Multirate systems and filter banks
Multirate systems and filter banks
Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
Adaptive filtering in subbands using a weighted criterion
IEEE Transactions on Signal Processing
Digital filter bank design quadratic-constrained formulation
IEEE Transactions on Signal Processing
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Some convergence properties of an adaptive filter structure which employs an analysis filter bank and sparse adaptive subfilters are investigated in this paper. By properly choosing the filter bank and the number of adaptive coefficients, such a structure is capable of modeling any linear system with finite impulse response (FIR). Using the analysis results derived in this paper, an optimization procedure is described to select the prototype filter of a cosine modulated filter bank that results in the best convergence rate for a given input signal statistics. The convergence behavior of the proposed subband adaptation algorithm is verified by computer simulations and compared to the behavior of previously proposed algorithms. It is shown that significant improvement in the convergence rate can be obtained with the sparse subband structure using very simple filter banks, when compared to the conventional direct-form LMS algorithm, for colored input signals.