# Probability Of Error In Mmse Multiuser

Maximum non-Gaussianness (nats) of the MMSE **decision statisticfor worst case received** amplitudes. (Two-user channel with normalizedcrosscorrelation.)Since is a monotone increasing function, we need to ﬁndthat maximizes (94). Institutional Sign In By Topic Aerospace Bioengineering Communication, Networking & Broadcasting Components, Circuits, Devices & Systems Computing & Processing Engineered Materials, Dielectrics & Plasmas Engineering Profession Fields, Waves & Electromagnetics General However, since the MMSE criterion isnot directly related to error probability or to the distributionof the background noise, it is of considerable interest to studythe error-probability performance of MMSE detectors in Theory, vol. check my blog

IT-14,pp. 563–568, July 1968.[13] S. Lupas and S. POOR AND VERD´U: PROBABILITY OF ERROR IN MMSE MULTIUSER DETECTION 861The Gaussian approximation to substitutes the binomialdistribution ofby a Gaussian distributionwith identical varianceto yield(20)From (19) and (20) we can expect the Communications2005Highly Influenced2 ExcerptsNew approach for coded layered space-time OFDM systemsHeunchul Lee, Inkyu LeeICC2005Highly Influenced3 ExcerptsIndirectly estimated adaptive detectors for code-division multiple-access signalsNicolaos B.

These results implied that, under varioussuch asymptotes, the non-Gaussian portion of the MAI-plus-noise (i.e.,vanishes, thereby yielding aGaussian distribution for the overall interference term. Poor and J. morefromWikipedia Tools and Resources Save to Binder Export Formats: BibTeX EndNote ACMRef Share: | Contact Us | Switch to single page view (no tabs) **Javascript is not enabled and is required

- B.
- Another common one is in a modem, which is a contraction of the terms modulator/demodulator.
- Fact 1).We now consider each of the cases of the propositionseparately.2refers to the coefﬁcient corresponding to the th user; i.e.,theth component ofCase 1 ( ): It is clear that and, therefore,converges
- Interestingly, we prove that by properly design the Iterative LMMSE detection, it can achieve (i) the optimal capacity of symmetric MIMO-NOMA system, (ii) the optimal sum capacity of asymmetric MIMO-NOMA system,
- Numbers correspond to the affiliation list which can be exposed by using the show more link.
- Among the ﬁrst advances in this area was thedevelopment of multiuser detectors that are optimum in thesense of minimizing error probability or maximizing likelihood[13].
- CioffiIEEE Trans.

Section Vexamines the two-user **case in more detail,** as noted above.Finally, Section VI contains some concluding remarks.II. For this asymptotic condition, the MMSE detector outperforms the decorrelating detector only if the value of normalized cross-correlation (NCC) for any pair of code sequence is less than or equal to Notethat this two-user case should, in the context of the Gaussianapproximation, be an unfavorable case since the binomiallydistributed MAI is binary in the two-user case.Recall from Section II that the output As a point of comparison, ifand dB, the non-Gaussianness of the conventionalreceiver output is 0.12 nats, whereas the non-Gaussianness ofthe MMSE receiver output isnats.

POOR AND VERD´U: PROBABILITY OF ERROR IN MMSE MULTIUSER DETECTION 867B. However, we conjecture that the maximumnon-Gaussianness is very close to that obtained withonly one active interferer. Please enable JavaScript to use all the features on this page. https://www.researchgate.net/publication/3079261_Probability_of_error_in_MMSE_multiuser_detection Englewood Cliffs, NJ: Prentice-Hall, 1980.[5] R.

Commun., vol. 42, pp.3178–3188, Dec. 1994.[7] R. Use of this web site signifies your agreement to the terms and conditions. Verd´u, “Linear multiuser detectors for synchronouscode-division multiple-access channels,” IEEE Trans. Finally, a practical Iterative LMMSE detection design is also proposed for the general asymmetric MIMO-NOMA systems.

Prelov, and S. Discover More Verd´u, “Sensitivity of channelcapacity,” IEEE Trans. However, it is generally considered to be suboptimal and achieves relatively poor performance due to its sub-optimal detector. The results shown are averaged over 100 randomsignature sequences and, in the case of no power control,100 random choices for the amplitudes.

In this section, we examine theasymptotic behavior of the relative MAI(60)in this limit. click site Reading, MA:Addison-Wesley, 1987.[2] K. Madhow and M. POOR AND VERD´U: PROBABILITY OF ERROR IN MMSE MULTIUSER DETECTION 871[4] T.

INTRODUCTIONMULTIUSER detection refers to the process of demodu-lating one or more user data streams from a nonorthog-onal multiplex. While for the conventional detector the **Gaussianapproximation is quite loose for all** but very low signal-to-noise ratios, the exact and Gaussian approximation curves areindistinguishable in the MMSE case. In thepreceding section, we considered the behavior of the ratiosfor ﬁxed under several asymptotic conditions involvingsignal-to-noise ratios. news Verd´u, “Minimum probability of error for asynchronous Gaussianmultiple-access channels,” IEEE Trans.

S. The system returned: (22) Invalid argument The remote host or network may be down. OpenAthens login Login via your institution Other institution login doi:10.1016/j.dsp.2005.04.010 Get rights and content AbstractThe minimum-mean-square-error (MMSE) linear multiuser detector considers multiple access interference (MAI) and background Gaussian noise asymptotically Gaussian

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Vincent Poor, Sergio VerdúIEEE Trans. Thomas, Eds.Greenwich, CT: JAI Press, 1993.[15] Z. The system returned: (22) Invalid argument The remote host or network may be down. HonigIEEE Trans.

IT-32, pp.85–96, Jan. 1986.[14], “Multiuser Detection,” in Advances in Statistical Signal Pro-cessing—Vol. 2: Signal Detection, H. Inform. To illustrate this point consider Fig. 1, which comparesthe error probabilities of the conventional detector and theMMSE detector in the case of eight synchronous equal-power users, where all normalized crosscorrelations are http://spamdestructor.com/probability-of/probability-of-error.php It is furtherproved in this two-user case that the probability of error of theMMSE detector is better than that of the decorrelating lineardetector for all values of normalized crosscorrelations not greaterthanIndex

Use of this web site signifies your agreement to the terms and conditions. Inform.Theory, vol. 43, July 1997.[9] M. Theory, vol. 41, pp. 944–960, July 1995. V.

RushforthIEEE Journal on Selected Areas in Communications19901 ExcerptLinear multiuser detectors for synchronous code-division multiple-access channelsRuxandra Lupas, Sergio VerdúIEEE Trans. Thus adaptive forms of this detector areamong the most likely candidates for practical application ofmultiuser detection. Note that the MMSE detector appears fromthese calculations to be exceptionally robust, in contrast tothe conventional detector, which can reliably support only afew users. In particular, the behavior of the multiple-access interference (MAI) at the output of the MMSE detector is examined under various asymptotic conditions, including: large signal-to-noise ratio; large near-far ratios; and large

Theory, vol. V.