Statistical characterization of multiple-input multiple-output (MIMO) channel capacity

Ge, Hongya; Wong, Kai-Kit; Barton, MH; Liberti, J.C.

doi:10.1109/wcnc.2002.993369

Cited by 14 publications

(8 citation statements)

References 2 publications

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“…The level density of the eigenvalues is presented in terms of a series consisting of associated Laguerre polynomials and is used in the calculation of Shannon channel capacity. The higher order correlation functions will be useful in studying the distribution of the channel capacity [30], [31], [32], [33].…”

Section: Discussionmentioning

confidence: 99%

Random Matrix Model for Nakagami–Hoyt Fading

Kumar

Pandey

2010

IEEE Trans. Inform. Theory

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Abstract-Random matrix model for the Nakagami-q (Hoyt) fading in multiple-input multiple-output (MIMO) communication channels with arbitrary number of transmitting and receiving antennas is considered. The joint probability density for the eigenvalues of H † H (or HH † ), where H is the channel matrix, is shown to correspond to the Laguerre crossover ensemble of random matrices and is given in terms of a Pfaffian. Exact expression for the marginal density of eigenvalues is obtained as a series consisting of associated Laguerre polynomials. This is used to study the effect of fading on the Shannon channel capacity. Exact expressions for higher order density correlation functions are also given which can be used to study the distribution of channel capacity.

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Section: Discussionmentioning

confidence: 99%

Random Matrix Model for Nakagami–Hoyt Fading

Kumar

Pandey

2010

IEEE Trans. Inform. Theory

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“…For example, by assuming that the instantaneous channel capacity is a random variable, the PDF and the statistical moments of the instantaneous channel capacity have been derived in [18]. Moreover, by describing the instantaneous channel capacity as a discrete-time or a continuous-time stochastic process, the LCR and ADF of the instantaneous channel capacity have been studied in [19].…”

Section: Introductionmentioning

confidence: 99%

On the first- and second-order statistics of the capacity of N*Nakagami-m channels for applications in cooperative networks

Rafiq

Hogstad

Pätzold

2012

J Wireless Com Network

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This article deals with the derivation and analysis of the statistical properties of the instantaneous channel capacity a of N*Nakagami-m channels, which has been recently introduced as a suitable stochastic model for multihop fading channels. We have derived exact analytical expressions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the instantaneous channel capacity of N*Nakagami-m channels. For large number of hops, we have studied the first-order statistics of the instantaneous channel capacity by assuming that the fading amplitude of the channel can approximately be modeled as a lognormal process. Furthermore, an accurate closed-form approximation has been derived for the LCR of the instantaneous channel capacity. The results are studied for different values of the number of hops as well as for different values of the Nakagami parameters, controlling the severity of fading in different links of the multihop communication system. The results show that an increase in the number of hops or the severity of fading decreases the mean channel capacity, while the ADF of the instantaneous channel capacity increases. Moreover, an increase in the severity of fading or the number of hops decreases the LCR of the instantaneous channel capacity of N*Nakagami-m channels at higher levels. The converse statement is true for lower levels. The presented results provide an insight into the influence of the number of hops and the severity of fading on the instantaneous channel capacity, and hence they are very useful for the design and performance analysis of multihop communication systems.

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“…The Suzuki process is generated by taking the product of a Rayleigh and a lognormal process [14]. The analysis of the PDF, CDF, LCR, and ADF of the channel capacity of fast fading channels, like Rayleigh channels can be found, e.g., in [2][3][4], [15], [16]. However, there is a lack of information regarding the combined effects of shadowing and fast fading on the channel capacity.…”

Section: Introductionmentioning

confidence: 99%

A Study of the Influence of Shadowing on the Statistical Properties of the Capacity of Mobile Radio Channels

Rafiq

Pätzold

2008

Wireless Pers Commun

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Abstract. This paper 1 studies the influence of shadowing on the statistical properties of the channel capacity. The problem is addressed by using a Suzuki process as an appropriate statistical channel model for land mobile terrestrial channels. Using this model, exact solutions for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades (ADF) of the channel capacity are derived. The results are studied for different levels of shadowing, corresponding to different terrestrial environments. It is observed that the shadowing effect has a significant influence on the variance and the maximum value of the PDF and LCR of the channel capacity, but it has almost no impact on the mean capacity of the channel. The correctness of the theoretical results is confirmed by simulation using a stochastic channel simulator based on the sum-of-sinusoids principle.

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Statistical characterization of multiple-input multiple-output (MIMO) channel capacity

Cited by 14 publications

References 2 publications

Random Matrix Model for Nakagami–Hoyt Fading

Random Matrix Model for Nakagami–Hoyt Fading

On the first- and second-order statistics of the capacity of N*Nakagami-m channels for applications in cooperative networks

A Study of the Influence of Shadowing on the Statistical Properties of the Capacity of Mobile Radio Channels

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