Time-varying channel model efficiency

We consider the form of a physically motivated simple one path time-varying channel in the time-varying impulse response, time-frequency characterization and time-scale characterization settings. Our goal is to determine which setting allows for the most efficient (i.e., sparse) discrete channel representation as a function of input signal bandwidth. We measure how well the input-output relationship is captured by the discrete coefficients for modulated Gaussian pulse input signals and examine how the performance of the discrete channel models varies with the bandwidth of the input signal.