分数延迟混合滤波器组的范数最小化设计方法

doi:10.3969/j.issn.1001-2400.2014.05.011

J4 ›› 2014, Vol. 41 ›› Issue (5): 61-66+111.doi: 10.3969/j.issn.1001-2400.2014.05.011

• Original Articles • Previous Articles Next Articles

Design of hybrid filter banks with fractional delays using mixed norm performance measures

WANG Wei;ZHANG Zijing

(National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an 710071, China)

Received:2013-05-17 Online:2014-10-20 Published:2014-11-27
Contact: WANG Wei E-mail:wangweidaiyu@163.com

Abstract

Abstract:

A mixed norm performance measure is presented to design finite impulse response (FIR) digital synthesis filters of hybrid filter banks with fractional delays. The mixed norm performance measure is based on the peak value as well as the energy of the error signal. The FIR filters are designed to minimize the performance measure of a hybrid error system. This hybrid and multirate problem is reduced to a mixed norm optimization problem involving only the linear time-invariant, discrete-time system. The theory of linear matrix inequalities offers a tractable solution to such a synthesis problem. Numerical experiments show that the proposed approach yields a better performance compared to existing techniques.

Key words: hybrid filter bank, mixed norm, linear matrix inequality

WANG Wei;ZHANG Zijing. Design of hybrid filter banks with fractional delays using mixed norm performance measures[J].J4, 2014, 41(5): 61-66+111.

References

［1］ Papoulis A. Generalized Sampling Expansion ［J］. IEEE Transactions on Circuits and Systems, 1977, 24(11): 652-654.
［2］王亚军, 李明. TIADC通道误差自适应修正方法［J］. 西安电子科技大学学报, 2013, 40(3): 27-35.
Wang Yajun, Li Ming. Novel Adaptive Method Based on the Taylor Series to Compensate Channel-mismatches of TIADC ［J］. Journal of Xidian University, 2013, 40(3): 27-35.
［3］ Magalhaes J P, Vieira J M N, Gomez G R, et al. Bio-inspired Hybrid Filter Bank for Software-defined Radio Receivers ［J］. IEEE Transactions on Microwave Theory and Techniques, 2013, 61(4): 1455-1466.
［4］ Centurelli F, Monsurro P, Trifiletti A. Efficient Digital Background Calibration of Time-interleaved Pipeline Analog-to-digital Converters ［J］. IEEE Transactions on Circuits and Systems Ⅰ, 2012, 59(7): 1373-1383.
［5］ Nguyen H T, Do M N. Hybrid Filter Banks with Fractional Delays: Minimax Design and Application to Multichannel Sampling ［J］. IEEE Transactions on Signal Processing, 2008, 56(7): 3180-3190.
［6］ Nagahara M, Yamamoto Y. Optimal Design of Fractional Delay Filters ［C］//Proceedings of 42nd IEEE Conference on Decision and Control. Piscataway: IEEE, 2003: 6539-6544.
［7］ Banavar R N, Kalele A A. A Mixed Norm Performance Measure for the Design of Multirate Filterbanks ［J］. IEEE Transactions on Signal Processing, 2001, 49(2): 354-359.
［8］ Zhou K, Doyle J C, Glover K. Robust and Optimal Control ［M］. Englewood Cliffs: Prentice-Hall, 1996.
［9］ Chen T, Francis B A. Optimal Sampled-data Control Systems ［M］. London: Sprigner-Verlag, 1995.
［10］ Xia X G, Suter B W. Multirate Filter Banks with Block Sampling ［J］. IEEE Transactions on Signal Processing, 1996, 44(3): 484-496.
［11］ Ahmed S, Chen T. Minimizing the Effect of Sampling Jitters in Wireless Sensor Networks ［J］. IEEE Signal Processing Letters, 2011, 18(4): 219-222.

[1]	YU Shuiqing;LI Junmin. Mode dependent H_∞ predictive control of networked control systems under variable-period sampling [J]. J4, 2012, 39(5): 113-118+180.
[2]	GUO Gang;NIU Wensheng;MA Jianfeng. Design of the controller for nonlinear interconnected systems [J]. J4, 2011, 38(1): 142-146+183.
[3]	ZHANG Guo;LI Jun-min. Robust H_∞ control for a class of uncertain discrete fuzzy system with time-delay [J]. J4, 2009, 36(2): 353-358.

Design of hybrid filter banks with fractional delays using mixed norm performance measures

PDF (PC)

Like

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 3

Metrics

Comments

Recommended 0