Identifiability of minimal, stable, rational, causal systems using second-order output cyclic spectra

In this paper, the (blind) identifiability of systems using the second-order output cyclic spectra is considered. It is shown that the class of minimal, stable, rational causal (MSRC) systems is not identifiable, and the identification is limited by a nontrivial ambiguity associated with the so-called cyclic all-pass factor. The largest subclass of MSRC systems that ensures the unique identification is shown to be the set of MSRC systems that do not have special uniformly spaced maximum phase zeros. >

[1]  Athanasios Papoulis.  Identification of systems driven by nonstationary noise (Corresp.) , 1978, IEEE Trans. Inf. Theory.

[2]  G. Giannakis.  On the identifiability of non-Gaussian ARMA models using cumulants , 1990 .

[3]  Lang Tong,et al.  A new approach to blind identification and equalization of multipath channels , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[4]  Jerry M. Mendel,et al.  Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications , 1991, Proc. IEEE.

[5]  W. Gardner.  Exploitation of spectral redundancy in cyclostationary signals , 1991, IEEE Signal Processing Magazine.

[6]  Lang Tong,et al.  Blind identification and equalization of multipath channels , 1992, [Conference Record] SUPERCOMM/ICC '92 Discovering a New World of Communications.

[7]  Z. Ding,et al.  Channel identification using second order cyclic statistics , 1992, [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers.

[8]  Jitendra K. Tugnait,et al.  On blind identifiability of multipath channels using fractional sampling and second-order cyclostationary statistics , 1993, Proceedings of GLOBECOM '93. IEEE Global Telecommunications Conference.

[9]  Y. Li,et al.  Blind channel identification based on second order cyclostationary statistics , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.