Multiplierless perfect reconstruction modulated filter banks with sum-of-powers-of-two coefficients

@article{Chan2001MultiplierlessPR,
  title={Multiplierless perfect reconstruction modulated filter banks with sum-of-powers-of-two coefficients},
  author={S. C. Chan and W. Liu and K. L. Ho},
  journal={IEEE Signal Processing Letters},
  year={2001},
  volume={8},
  pages={163-166}
}
  • S. Chan, W. Liu, K. Ho
  • Published 2001
  • Computer Science, Mathematics
  • IEEE Signal Processing Letters
This paper proposes an efficient class of perfect reconstruction (PR) modulated filter banks (MFB) using sum-of-powers-of-two (SOPOT) coefficients. This is based on a modified factorization of the DCT-IV matrix and the lossless lattice structure of the prototype filter, which allows the coefficients to be represented in SOPOT form without affecting the PR condition. A genetic algorithm (GA) is then used to search for these SOPOT coefficients. Design examples show that SOPOT MFB with a good… Expand
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References

SHOWING 1-10 OF 11 REFERENCES
The design of two-channel lattice-structure perfect-reconstruction filter banks using powers-of-two coefficients
An optimization technique is presented for the design of two-channel lattice-structure perfect-reconstruction filter banks with powers-of-two coefficients. The filter coefficients are represented byExpand
Perfect reconstruction modulated filter banks without cosine constraints
  • S. Chan, C. Kok
  • Mathematics, Computer Science
  • 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing
  • 1993
TLDR
The authors propose a set of constraints on the modulation to achieve PR while retaining the desirable power complementary conditions on the polyphase components and the complete solution is generated by the set of unitary matrices. Expand
Cosine-modulated FIR filter banks satisfying perfect reconstruction
TLDR
A novel design procedure is presented based on the two-channel lossless lattice that enables the design of a large class of FIR (finite impulse response)-PR filter banks, and includes the N=2M case. Expand
The design of low complexity two-channel lattice-structure perfect-reconstruction filter banks using genetic algorithms
  • S. Sriranganathan, D. Bull, D. Redmill
  • Mathematics
  • Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97
  • 1997
This paper considers the design of reduced complexity 2 band QMF filter banks. In order to ensure perfect reconstruction, a lattice architecture has been adopted. Genetic algorithms are used toExpand
Discrete-coefficient linear-phase prototypes for PR cosine-modulated filter banks
  • A. Mertins
  • Mathematics, Computer Science
  • Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181)
  • 1998
TLDR
A method for the design of perfect reconstruction (PR) linear-phase prototypes for cosine-modulated filter banks with discrete coefficients is presented, based on a subspace approach that allows to linearly combine PR prototype filters in such a way that the resulting filter also is a PR prototype. Expand
The GenLOT: generalized linear-phase lapped orthogonal transform
TLDR
A class of lapped orthogonal transforms with extended overlap (GenLOTs) is developed as a subclass of the general class of LPPUFB as a method to process finite-length signals. Expand
Lapped transforms for efficient transform/subband coding
  • H. Malvar
  • Mathematics, Computer Science
  • IEEE Trans. Acoust. Speech Signal Process.
  • 1990
Two lapped transforms for subband/transform coding of signals are introduced: a version of the lapped orthogonal transform (LOT), which can be efficiently computed for any transform length; and theExpand
Extended lapped transforms: properties, applications, and fast algorithms
  • H. Malvar
  • Mathematics, Computer Science
  • IEEE Trans. Signal Process.
  • 1992
TLDR
The extended lapped transform (ELT) is introduced, as a generalization of the previously reported modulated lapping transform (MLT), which is a promising substitute for traditional block transforms in transform coding systems, and also a good substitute for less efficient filter banks in subband coding systems. Expand
Fast algorithms for the discrete W transform and for the discrete Fourier transform
A systematic method of sparse matrix factorization is developed for all four versions of the discrete W transform, the discrete cosine transform, and the discrete sine transform, as well as for theExpand
Multiplier-Less Sinusoidal Transforms using SOPOT Coefficients
  • Int. Rep., Univ. Hong Kong, Hong Kong, 1999.
  • 1999
...
1
2
...