Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Deri...
A binary PSK signal in the presence of additive white Gaussian noise (AWGN) is detected by a correlation receiver. Assuming that the carrier recovery circuit has a phase error of 8, show that the bit error rate is given by: Ρ. = (1/2)erfe[VE, Ncoς ε] Where E, is the bit energy of the signal and N, is the power spectral density of the AWGN. Assume that the symbols occur with equal probability.
Consider additive white Gaussian noise with a double-sided noise power spectral density (PSD) 12-90 dBm/Hz 1E-12 W/Hz. This noise corrupts a baseband polar NRZ signal with rectangular pulses, like that 1 mV and the pulse duration is Tb such that the symbol rate is Rb 1/Tb. Since this is binary signaling, the symbol rate equals the bit rate of the incoming baseband pulse train: B Rt. The signal is then sampled at the center of the noisy shown in the...
3. (40 points) A binary communication system transmits signals s (0) (i = 1, 2). The receiver samples the received signal r(t) = s(t)+ n(t) at T and obtain the decision statistic r =r(T) = S(T) + n(T) = a, un, where the signal component is either a = + A or a, = -A with A >0 and n is the noise component. Assume that s (6) and s(l) are equally likely to be transmitted and the decision threshold...