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5. Suppose you have to transmit 20 different user signals together from one place to another. Each signal 2;(t), i = 1, 2, ... ,

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5. Suppose you have to transmit 20 different user signals together from one place to another. Each signal 2;(t), i = 1, 2, ... , 20 is bandlimited to 40007, i.e., X:(w) = 0 for wl > 40007. (a) Suppose time-division multiplexing is used so that each signal is multiplied in the time domain by a pulse train carrier c(t) shown in Fig. 3 (with appropriate shifts in the time domain) before summing the signals. If the period T of c(t) is chosen to have the maximum allowable value, what is the largest value of A such that all 20 signals can be time-division multiplexed? HI -T 0 T 2T t Figure 3: Time-division multiplexing carrier c(t). 5. Suppose you have to transmit 20 different user signals together from one place to another. Each signal 2;(t), i = 1, 2, ... , 20 is bandlimited to 40007, i.e., X:(w) = 0 for wl > 40007. (a) Suppose time-division multiplexing is used so that each signal is multiplied in the time domain by a pulse train carrier c(t) shown in Fig. 3 (with appropriate shifts in the time domain) before summing the signals. If the period T of c(t) is chosen to have the maximum allowable value, what is the largest value of A such that all 20 signals can be time-division multiplexed? HI -T 0 T 2T t Figure 3: Time-division multiplexing carrier c(t)

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