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Ansoft Designer / Ansys Designer 在线帮助文档：

System Simulator >
System Component Models >
Equalizers >
   Least Mean Square Equalizer (LMSE)       

Least Mean Square Equalizer (LMSE)

Notes

This model updates the filter coefficients of the equalizer based on the input signal and the error signal (i.e., the difference between the output of the equalizer and the actual desired output). The update is based on minimizing the mean square error (i.e., minimizing the absolute value of the error signal).

Let X(n) and h(n) denote the input signal vector and the vector of filter coefficients respectively at time instant n. Each vector is assumed to be of length NTAPS (i.e., number of filter taps). The update of the filter coefficients is done according to

h(n+1) = h(n) + DELTA * e(n) * X(n)

where e(n) = d(n) - y(n), where d(n) is the desired output and y(n) is equalizer output. The output of the equalizer at instant n + 1 is given by

y(n+1) = trans(X(n+1)) * h(n+1)

Where trans(.) denotes the transpose operator. The following initial conditions are always assumed:

h(-1) = 0, X(-1) = 0

Netlist Form

LMSE:NAME n1 n2 n3 NTAPS=val DELTA=val [RIN1=val] [RIN2=val]

Netlist Example

LMSE:1 1 2 3 NTAPS=8 DELTA=.005

References

1. J. G. Proakis, Digital Communications, McGraw-Hill, 1989.

2. J. G. Proakis and D. G. Manolakis, Digital Signal Processing, Macmillan, 1988.

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