Kalman equalizer

Claim 1

A fast Kalman equalizer (FIG. 27) having a complex impulse response for equalizing a complex input signal comprising: (a) an input terminal Q 5 for receiving an input signal g k , (b) a transversal filter (TFQ) coupled with said input terminal Q 5 , said transversal filter (TFQ) having at least a tapped delay line (TDLQ 1 ) with a plurality of adjustable taps and an adder (SUMQ 1 ) for summing up all the tap outputs of said tapped delay line (TDLQ 1 ), (c) an output terminal Q 7 coupled with the output of said adder (SUMQ 1 ) for providing an equalized output signal, (d) a complex number adder (ADQ 1 ) for providing e k (Eq. 11), (e) a complex number A register controller (PTAQ) for providing k k (Eq. 14), A k (Eq. 18'), and q k (Eq. 18), (f) a tap gain memory (RQ) for providing a tap coefficient to said tapped delay line (TDLQ 1 ), by accepting the increment of the tap weight using the formula Δh k =k k e k (Eq. 12), (g) a multiplicator (MQ 22 ) for providing said product (Δh k =k k e k (Eq. 12)) of the reference signal e k from a reference terminal (Q 6 ) and k k (Eq. 14), (h) a complex number dimension increaser (DIQ 1 ) for providing x k (Eq. 9), (i) an S-register control (PTSQ) for providing (a) v k which is the complex conjugate of v k by the complex conjugate generator (C 2 ), said v k is obtained by Eq. 19 (v k =g k +A k T ·x k , where A k T is the transposed matrix of the matrix A k ), and (b) S k =S k-1 +v k q k (Eq. 20'), according to the values A k , x k , and g k , where v k is the complex conjugate of v k , (j) a D-register control (PTDQ) for providing D k (Eq. 25), m k (Eq. 22 and Eq. 21), and w k (Eq. 23), (k) a k-register control (PTkQ) for providing k k+1 by the formula: k k+1 =m k -D k w k (Eq. 26), and (l) means for providing the value k k+1 obtained in said item (k) to the multiplicator (MQ 22 ) of the item (g), the A-register control (PTAQ) of the item (e), and the D-register control (PTDQ) of the item (j), for the next step calculation.