
User manual for the ZEN 3-channel X-LMS controller Soft dB inc.
Figure 5: Schematic for the uncoupled version of the control algorithm
The table below describes the nomenclature of each signal and function illustrated in
Figure 5:
Signal or
function
Description
Note: x and y are the output / input numbers
Rx(n)
Reference signal x. These signals are filtered by an adjustable high-pass filter to remove
the DC component of the signal.
Cx(n) Output control signals x.
Ex(n)
Error signals x. These signals are filtered by an adjustable high-pass filter to remove the
DC component of the signal.
Mu Normalized adaptative step size. Only one Mu is used for all optimizations.
F_Rx Adjustable band-pass or low-pass filter to force the control on a specific spectral zone.
F_Ex Adjustable band-pass or low-pass filter to force the control on a specific spectral zone.
F_Cx
Adjustable band-pass or low-pass filter to avoid aliasing on control output signals. This
is the same band-pass filter used on the inputs.
Note: this filter can also be optionally removed if required.
CxEy
This filter represents the secondary control path between control output x and error
sensor y.
CxRx
This filter represents the primary control path between control output x and reference
sensor x. Note: even if coupled mode is used, the primary cross-paths (CxRy) are not
used.
Wx Control filter x.
Norm x
Function for the normalization of the adaptative step size. The normalization is done
with the energy of the filtered reference. Note: normalization is done for each LMS
function but even in coupled mode, the secondary cross-path filter is not used for the
normalization.
LMS_x Optimization function (LMS) for control filter x.
W.N. White noise
enerator. The out
ut of this
enerator is added to the reference si
nals. The
ZEN User Manual p. 10
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