On Designing Time-Multiplexed Pilots for Doubly-Selective Channel Estimation using Discrete Prolate Spheroidal Basis Expansion Models

Channel estimation for single-input single-output frequency- and time-selective channels is considered using time- multiplexed training. The time-varying channel is assumed to be well-described by a basis expansion model using discrete prolate spheroidal sequences as the bases (DPS-BEM). First, the popular linear least-squares approach is exploited to estimate the basis expansion coefficients. Then the issue of training power allocation is addressed. Finally, computer simulation examples are presented where the channel is generated via Jakes' model.