This course explores elements of the theory and practice of digital communications. In particular we will focus on the following: Classification of signals and systems, Orthogonal functions, Fourier series, Fourier transform, Spectra and filtering, Sampling theory, Nyquist theorem, Random processes, autocorrelation, power spectrum, Pulse code Modulation (PCM) and variations, Signals and noise, ISI in bandlimited channels Zero-ISI condition: the Nyquist criterion, Raised cosine filters, Eb/No, demodulation and detection, Correlation receiver and matched filter, Detection of binary signals in AWGN, Optimal detection for general modulations, Bandpass PAM, coherent and noncoherent detection, MPSK and MFSK, coherent and noncoherent detection, QAM modulations, Calculation of error probability. |