Review of probability and random variables. Random processes, stationarity, correlation, covariance and ergodicity concepts. Transmission of random processes through linear filters, power spectral density. Gaussian random processes, white noise, filtered noise and narrowband noise. Baseband pulse transmission and optimal (matched filter) receiver. Probability of error for pulse transmission. Nyquist criterion for distortionless binary transmission, partial response signaling, multi-level signaling and tapped delay line equalization. Geometric interpretation of signals, coherent detection of signals in noise. Digital modulation techniques such as PSK, FSK, QPSK and etc. Detection of the digitally modulated signals. (Prerequisite: EEE 360, Math 322)