 3Tb/4 Tb S2(0) 1 -1 Tb/4 Tb/2 3Tb/4 Tb Figure 2: Waveforms sı(t) and s(t) for Problem 4. Hint: You need to find the value of A.