- Research Article
- Open access
- Published:
Efficient Implementation of Complex Modulated Filter Banks Using Cosine and Sine Modulated Filter Banks
EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 058564 (2006)
Abstract
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.
References
Karp T, Fliege NJ: Modified DFT filter banks with perfect reconstruction. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 1999, 46(11):1404–1414. 10.1109/82.803480
Malvar HS: A modulated complex lapped transform and its applications to audio processing. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '99), March 1999, Phoenix, Ariz, USA 3: 1421–1424.
Chin WH, Farhang-Boroujeny B: Subband adaptive filtering with real-valued subband signals for acoustic echo cancellation. IEE Proceedings—Vision, Image, and Signal Processing 2001, 148(4):283–288. 10.1049/ip-vis:20010452
Weinstein S, Ebert P: Data transmission by frequency-division multiplexing using the discrete Fourier transform. IEEE Transactions on Communications 1971, 19(5 part 1):628–634.
Crochiere RE, Rabiner LR: Multirate Digital Signal Processing. Prentice Hall, Englewood Cliffs, NJ, USA; 1983.
Malvar HS: Extended lapped transforms: properties, applications, and fast algorithms. IEEE Transactions on Signal Processing 1992, 40(11):2703–2714.
Koilpillai RD, Vaidyanathan PP: Cosine-modulated FIR filter banks satisfying perfect reconstruction. IEEE Transactions on Signal Processing 1992, 40(4):770–783. 10.1109/78.127951
Saramäki T: Designing prototype filters for perfect-reconstruction cosine-modulated filter banks. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '92), May 1992, San Diego, Calif, USA 3: 1605–1608.
Nguyen TQ, Koilpillai RD: The theory and design of arbitrary-length cosine-modulated filter banks and wavelets, satisfying perfect reconstruction. IEEE Transactions on Signal Processing 1996, 44(3):473–483. 10.1109/78.489021
Bregović R, Saramäki T: A systematic technique for designing linear-phase prototype filters for perfect-reconstruction cosine-modulated and modified DFT filter banks. Proceedings of International Workshop on Spectral Methods and Multirate Signal Processing (SMMSP '03), September 2003, Barcelona, Spain 45–54.
Karp T, Fliege NJ: MDFT filter banks with perfect reconstruction. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '95), April–May 1995, Seattle, Wash, USA 1: 744–747.
Alhava J, Renfors M: Complex lapped transforms and modulated filter banks. Proceedings of 2nd International Workshop on Spectral Methods and Multirate Signal Processing (SMMSP '02), September 2002, Toulouse, France 87–94.
Viholainen A, Stitz TH, Alhava J, Ihalainen T, Renfors M: Complex modulated critically sampled filter banks based on cosine and sine modulation. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '02), May 2002, Phoenix-Scottsdale, Ariz, USA 1: 833–836.
Alhava J, Viholainen A, Renfors M: Efficient implementation of complex exponentially-modulated filter banks. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '03), May 2003, Bangkok, Thailand 4: 157–160.
Malvar HS: Signal Processing with Lapped Transforms. Artech House, Boston, Mass, USA; 1992.
Vaidyanathan PP: Multirate Systems and Filter Banks. Prentice Hall, Englewood Cliffs, NJ, USA; 1993.
Viholainen A, Alhava J, Renfors M: Implementation of parallel cosine and sine modulated filter banks for equalized transmultiplexer systems. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '01), May 2001, Salt Lake City, Utah, USA 6: 3625–3628.
Britanak V, Rao KR: A new fast algorithm for the unified forward and inverse MDCT/MDST computation. Signal Processing 2002, 82(3):433–459. 10.1016/S0165-1684(01)00195-5
Gluth R, Heute U: Analysis/synthesis filter banks based on generalized sinusoidal transforms with an application to speech coding. Proceedings of 6th European Signal Processing Conference (EUSIPCO '92), August 1992, Brussels, Belgium 1: 215–218.
Gluth R: A unified approach to transform-based FIR filter banks with special regard to perfect reconstruction systems. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '93), April 1993, Minneapolis, Minn, USA 3: 157–160.
Fliege NJ: Computational efficiency of modified DFT polyphase filter banks. Proceedings of the 27th Asilomar Conference on Signals, Systems and Computers (ACSSC '93), November 1993, Pacific Grove, Calif, USA 2: 1296–1300.
Karp T, Fliege NJ: Computationally efficient realization of MDFT filter banks. Proceedings of 8th European Signal Processing (EUSIPCO '96), September 1996, Trieste, Italy 2: 1183–1186.
Saramäki T: A generalized class of cosine-modulated filter banks. Proceedings of 1st International Workshop on Transforms and Filter Banks, February 1998, Tampere, Finland 1: 336–365.
Alhava J, Viholainen A: Coefficient quantization in nearly perfect-reconstruction cosine-modulated filter banks. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '00), June 2000, Istanbul, Turkey 1: 536–539.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Viholainen, A., Alhava, J. & Renfors, M. Efficient Implementation of Complex Modulated Filter Banks Using Cosine and Sine Modulated Filter Banks. EURASIP J. Adv. Signal Process. 2006, 058564 (2006). https://doi.org/10.1155/ASP/2006/58564
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1155/ASP/2006/58564