On direct blind equalization of SIMO IIR channels with common zeros using second-order statistics

The problem of blind equalisation of SIMO (single-input multiple-output) communications channels is considered using only the second-order statistics of the data. Such models arise when a single receiver data is fractionally sampled (assuming that there is excess bandwidth), or when an antenna array is used with or without fractional sampling. We focus on direct design of finite-length MMSE (minimum mean-square error) blind equalizers. Unlike the past work on this problem, we allow infinite impulse response (IIR) channels. Our approaches also work when the "sub-channel" transfer functions have common zeros so long as the common zeros are minimum-phase zeros. Illustrative simulation examples are provided.