Abstract
We consider the blind deconvolution problem of FIR multiple-input multiple-output channel systems with or without transmission zeros at the origin. The number of the outputs (of a system) is assumed to be greater than the number of the inputs. A channel system is said to be equalizable if there exists an FIR equalizer which equalizes it. It is shown that any equalizable FIR system can be expressed as a product of an irreducible system and a paraunitary system. Based on this fact, it is shown that any equalizable FIR system can be converted to a paraunitary system through the whitening of the observations using the second-order statistics. When the original FIR system has no transmission zero at the origin, the paraunitary system obtained through the whitening of the observations becomes a constant (static) system.
