Asynchronous CDMA systems with random spreadingpart I: Fundamental limits

Cottatellucci L, Müller R, Debbah M (2010)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 56

Pages Range: 1477-1497

Article Number: 5437424

Journal Issue: 4

DOI: 10.1109/TIT.2010.2040890

Abstract

Spectral efficiency for asynchronous code division multiple access (CDMA) with random spreading is calculated in the large system limit allowing for arbitrary chip waveforms and frequency-flat fading. Signal-to-interference and noise ratios (SINRs) for suboptimal receivers, such as the linear minimum mean square error (MMSE) detectors, are derived. The approach is general and optionally allows even for statistics obtained by undersampling the received signal. All performance measures are given as a function of the chip waveform and the delay distribution of the users in the large system limit. It turns out that synchronizing users on a chip level impairs performance for all chip waveforms with bandwidth greater than the Nyquist bandwidth, e.g., positive roll-off factors. For example, with the pulse shaping demanded in the UMTS standard, user synchronization reduces spectral efficiency up to 12% at 10 dB normalized signal-to-noise ratio. The benefits of asynchronism stem from the finding that the excess bandwidth of chip waveforms actually spans additional dimensions in signal space, if and only if the users are desynchronized at chip-level. The analysis of linear MMSE detectors shows that the limiting interference effects can be decoupled both in the user domain and in the frequency domain such that the concept of effective interference spectral density arises. This generalizes and refines Tse and Hanly's concept of effective interference. In Part II, the analysis is extended to any linear detector that admits a representation as multistage detector and guidelines for the design of low complexity multistage detectors with universal weights are provided. © 2006 IEEE.

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APA:

Cottatellucci, L., Müller, R., & Debbah, M. (2010). Asynchronous CDMA systems with random spreadingpart I: Fundamental limits. IEEE Transactions on Information Theory, 56(4), 1477-1497. https://dx.doi.org/10.1109/TIT.2010.2040890

MLA:

Cottatellucci, Laura, Ralf Müller, and Merouane Debbah. "Asynchronous CDMA systems with random spreadingpart I: Fundamental limits." IEEE Transactions on Information Theory 56.4 (2010): 1477-1497.

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