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Open Access Research Article

Optimal Design of Noisy Transmultiplexer Systems

Huan Zhou1* and Lihua Xie2

Author Affiliations

1 Signal Processing Group, Institute of Physics, University of Oldenburg, Oldenburg 26111, Germany

2 School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798

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EURASIP Journal on Advances in Signal Processing 2006, 2006:064645  doi:10.1155/ASP/2006/64645


The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2006/1/064645


Received:31 October 2004
Revisions received:26 August 2005
Accepted:19 September 2005
Published:14 March 2006

© 2006 Zhou and Xie

An optimal design method for noisy transmultiplexer systems is presented. For a transmultiplexer system with given transmitters and desired crosstalk attenuation, we address the problem of minimizing the reconstruction error while ensuring that the crosstalk of each band is below a prescribed level. By employing the mixed optimization, we will ensure that the system with suboptimal reconstruction error is more robust and less sensitive to the changes of input signals and channel noises. Due to the overlapping of adjacent subchannels, crosstalk between adjacent channels is expected. And the problem of crosstalk attenuation is formulated as an optimization problem, solved in terms of linear matrix inequalities (LMIs). The simulation examples demonstrate that the proposed design performs better than existing design methods.

References

  1. M Bellanger, JL Daguet, TDM-FDM transmultiplexer: digital polyphase and FFT. IEEE Transactions on Communications 22(9), 1199–1205 (1974). Publisher Full Text OpenURL

  2. Y-P Lin, S-M Phoong, ISI-free FIR filterbank transceivers for frequency-selective channels. IEEE Transactions on Signal Processing 49(11), 2648–2658 (2001). Publisher Full Text OpenURL

  3. M Vetterli, A theory of multirate filter banks. IEEE Transactions on Acoustics, Speech, and Signal Processing 35(3), 356–372 (1987). Publisher Full Text OpenURL

  4. H Scheuermann, H Göckler, A comprehensive survey of digital transmultiplexing methods. Proceedings of the IEEE 69(11), 1419–1450 (1981)

  5. PP Vaidyanathan, Multirate Systems and Filter Banks (Prentice-Hall, Englewood Cliffs, NJ, USA, 1993)

  6. M Vetterli, Perfect transmultiplexers. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '86), April 1986, Tokyo, Japan 11, 2567–2570

  7. RD Koilpillai, TQ Nguyen, PP Vaidyanathan, Some results in the theory of crosstalk-free transmultiplexers. IEEE Transactions on Signal Processing 39(10), 2174–2183 (1991). Publisher Full Text OpenURL

  8. J Critchley, PJW Rayner, Design methods for periodically time varying digital filters. IEEE Transactions on Acoustics, Speech, and Signal Processing 36(5), 661–673 (1988). Publisher Full Text OpenURL

  9. JS Prater, CM Loeffler, Analysis and design of periodically time-varying IIR filters, with applications to transmultiplexing. IEEE Transactions on Signal Processing 40(11), 2715–2725 (1992). Publisher Full Text OpenURL

  10. T Liu, T Chen, optimization applied to general transmultiplexer design. Proceedings of the 39th IEEE Conference on Decision and Control, December 2000, Sydney, NSW, Australia 5, 4314–4319

  11. Y-P Lin, S-M Phoong, Perfect discrete multitone modulation with optimal transceivers. IEEE Transactions on Signal Processing 48(6), 1702–1711 (2000). Publisher Full Text OpenURL

  12. B-S Chen, L-M Chen, Optimal reconstruction in multirate transmultiplexer systems under channel noise: Wiener separation filtering approach. Signal Processing 80(4), 637–657 (2000). Publisher Full Text OpenURL

  13. B-S Chen, C-W Lin, Y-L Chen, Optimal signal reconstruction in noisy filter bank systems: multirate Kalman synthesis filtering approach. IEEE Transactions on Signal Processing 43(11), 2496–2504 (1995). Publisher Full Text OpenURL

  14. B-S Chen, C-W Lin, Optimal design of deconvolution filters for stochastic multirate signal systems. Signal Processing 47(3), 287–305 (1995). Publisher Full Text OpenURL

  15. C-W Lin, B-S Chen, State space model and noise filtering design in transmultiplexer systems. Signal Processing 43(1), 65–78 (1995). Publisher Full Text OpenURL

  16. Y-M Cheng, B-S Chen, L-M Chen, Minimax deconvolution design of multirate systems with channel noises: a unified approach. IEEE Transactions on Signal Processing 47(11), 3145–3149 (1999). Publisher Full Text OpenURL

  17. B-S Chen, C-L Tsai, Y-F Chen, Mixed filtering design in multirate transmultiplexer systems: LMI approach. IEEE Transactions on Signal Processing 49(11), 2693–2701 (2001). Publisher Full Text OpenURL

  18. P Gahinet, A Nemirovski, AJ Laub, M Chilali, LMI Control Toolbox—for Use with MATLAB The MathWorks, Natick, Mass, USA, 1995

  19. N Al-Dhahir, JM Cioffi, Optimum finite-length equalization for multicarrier transceivers. IEEE Transactions on Communications 44(1), 56–64 (1996). Publisher Full Text OpenURL

  20. S Boyd, L El Ghaoui, E Feron, V Balakrishnan, Linear Matrix Inequalities in System and Control Theory (SIAM, Philadelphia, Pa, USA, 1994)

  21. LC Chu, M Brooke, A study on multiuser DSL channel capacity with crosstalk environment. Proceedings of the IEEE Pacific Rim Conference on Communications, Computers and signal Processing (PACRIM '01), August 2001, Victoria, BC, Canada 1, 176–179

  22. C Zhang, Y Liao, A sequentially operated periodic FIR filter for perfect reconstruction. Circuits, Systems, and Signal Processing 16(4), 475–486 (1997). Publisher Full Text OpenURL