A new method is developed for evaluating the error probability (Pe) for Direct Sequence, Code Division Multiple Access (DS\/CDMA) wireless systems that includes the e\ufb00ects of shadowing and fading. The method is based on saddle point integration (SPI) of the test statistic\u2019s moment generating function (MGF) in the complex plane. The SPI method is applicable to both ideal and wireless channels. For wireless channels, a Pade approximation (PA) of the MGF, which is derived from the moments of the channel\u2019s shadowing and fading distributions, allows e\ufb03cient evaluation of the Pe. The SPI method can be used to model independent channels using separate shadowing and fading moments for each individual channel. The relative error between the probability density function (PDF) of the composite variate representing log-normal shadowing and Rayleigh fading and the PDF found from the inverse Laplace transform of the PA is negligible. Results show that log-normal shadowing increases the Pe by 100% to 1000% compared to channels exhibiting fading only.<\/p>\n","protected":false},"excerpt":{"rendered":"
A new method is developed for evaluating the error probability (Pe) for Direct Sequence, Code Division Multiple Access (DS\/CDMA) wireless systems that includes the e\ufb00ects of shadowing and fading. The method is based on saddle point integration (SPI) of the test statistic\u2019s moment generating function (MGF) in the complex plane. 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