Efficient Implementation of Complex Modulated Filter Banks Using Cosine and Sine Modulated Filter Banks

The recently introduced exponentially modulated filter bank (EMFB) is a-channel uniform, orthogonal, critically sampled, and frequency-selective complex modulated filter bank that satisfies the perfect reconstruction (PR) property if the prototype filter of an-channel PR cosine modulated filter bank (CMFB) is used. The purpose of this paper is to present various implementation structures for the EMFBs in a unified framework. The key idea is to use cosine and sine modulated filter banks as building blocks and, therefore, polyphase, lattice, and extended lapped transform (ELT) type of implementation solutions are studied. The ELT-based EMFBs are observed to be very competitive with the existing modified discrete Fourier transform filter banks (MDFT-FBs) when comparing the number of multiplications/additions and the structural simplicity. In addition, EMFB provides an alternative channel stacking arrangement that could be more natural in certain subband processing applications and data transmission systems.

[1]  Robert Bregovic,et al.  Multirate Systems and Filter Banks , 2002 .

[2]  Behrouz Farhang-Boroujeny,et al.  Subband adaptive filtering with real-valued subband signals for acoustic echo cancellation , 2001 .

[3]  P. P. Vaidyanathan,et al.  Cosine-modulated FIR filter banks satisfying perfect reconstruction , 1992, IEEE Trans. Signal Process..

[4]  Henrique S. Malvar,et al.  Signal processing with lapped transforms , 1992 .

[5]  Markku Renfors,et al.  Complex modulated critically sampled filter banks based on cosine and sine modulation , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[6]  Henrique S. Malvar A modulated complex lapped transform and its applications to audio processing , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[7]  Tapio Saramäki,et al.  A systematic technique for designing linear-phase FIR prototype filters for perfect-reconstruction cosine-modulated and modified DFT filterbanks , 2005, IEEE Transactions on Signal Processing.

[8]  Desmond P. Taylor,et al.  Data Transmission by FrequencyDivision Multiplexing Using the Discrete Fourier Transform , 2007 .

[9]  Markku Renfors,et al.  Implementation of parallel cosine and sine modulated filter banks for equalized transmultiplexer systems , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[10]  Vladimir Britanak,et al.  A new fast algorithm for the unified forward and inverse MDCT/MDST computation , 2002, Signal Process..

[11]  Ari Viholainen,et al.  Coefficient quantization in nearly perfect-reconstruction cosine-modulated filter banks , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[12]  Truong Q. Nguyen,et al.  The theory and design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction , 1996, IEEE Trans. Signal Process..

[13]  Henrique S. Malvar Extended lapped transforms: properties, applications, and fast algorithms , 1992, IEEE Trans. Signal Process..

[14]  Tanja Karp,et al.  Computationally efficient realization of MDFT filter banks , 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).

[15]  Tanja Karp,et al.  MDFT filter banks with perfect reconstruction , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[16]  Tanja Karp,et al.  Modified DFT filter banks with perfect reconstruction , 1999 .

[17]  N. J. Fliege,et al.  Computational efficiency of modified DFT polyphase filter banks , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[18]  S. Weinstein,et al.  Data Transmission by Frequency-Division Multiplexing Using the Discrete Fourier Transform , 1971 .

[19]  Markku Renfors,et al.  Efficient implementation of complex exponentially-modulated filter banks , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[20]  Tapio Saramiiki Designing Prototype Filters for Perfect- Reconstruction Cosine-Modulated Filter Banks , 1992 .

[21]  Rolf Gluth A unified approach to transform-based FIR filter banks with special regard to perfect reconstruction systems , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.