Open AccessPerformance of wavelet based Multi‐Chip Rate DS‐CDMA signals over multi‐path Nakagami‐ m fading channels
Author(s) -
Öztürk Ertan
Publication year - 2008
Publication title -
wireless communications and mobile computing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.42
H-Index - 64
eISSN - 1530-8677
pISSN - 1530-8669
DOI - 10.1002/wcm.517
Subject(s) - chip , code division multiple access , waveform , computer science , algorithm , fading , electronic engineering , wavelet , bit error rate , nakagami distribution , telecommunications , mathematics , channel (broadcasting) , engineering , artificial intelligence , radar
Multi‐Chip Rate/Direct Sequence‐Code Division Multiple Access (MCR/DS‐CDMA) technique using scaled chip waveforms has been designed as an alternative to multi‐data rate DS‐CDMA techniques having constant chip rates. In this work, the probability of error ( P e ) expression for MCR/DS‐CDMA signals is derived over multi‐path Nakagami‐ m fading channels to investigate the effects of chip waveforms on it. This paper also proposes the use of orthogonal wavelets as chip waveforms of MCR/DS‐CDMA signals over the considered channel. For numerical calculations, Daubechies‐22 (D 22 ) wavelet is used because its side lobes are 40 dB below its main lobe in frequency domain. D 22 is compared with a Square Root Raised Cosine (SRRC) chip waveform. In the numerical calculations, only first four scales of the chip waveforms relating to four different chip/data rates are considered. The results for the P e performance and the capacity (the number of user per Hertz for a same P e level) show that D 22 significantly outperforms the SRRC chip waveform at all data rates, due to low cross correlations among different scales of orthogonal wavelets. Besides, by increasing the number of scales, the advantage of the use of orthogonal wavelets will increase furthermore. Copyright © 2007 John Wiley & Sons, Ltd.