Chebyshev detection of layered space time codes

The fundamental model of MIMO detection is solving the n unknown from n complex equation if we assume transmit and receiver antenna number are n. Usually, iteration is used to let the solution to converge the correct value. From the mathematical point, iterative PIC is a convergence procedure. We analyze the performance of the first order Chebyshev detection and compare with other detection in layered space time code. Chebyshev detection achieves near MMSE performance with a relatively low complexity, especially suitable for a rapidly fading channel such as continuous fading channel or large number of transmit and receiver antennas array system.