Identifiability of BPSK, MSK and QPSK FIR SISO Channels from Modified Second-Order Statistics

This paper considers the problem of blind estimation of finite impulse responses (FIR) of single-input single-output (SISO) channels from second order statistics of transformed data, when the channel is excited by binary phase shift keying (BPSK), minimum shift keying (MSK) or quadrature phase shift keying (QPSK) inputs. Identifiability conditions are derived by considering that noncircularity induces diversity. Performance issues are also addressed by using standard subspace-based estimators, with benchmarks such as asymptotically minimum variance (AMV) bounds based on different statistics