Full diversity blind space-time block codes

In this paper, we consider the systematic design of a space-time block code for a wireless communication system with multiple transmitter-receiver antennas and flat fading, in which channel state information is completely unknown. From the viewpoint of blind signal processing, we give a necessary and sufficient condition for the unique identification of the MIMO flat fading channel and transmitted signal. Then, we establish some novel unique factorizations for a pair of coprime P-ary and Q-ary Phase Shift Keying (PSK) constellations. With this and currently available coherent space-time block code designs we develop a method to systematically construct full diversity blind nonunitary space-time block codes, as well as unitary codes by just performing the QR decomposition of the non-unitary codes. We prove that under a noise-free environment, our code design can guarantee that the transmitted signals and the channel coefficients are uniquely identified.