A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels

Simon, M.K.; Alouini, Mohamed‐Slim

doi:10.1109/26.737401

Cited by 176 publications

(138 citation statements)

References 58 publications

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“…These alternative representations have been used recently in several papers to compute error rates for digital modulation on fading channels (see, e.g., [7]- [11] and [12]). In particular, this approach has been used to unify performance results for a wide variety of digital signaling schemes with possible multichannel reception in [10], [11]. We establish that these unified performance analyzes can easily be extended to include correlated diversity for a general complex Gaussian fading channel model.…”

Section: Introductionmentioning

confidence: 99%

“…In this case we can usually assume that postdetection equal gain combining (EGC) is performed. Then, based on work by Simon and Alouini [10], it can be shown for a wide class of problems that the bit error probability (conditioned on ) can be written in the form where , , , and the function are as defined in [10, eq. (62)], with .…”

Section: Extensions To More General Modulation Schemesmentioning

confidence: 99%

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On performance analysis for signaling on correlated fading channels

Veeravalli

2001

IEEE Trans. Commun.

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Abstract-A general approach is presented for analyzing the performance of digital signaling with multichannel reception on correlated fading channels. The approach is based on: i) exploiting the complex Gaussian model for the joint distribution of the fading on the multiple channels; and ii) applying recent results on the unified performance analysis of digital signaling on fading channels using alternative representations of the ( ) and related functions. Numerical results that illustrate the effect of correlation on the diversity gain from multichannel reception are also presented.

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Section: Introductionmentioning

confidence: 99%

Section: Extensions To More General Modulation Schemesmentioning

confidence: 99%

On performance analysis for signaling on correlated fading channels

Veeravalli

2001

IEEE Trans. Commun.

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“…By using the BER expression for two-channel DMPSK in [1], the conditional BER is given by (11) where (12) and (13) Here, is a constant in which and depend on modulation size, specifically, and for DBPSK modulation and and for DQPSK modulation [1]. The values of and for larger modulation sizes can be obtained by using the result in [9].…”

Section: Introductionmentioning

confidence: 99%

“…In differential phase-shift keying (DPSK) [1], efficient decoding relies on constant phase response of the channel from one time sample to the next. Due to the ability to bypass channel estimation at the receiver, the DPSK has been naturally extended to further exploit spatial diversity in the multiple-input multiple-output (MIMO) system [2], [3].…”

Section: Introductionmentioning

confidence: 99%

Differential transmission for amplify-and-forward Cooperative communications

Himsoon

Liu

2005

IEEE Signal Process. Lett.

121

133

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Abstract-In this letter, we propose a differential amplify-andforward (AF) transmission scheme for a two-user cooperative communications system. By efficiently combining signals from both direct and relay links, the proposed scheme provides superior performance compared to those of direct transmissions with either differential detection or coherent detection. While the exact biterror-rate (BER) formulation of the proposed scheme is not available currently, we provide, as a performance benchmark, an exact BER formulation and its simple bounds for a case of optimumcombining cooperation system with differential M-ary phase-shift keying (DMPSK) signals. The optimum power allocation is also determined based on the provided BER formulations. We show that the proposed differential cooperative transmission scheme together with the optimum power allocation yields comparable performance to the optimum-combining scheme. Simulation results show that the proposed differential scheme with optimum power allocation yields significant performance improvement over that with an equal power allocation scheme.

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“…On the other hand, since in our performance analysis the maximum-ratio-combining (MRC) scheme is assumed to be employed at the BS to combine the signals potentially forwarded by multiple RSs and the signal transmitted from the source MS prior to the CDD, the received SNR per bit after the MRC stage is simply the sum of that of each combined path, which is expressed as (6) Therefore, the unconditional BER of the scenario can be computed by averaging the conditional BER over the fading distribution of the SNR per bit at the output of the MRC with the aid of its PDF as follows [11]: (9) with and , respectively, denoting the PDF of the received SNR per bit for the direct link and for the relay-to-destination link. In parallel, the unconditional BER of the scenario can be obtained as (10) (11) where the MGF of the received SNR per bit recorded at the BS for the scenario is written as (12) Finally, in the light of (3), the unconditional worst-case end-to-end BER can be computed as (13) Similarly, the BER upper bound can also be attained for the selective DDF-aided system using RSs.…”

Section: A Theoretical Analysis Of the Ddf-aided Cooperative Uplinkmentioning

confidence: 99%

The Resource-Optimized Differentially Modulated Hybrid AF/DF Cooperative Cellular Uplink Using Multiple-Symbol Differential Sphere Detection

Wang

Hanzo

2009

IEEE Signal Process. Lett.

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Abstract-In multiuser cellular uplinks, cooperating mobiles may share their antennas in order to achieve transmit diversity by formig a virtual antenna array (VAA) in a distributed fashion. In this paper, based on the minimum BER criterion, we investigate cooperating-user-selection (CUS) and adaptive-power-allocation (APA) for two types of differentially modulated cooperative cellular uplinks requiring no channel state information (CSI) at the receiver, namely, for the differential-amplify-and-forward (DAF) and the selective differential-decode-and-forward (DDF) assisted systems. They both employ multiple-symbol differential sphere detection (MSDSD) to combat rapid-fading-induced performance degradation. More specifically, we investigate the cooperative-protocol-selection (CPS) of the uplink system in conjunction with a beneficial CUS as well as the APA scheme in order to further improve the achievable end-to-end performance, leading to a resource-optimized hybrid AF/DF cooperative system. Index Terms-Cooperative cellular uplink, cooperative resource optimization, , hybrid cooperative protocol, multiple-symbol differential sphere detection.

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A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels

Cited by 176 publications

References 58 publications

On performance analysis for signaling on correlated fading channels

On performance analysis for signaling on correlated fading channels

Differential transmission for amplify-and-forward Cooperative communications

The Resource-Optimized Differentially Modulated Hybrid AF/DF Cooperative Cellular Uplink Using Multiple-Symbol Differential Sphere Detection

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