On linear equalization of multiple FIR Volterra channels

A deterministic approach for blind equalization of single-input multiple-output (SIMO) Volterra FIR channels is addressed. It is shown that SIMO Volterra channels can be blindly equalized using only linear FIR filters, provided that a generalized Sylvester resultant constructed from Volterra kernels has maximum column rank and that a minimal persistence-of-excitation order is satisfied by the input. Necessary and sufficient conditions for the existence of linear equalizers are established. Simulations comparing the blind with non-blind equalization are provided.