An Approximated Gaussian Analysis and Results on the Capacity Distribution for MIMO-OFDM

Suraweera, Himal A.; Ho, J.T.Y.; Sivahumaran, T.; Armstrong, Jean

doi:10.1109/pimrc.2005.1651429

Cited by 9 publications

(12 citation statements)

References 15 publications

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“…Various works [12] [13] have shown that the instantaneous data rate of a user in a Rayleigh fading, multiple-input-multiple-output (MIMO) wireless system could be more accurately approximated by a Gaussian distribution. Simulation results presented in [13] verified that the Gaussian approximation itself is surprisingly accurate for virtually all values of t, r, where t, r are the number of transmit antennas and receive antennas of each user, respectively.…”

Section: B Gaussian Approximation Methodsmentioning

confidence: 99%

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Proportional Fair Scheduling: Analytical Insight under Rayleigh Fading Environment

Liu

Leung

2008

2008 IEEE Wireless Communications and Networking Conference

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Abstract-This paper provides analytical expressions to evaluate the performance of a random access wireless network in terms of user throughput and network throughput, subject to the constraint of proportional fairness amongst users. The proportional fair scheduling (PFS) algorithm is considered an attractive bandwidth allocation criterion in wireless networks for supporting high resource utilization while maintaining good fairness among network flows. The most challenge of a PFS problem is the lack of analytic expression. Though the PFS algorithm has been a research focus for some time, the results are mainly obtained from computer simulations. It is known that a PFS problem is NP-hard and, until recently, there are very few papers which give analytic insights into the PFS algorithm. Typically, existing works use simplified form of the PF preference metric and assume simple linear model, or the given analytic expression is valid only for very limited cases. In this research, we give analytical results of the PFS algorithm by providing closed-form expressions for the throughput in Rayleigh fading networks. We use Gaussian approximation method to model the feasible data rate in Rayleigh fading environments. Results obtained from the simulation and numerical analysis verifies the high accuracy of the closed-form expressions given in the paper. In particular, the analytic expressions given here will provide great help for the system design of a PFS-enable network, not only in that it is obtained from more realistic rate model, but also it applies to various kinds of network scenarios.

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Section: B Gaussian Approximation Methodsmentioning

confidence: 99%

“…APPROXIMATION In this section, we first described the principles of the PFS algorithm, then the Gaussian approximation [12] [13] to the instantaneous data rate is outlined.…”

Section: Proportional Fair Scheduling and Gaussianmentioning

confidence: 99%

Proportional Fair Scheduling: Analytical Insight under Rayleigh Fading Environment

Liu

Leung

2008

2008 IEEE Wireless Communications and Networking Conference

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“…4 presents the analytical Gaussian approximation for the MIMO-OFDM mutual information p.d.f. based on the exact mean and variance expressions in (17) and (1) respectively, as well as empirically generated p.d.f.s (Monte- Carlo histogram), for different antenna configurations. A 64-subcarrier system is considered with SNR of 20 dB.…”

Section: Approximations For the Capacity Distributionmentioning

confidence: 99%

“…As such, the investigation of outage capacity has usually been performed using simulation studies [10,17]. It appears that the only current analytical outage capacity results for frequency-selective MIMO channels are presented in [18] and [19]; both of which derived a Gaussian approximation to the mutual information using asymptotic methods.…”

Section: Introductionmentioning

confidence: 99%

Accurate Approximations for the Capacity Distribution of OFDM-Based Spatial Multiplexing

McKay

Smith

Suraweera

et al. 2007

2007 IEEE International Conference on Communications

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Abstract-We derive new analytic approximations to the capacity distribution of frequency-selective Rayleigh fading MIMO channels. The results apply specifically to OFDM-based spatial multiplexing. In particular, we present a new closed-form Gaussian approximation which yields very high accuracy in many scenarios. For the low SNR regime, we also present a new simpler closed-form Gamma approximation, which we show to be even more accurate than Gaussian in this case. Our approximations are based on new exact closed-form expressions which we derive for the variance of the mutual information which, in contrast to previous results, apply for systems with both arbitrary numbers of antennas and arbitrary-length channel delay profiles.

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“…As such, the investigation of outage capacity has usually been performed using simulation studies [19], [29], [30]. It appears that the only current analytical outage capacity results for frequency-selective channels are presented in [31]- [33], all of which derive a Gaussian approximation for the mutual information distribution.…”

Section: Introductionmentioning

confidence: 99%

On the Mutual Information Distribution of OFDM-Based Spatial Multiplexing: Exact Variance and Outage Approximation

McKay

Smith

Suraweera

et al. 2008

IEEE Trans. Inform. Theory

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An Approximated Gaussian Analysis and Results on the Capacity Distribution for MIMO-OFDM

Cited by 9 publications

References 15 publications

Proportional Fair Scheduling: Analytical Insight under Rayleigh Fading Environment

Proportional Fair Scheduling: Analytical Insight under Rayleigh Fading Environment

Accurate Approximations for the Capacity Distribution of OFDM-Based Spatial Multiplexing

On the Mutual Information Distribution of OFDM-Based Spatial Multiplexing: Exact Variance and Outage Approximation

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