problem 3 50 16 ary pam system let s 16 ary pam system transmit rectangular pulses at 160000 bit

Hello everyone so here it is given that am is equal to 16 so 16 array am is base and signaling r

Here we are given the transmit duration is 2 .08 megabytes per second and PE is equal to 10 powe

So here we can say that if bit rate is doubled, then the error probability would increase four t

Question

Problem 3 (50%) 16-ary PAM System Let's consider a 16-ary PAM system that transmits rectangular pulses at a rate of 160,000 bits/sec. It is required that the transmitted power does not exceed 21.25 Volts^2. A. Determine the bandwidth needed to achieve 95% in-band power. B. What are the optimal amplitudes to be used for the 16 symbols if the average normalized transmitted power is not greater than 21.25 Volts^2? C. Assume that the channel attenuates the signal voltage by 60%, resulting in only 40% of the transmitted voltage reaching the receiver. The two-sided average noise power spectral density at the receiver is 4 x 10^-6 Volts^2/Hz. If a correlation receiver with 15 levels is used, calculate the probability of Symbol error, Ps. D. Assuming a Gray code is used and errors only occur between adjacent symbols, determine the probability of Bit error, Pb. E. Suppose errors can occur between any two symbols, not just adjacent ones, and that they are all equally likely. What is the probability of bit error, Pb, in this case?

          Problem 3 (50%) 16-ary PAM System

Let's consider a 16-ary PAM system that transmits rectangular pulses at a rate of 160,000 bits/sec. It is required that the transmitted power does not exceed 21.25 Volts^2.

A. Determine the bandwidth needed to achieve 95% in-band power.

B. What are the optimal amplitudes to be used for the 16 symbols if the average normalized transmitted power is not greater than 21.25 Volts^2?

C. Assume that the channel attenuates the signal voltage by 60%, resulting in only 40% of the transmitted voltage reaching the receiver. The two-sided average noise power spectral density at the receiver is 4 x 10^-6 Volts^2/Hz. If a correlation receiver with 15 levels is used, calculate the probability of Symbol error, Ps.

D. Assuming a Gray code is used and errors only occur between adjacent symbols, determine the probability of Bit error, Pb.

E. Suppose errors can occur between any two symbols, not just adjacent ones, and that they are all equally likely. What is the probability of bit error, Pb, in this case?

Added by Vicente N.

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