A BPSK signal is detected coherently in the presence of AWGN with double-sided power spectral density....
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.
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density of 0.005 W/Hz is added to the signal. If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability ofPB< 10 A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density...
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...
A communication system operates in the presence of white noise with a two-sided power spectral density Sn(w)=10^-14 W/Hz and with a path loss of 20 dB. Calculate the minimum required bandwidth and the minimum required power of the transmitter for a 10 kHz sinusoidal input and a 40 dB output signal to noise ratio if the modulation is a) DSB-SC b) SSB-SC c) FM with Af = 10 kHz
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...