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On chip pulse shape design for precise synchronization of DS‐CDMA systems
Author(s) -
Nossek Josef A.,
Antreich Felix
Publication year - 2007
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.434
Subject(s) - cramér–rao bound , bandlimiting , estimator , chip , multipath propagation , upper and lower bounds , synchronization (alternating current) , code division multiple access , algorithm , parametric statistics , electronic engineering , computer science , bias of an estimator , pulse (music) , mathematics , estimation theory , telecommunications , minimum variance unbiased estimator , engineering , detector , statistics , mathematical analysis , channel (broadcasting) , fourier transform
In this work, a methodology is established to design optimum chip pulse shapes which are absolutely bandlimited, their energy mainly concentrated in the chip duration, and which minimize the variance of the time‐delay estimation error of an unbiased estimator. The low‐complexity optimization method is based on the prolate spheroidal wave functions. Thus, the variational problem at hand can be transformed into a tractable parametric optimization problem. It is shown that the designed optimum chip pulse shapes significantly improve the synchronization performance of direct sequence code‐division multiple access systems by minimizing the Cramer–Rao lower bound (CRLB). The time‐delay estimation bias underthe presence of multipath is compared with the conventionally used bandlimited rectangular chip pulse shape. Copyright © 2007 John Wiley & Sons, Ltd.