Blind identification of ARMA models with periodically modulated inputs

Recent results have pointed out the importance of inducing cyclostationarity at the transmitter for blind identification of FIR communication channels. Present paper considers the blind identification problem of an ARMA(p, q) channel, by exploiting the cyclostationarity induced at the transmitter through periodic encoding of the input. It is shown that causal and stable ARMA(p, q) channels can be uniquely identified from the output second-order cyclic statistics, irrespective of the location of channel poles and zeros, and color of additive stationary noise, provided that the cyclo-stationary input has at least q+2 cycles.