WiMax PLL's FIR Filter Design Using LMIs

WiMax technology evolved greatly over the last decade. Using optimization techniques to improve the behavior of filters in phase-locked loop (PLL) in terms of overshoot and setlling time is a challenging task. This paper introduces a new PLL's loop filter design methodology that meets mobile WiMax design objectives such as small settling time, minimum overshoot and working mobile WiMax frequency range. LMI optimization based on semidefinite programmimg is used for FIR filter design to optimize conflicting objectives. The obtained results are compared with linear programming results. The LMI results outperformed results of linear programming and other comparable designs.

[1]  Klaus Preuss,et al.  On the design of FIR filters by complex Chebyshev approximation , 1989, IEEE Trans. Acoust. Speech Signal Process..

[2]  Stephen P. Boyd,et al.  FIR filter design via semidefinite programming and spectral factorization , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[3]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[4]  Roland E. Best Phase-Locked Loops , 1984 .

[5]  Stefan Parkvall,et al.  LTE physical layer , 2007 .

[6]  Yung-Shan Chou,et al.  A Novel Loop Filter Design for Phase-Locked Loops , 2006, 2006 IEEE International Conference on Systems, Man and Cybernetics.

[7]  Eby G. Friedman,et al.  Design and simulation of Fractional-N PLL frequency synthesizers , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[8]  Roland E. Best Phase-locked loops : design, simulation, and applications , 2003 .