Analytical blind channel identification
Tóm tắt
A novel analytical blind single-input single-output (SISO) identification algorithm is presented, based on the noncircular second-order statistics of the output. It is shown that statistics of order higher than two are not mandatory to restore identifiability. Our approach is valid, for instance, when the channel is excited by phase shift keying (PSK) inputs. It is shown that the channel taps need to satisfy a polynomial system of degree 2 and that identification amounts to solving the system. We describe the algorithm that is able to solve this particular system entirely analytically, thus avoiding local minima. Computer results eventually show the robustness with respect to noise and to channel length overdetermination. Identifiability issues are also addressed.
Từ khóa
#Statistics #Algorithm design and analysis #Phase shift keying #Polynomials #Statistical analysis #Noise robustness #Channel estimation #Multipath channels #Filters #Wireless communicationTài liệu tham khảo
10.1109/78.205733
10.1109/78.476442
10.1145/190347.190374
10.1109/26.87168
10.1214/aoms/1177704250
harris, 1992, algebraic geometry, a first course, Graduate Texts in Math, 133
lacoume, 1997, statistiques d'ordre supérieur pour le traitement du signal, Coll Sci l Ingé nieur
10.1109/18.108246
10.1109/78.340782
10.1112/plms/s1-35.1.3
10.1109/78.348133
mourrain, 1998, computing isolated polynomial roots by matrix methods, J Symbolic Comput Special Issue on Symbolic– Numeric Algebra for Polynomials, 26, 715
10.1109/ACSSC.1997.680438
10.1109/18.108276
10.1016/0165-1684(96)00071-0
trebuchet, 2000, solving projective complete intersection faster, Proc Int Symp Symbolic Algebraic Comput, 231
comon, 1994, circularité et signaux aléatoires à temps discret, Traitement du Signal, 11, 417
benedetto, 1987, Digital Transmission Theory
10.2307/2333597
cox, 1992, ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra, Undergraduate Texts in Mathematics, 10.1007/978-1-4757-2181-2
10.1109/ACSSC.1998.751590
10.1109/78.558487
10.1016/S0022-4049(99)00083-3
10.1109/78.552204
10.1006/jcom.1999.0530
proakis, 1995, Digital Communications
10.1109/78.340781
10.1109/18.52478
10.1109/78.740150
10.1109/18.312157
slock, 1994, blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction, Proc ICASSP Conf