Overview

Subband normalized LMS adaptive filter

Discussion

The SbNLMS module implements a subband-based normalized LMS algorithm. There is a separate complex filter within each subband. The module takes 2 single channel inputs: filter input data and reference signal (desired filter output). For every data sample the filter output is compared to the reference signal and this information is used to update the filter taps according to the normalized LMS algorithm. The module always has 2 single channel ouputs: adaptive filter output and error signal, (reference-(filter output)). The array .coeffs holds complex filter coefficients and is of size numTaps x numBins, where numBins is the number of frequency domain bins (or subbands). numBins equals the FFT size / 2 + 1. The coefficients are stored in coeffs in normal order. The state variable array is complex data of size numTaps x numBins, and circular buffer is used within each subband.

The constructor argument MAXTAPS specifies the maximum number of taps in the filter. The variable .numTaps specifies how many taps are actually used. numTaps is in the range 1 to MAXTAPS.

The constructor argument MUINPUT determines where the adaptation parameter mu is taken from. By default, MUINPUT = 0 and the adaptation parameter is taken from the internal parameter .mu; the same factor is used for all subbands. If MUINPUT = 1, then the module has a 3rd input pin. This pin contains real data of size FFT size / 2 + 1 and each point specifies the mu factor for each subband. This allows external logic to be used when computing mu and allows mu to vary between subbands. When MUINPUT = 1 then the internal paramter .mu is ignored.

Type Definition

typedef struct _ModuleSbNLMS
{
    ModuleInstanceDescriptor instance;            // Common Audio Weaver module instance structure
    INT32 maxTaps;                                // Maximum length of the filter
    INT32 numTaps;                                // Current length of the filter
    FLOAT32 mu;                                   // Adaptation constant
    FLOAT32 offset;                               // Normalization offset constant
    INT32 stateIndex;                             // Index of the oldest state variable in the array of state variables
    FLOAT32* coeffs;                              // Coefficient array
    FLOAT32* state;                               // State variable array
} ModuleSbNLMSClass;

Variables

Properties

Name	Type	Usage	isHidden	Default value	Range	Units
maxTaps	int	const	0	32	1:1:5000	samples
numTaps	int	parameter	0	32	1:1:32	samples
mu	float	parameter	0	0.5	0:1	linear
offset	float	parameter	0	0.001	0:0.001	linear
stateIndex	int	state	1	0	Unrestricted
coeffs	float*	state	0	[32 x 32]	Unrestricted
state	float*	state	1	[32 x 32]	Unrestricted

Pins

Input Pins

Name: dataIn

Description: Filter input

Data type: float

Channel range: 1

Block size range: Unrestricted

Sample rate range: Unrestricted

Complex support: Complex

Name: reference

Description: Reference input: desired filter output

Data type: float

Channel range: 1

Block size range: Unrestricted

Sample rate range: Unrestricted

Complex support: Complex

Name: mu

Description: Per bin mu parameter

Data type: float

Channel range: 1

Block size range: Unrestricted

Sample rate range: Unrestricted

Complex support: Real

Output Pins

Name: dataOut

Description: Filter output

Data type: float

Name: errorSignal

Description: Error signal = difference between filter output and reference input

Data type: float

MATLAB Usage

File Name: sb_nlms_module.m

 M=sb_nlms_module(NAME, MAXTAPS, MUINPUT)
 Complex normalized LMS filter which operates in the subband domain.
 This module works in conjunction with the STFT analysis and synthesis
 module in Audio Weaver.  The module has 2 single channel input pins
 and 2 single channel output pins:
    Input Pin 1:  dataIn  - Adaptive filter desired output
    Input Pin 2:  reference - Adaptive filter input
    Output Pin 1:  dataOut - output of the adaptive filter
    Output Pin 2:  errorSignal - difference between dataIn and dataOut
 Arguments:
    NAME - name of the module.
    MAXTAPS - maximum length of the filter (number of complex taps).
    MUINPUT - optional Boolean input which specifies whether the per
              bin mu parameter is input on a pin.  By default,
              MUINPUT = 0 and the mu factor for all filters is set
              by the parameter .mu.  When MUINPUT = 1, then the
              third input pin on the mu specifies the per bin mu
              parameter and the instance variable .mu is ignored.