Chip shaping and channel coding for CDMA

Abstract

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Asynchronous multiple-access interference suppression and chip waveform selection with aperiodic random sequences

“…In particular, we consider several common sample chip waveforms and evaluate their performance with the receiver proposed. We see that the results, although sharing some similarities with, are significantly different from those in [4], [5], [9], and [10]. These similarities and differences are explained in Section V.…”

“…First, we consider the linear MMSE estimator of given the sequence (8) By the orthogonality principle [11], is given by the solution of the following integral equation: (9) where denotes the conditional expectation given . We consider the form of solution, assuming it exists, defined by (10) and let (11) Then (12) where is the solution of…”

“…This means that the effect of the timing error can be neglected if we sample fine and long enough. 10 are the least upper bounds on the ASNR and ANFE of any receiver under the single-interferer assumption. In (33) and (34), is the Fourier transform of .…”

“…Unlike the abundant amount of work on MAI rejection, there is much less work concerning the problem of chip waveform selection in DS-CDMA systems. The chip waveform selection problem for the conventional matched filter receiver is investigated in [8]- [10]. The problem of chip waveform selection with the noise-whitening matched filter receiver is also addressed in [4] and [5].…”

A Unified Analysis of Quaternary DS-CDMA Systems with Arbitrary Chip Waveforms and Its Applications

“…(see Appendix A for proof from (23) to (24) and from (25) to (26)). The above time domain and frequency domain expressions are used for time-limited and band-limited ρ(t), respectively.…”