Communications Systems

This course is about representation of signals in terms of Fourier  Series and Fourier  Transforma- tions.  The students must be able to go back and  forth in time and frequency domains  and repre- sent signals in both domains.   They  should  comprehend  continuous time signals, sampled  signals, discrete-time  signals and  digital  signals both in time  and  in frequency  domains.   Introduction  to Signals and Systems, Fourier  Series and Fourier  Transform. Building blocks of communication sys- tems.  Signal types, vector spaces, generalized  functions.  Hilbert transform and analytical signals. Linear  and  angular  modulation  methods,  frequency  division multiplexing.   GM/SM  applications, stereo  TV.  Sampling,  quantization,  PCM,  DPCM,  DM,  TDM,  pulse  transmission:   PAM,PDM PWM.  Baseband  data transmission:  Nyquist pulse shaping;  Bandpass  data transmission and digi- tal modulation techniques:  ASK,PSK,FSK, QAM.Aims:In this course, the communication systems will be studied from a systems point of view, emphasiz- ing mathematical descriptions, representations, and processing of electrical signals that characterize such systems.