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  • richb's DSP display tagshide tags

    This module is included inLens: richb's DSP resources
    By: Richard BaraniukAs a part of collection:"Adaptive Filters"

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Complex LMS

Module by: Douglas L. Jones

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LMS for complex data and coefficients (such as quadrature communication systems) takes the form y k =WkH X k y k W k H X k e k = d k − y k e k d k y k W k + 1 =Wk+2μ e k * X k W k + 1 W k 2 μ e k * X k It is derived in exactly the same way as LMS, using the following complex vector differentiation formulas ddWPHW=0 W P H W 0 ddWWHP=2P W W H P 2 P ddWWHRW=2RW W W H R W 2 R W or by differentiating with respect to the real and imaginary parts separately and recombining the results.

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