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By Piero Castoldi

An authoritative, state-of-the-art source that offers you an intensive figuring out of CDMA transmission and detection. bargains functional suggestions in designing interference-reducing multi-user receivers for cellular radio platforms and multi-user adaptive modems for gaining access to satellite tv for pc earth stations.

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FJT ðiÞ ð1:61Þ ðJP Â 1Þ ð1:59Þ We can finally write ~ ðiÞ~aðiÞ þ vðiÞ yðiÞ ¼ ~f T ðiÞC ð1:62Þ It is useful to define the bidimensional row vector as 4 ~ j ðiÞ g~jT ðiÞ ¼ ~fjT ðiÞC ð1:63Þ 23 Introduction and CDMA Models and the ð2J Â 1Þ-dimensional vector as h iT 4 g~ðiÞ ¼ g~1T ðiÞ; g~2T ðiÞ; . . ; gTJ ðiÞ ð1:64Þ Finally, it is easy to see ~ ðiÞ g~T ðiÞ ¼ ~f T ðiÞC ð1:65Þ so that we can rewrite yðiÞ as follows: yðiÞ ¼ g~T ðiÞ~aðiÞ þ vðiÞ ð1:66Þ 4 ~ ~ðiÞ ¼ Using the definition of the JP -dimensional vector b CðiÞ~aðiÞ, we can write ~ðiÞ þ vðiÞ yðiÞ ¼ ~f T ðiÞb ð1:67Þ where it is easy to show that h iT 4 ~T ~T ðiÞ; .

Louis, MO, May 1991. pp. 57–62. org. , Signal Processing Applications in CDMA Communications, Norwood, MA: Artech House, 2000. 28 Multiuser Detection in CDMA Mobile Terminals [9] Peterson, R. , R. E. Ziemer, and D. E. Borth, Introduction to Spread Spectrum Communications, Upper Saddle River, NJ: Prentice Hall, 1995. , and A. J. Viterbi, ‘‘Two Different Philosophies in CDMA—A Comparison,’’ Proceedings of the IEEE Vehicular Technology Conference (VTC ’96), Atlanta, GA, April–May 1996, pp. 869–873.

31 32 Multiuser Detection in CDMA Mobile Terminals f ðt Þ ¼ pðt Þ Ã qðt Þ. If the timing of the desired user is perfectly known, we ~ ¼ f ð0Þ is can exploit symbol-spaced Nyquist sampling of f ðt Þ. Hence, F actually a scalar, and the scalar chip observation is given by $ J X J X i bj ðiÞ þ vðiÞ ¼ f ð0Þ cj ðji À 1jQj Þaj ðnÞ þ vðiÞ n ¼ yðiÞ ¼ f ð0Þ Q j j¼1 j¼1 % ð2:1Þ Therefore, in this case FðN Þ ¼ f ð0ÞIN , where IN is the identity matrix of order N and the observation vector of length N can be written as y ðN Þ ðiÞ ¼ f ð0Þ J X ðN Þ Cj ðiÞa ðN Þ ðiÞ þ vðN Þ ðiÞ ¼ f ð0Þ j¼1 ¼ J X J X ðN Þ bj ðiÞ þ v ðN Þ ðiÞ j¼1 ðN Þ ðN Þ aj ðiÞ þ v ðN Þ ðiÞ ð2:2Þ Gj j¼1 In this case the optimal observation window has width N ¼ Q , where Q is the maximum spreading factor among those in use.

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