Filter Banks

Efficient Filter Bank Implementations - Single Stepping

Matlab code

ModifyPrototype.m

MakeTDL.m extract samples in a tapped delay line (TDL)

GDFTAnaCmplx.m GDFT modulated analysis filter bank for complex valued fullband signals

GDFTSynCmplx.m GDFT modulated synthesis filter bank for complex valued fullband signals

GDFTCmplxTest.m example program

GDFTAnaReal.m GDFT modulated analysis filter bank for real valued fullband signals

GDFTSynReal.m GDFT modulated synthesis filter bank for real valued fullband signals

GDFTRealTest.m example program

Octave code (matlab compatible)

ModifyPrototypeOct.m

MakeTDL.m extract samples in a tapped delay line (TDL)

GDFTAnaCmplxOct.m GDFT modulated analysis filter bank for complex valued fullband signals

GDFTSynCmplxOct.m GDFT modulated synthesis filter bank for complex valued fullband signals

GDFTCmplxTestOct.m example program

GDFTAnaRealOct.m GDFT modulated analysis filter bank for real valued fullband signals

GDFTSynRealOct.m GDFT modulated synthesis filter bank for real valued fullband signals

GDFTRealTestOct.m example program

C-code

GDFTBankCmplx.c all required subroutines are contained in this file

Literature

S. Weiss, Analysis and Fast Implementation of Oversampled Modulated Filter Banks. In John G McWhirter and Ian K. Proudler (eds.): Mathematics in Signal Processing V, IMA, pp.263-274, 2001.

S. Weiss and R.W. Stewart, Fast Implementation of Oversampled Modulated Filter Banks. IEE Electronics Letters, Vol.36(No.17): pp.1502-1503, August 2000.

S. Weiss and R.W. Stewart, On Adaptive Filtering in Oversampled Subbands. Volume 8 in series: Berichte aus der Kommunikations- und Informationstechnik (eds. B. Girod and J. Huber). Shaker Verlag, Aachen, 1998 (ISBN 3-8265-4566-4), 213 pages.

Efficient Filter Bank Implementations - Block Processing

Matlab code

DFTPolyAnalysisReal.m oversampled modulated analysis filter bank implementation for real input

DFTPolySynthesisReal.m oversampled modulated synthesis filter bank implementation for real input

DFTPolyAnalysisCmplx.m oversampled modulated analysis filter bank implementation for complex input

DFTPolySynthesisCmplx.m oversampled modulated synthesis filter bank implementation for complex input

DFTPolyCmplxTest.m script file demonstrating the use of DFTPolyAnalysisCmplx() and DFTPolySynthesisCmplx()

DFTPolyEntries2.m function for appropriate factorisation of polyphase analysis/synthesis matrices

Expand.m function for expansion by zeros

Shift.m function for implementing delays by shifts

ReArrange.m function for re-arranging a vector into a matrix

Literature

S. Weiss and R.W. Stewart, On Adaptive Filtering in Oversampled Subbands. Volume 8 in series: Berichte aus der Kommunikations- und Informationstechnik (eds. B. Girod and J. Huber). Shaker Verlag, Aachen, 1998 (ISBN 3-8265-4566-4), 213 pages.

Filter Bank Design

Matlab code

IterLSDesign.m iterative least squares prototype filter design for an oversampled modulated filter bank

PolyPhaseMat.m function creating the polyphase matrix for convolution

FreqGridMat.m function creating a modified DFT matrix for measuring the stopband attenuation

MeasureAliasDist.m function measuring the level of aliasing that limits the MMSE

filter16_14_448.m prototype filter example for K=16, N=14, Lp=448

filter32_26_896.m prototype filter example for K=32, N=28, Lp=896

filter8_6_96.m prototype filter example for K=8, N=6, Lp=96

Literature

Stephan Weiss, Alexander Stenger, Robert W. Stewart, and Rudolf Rabenstein, Steady-State Performance Limitations of Subband Adaptive Filters. IEEE Transactions on Signal Processing, Vol.49(No.9), pp.1982-1991, September 2001.

M. Harteneck, S. Weiss, and R.W. Stewart Design of Near Perfect Reconstruction Oversampled Filter Banks for Subband Adaptive Filters. IEEE Transactions on Circuits and Systems Part II: Analog and Digital Signal Processing, Vol.46(No.8): pp.1081-1086, August 1999.

S. Weiss and R.W. Stewart, On Adaptive Filtering in Oversampled Subbands. Volume 8 in series: Berichte aus der Kommunikations- und Informationstechnik (eds. B. Girod and J. Huber). Shaker Verlag, Aachen, 1998 (ISBN 3-8265-4566-4), 213 pages.

Subband Projections

Matlab code

Matlab / Octave code

Adaptive Filters - Block Processing

Matlab / Octave code

LMS.m least mean square (LMS) adaptive algorithm

NLMS.m normalised LMS (NLMS) adaptive algorithm

NLMS2.m 2 channel NLMS algorithm

RLS.m recursive least squares (RLS) algorithm

RLS2.m RLS stabilised for complex valued data

APA.m affine projection algorithm (APA)

APA2.m APA for complex valued data

BF_LCMV_LMS.m linearly constrained minimum variance (LCMV) beamformer (BF) updated by an LMS

BF_LCMV_NLMS.m linearly constrained minimum variance (LCMV) beamformer (BF) updated by an NLMS

BF_LCMV_RLS.m linearly constrained minimum variance (LCMV) beamformer (BF) updated by an RLS

Literature

S. Haykin, Adaptive Filter Theory, 2nd edition, Prentice Hall, 1991.

Quadrature Amplitude Modulation

Matlab / Octave code

BitStream.m produuces a bit stream

BitToSymbolStream.m converts a bit- into a symbol stream

SymbolToBitStream.m converts a symbol- into a bitstream

QAM_Mod.m

QAM_Demod.m

QAMScaling.m

QAM_Slicer.m

GrayCoding.m

GrayDecoding.m

StreamTest.m test function