Closed‐form generalised power correlation coefficient of Ricean channels

Mendes, José Ricardo Pelaquim; Yacoub, M.D.; Costa, Daniel Benevides da

doi:10.1002/ett.1150

Cited by 4 publications

(8 citation statements)

References 7 publications

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“…It is worth to mention that denotes correlation coefficient of underlying Gaussian RVs. Relation between such correlation coefficient, and power correlation coefficient of Ricean channels can be found in [14]. In Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

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Performance analysis of switched diversity over correlated Ricean fading channels

Pejanović-Djurišić

Delibasic

2011

2011 2nd International Conference on Wireless Communication, Vehicular Technology, Information Theory and Aerospace &Amp; Elect

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In this paper the performance of dual branch switch and stay (SSC) diversity receivers over correlated and nonidentical Ricean fading channels is analyzed. For that purpose, a new model, based on linear transformation of correlated Ricean random variables into uncorrelated ones, is proposed. In that manner, it is enabled to apply standard procedure for performance analysis of uncorrelated signals. Probability density function (PDF), cumulative density function (CDF) and moment generating function (MGF) of the signal at the output of diversity combiner are derived. Furthermore, outage probability and bit error rate, assuming BPSK (Binary Phase Shift Keying) mapping of the input data, of the considered dual diversity system are determined.

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Section: Numerical Results and Discussionmentioning

confidence: 97%

“…Substituting (14) in (12), CDF of the SSC output can be written solely in terms of the individual branches' CDFs as: T T T T T T T SSC T T T T T T T T …”

Section: B Switch and Stay Diversitymentioning

confidence: 99%

Performance analysis of switched diversity over correlated Ricean fading channels

Pejanović-Djurišić

Delibasic

2011

2011 2nd International Conference on Wireless Communication, Vehicular Technology, Information Theory and Aerospace &Amp; Elect

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“…as described in [14] [15]. Cross-correlated Ricean fading signals of this sort can be readily simulated using techniques such as those described in [16].…”

Section: Concept and Methodologymentioning

confidence: 99%

Depolarization of Propagating Signals by Narrowband Ricean Fading Channels

Sivertsen

Liou

Michelson

2008

VTC Spring 2008 - IEEE Vehicular Technology Conference

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In many cases of practical interest, the angle of arrival distribution at the receiver is sufficiently narrow that one can use knowledge of the mean received signal levels, Ricean K-factors and the cross-correlation coefficient that characterize fading signals observed on orthogonally polarized diversity branches to predict the first-order statistics of polarization state dispersion. This allows one to use simple power-only measurements of narrowband polarization diversity to predict the performance of alternative polarization diversity schemes or polarization adaptive antennas in realistic environments. Moreover, our results offer a useful geometric interpretation of how decorrelation between polarization diversity branches arises: As the angular spread of the polarization state distribution on the Poincaré sphere broadens, the correlation between branches decreases. However, knowledge of the angular spread alone is not sufficient to predict the cross-correlation coefficient; the Ricean K-factors on the branches must be known as well. Otherwise, the analogy to a similar relationship between the angle of arrival distribution and correlation between branches in space diversity is striking.

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“…In [11], p. 51 the coherence bandwidth B c is defined for ϱ e,Cov (Δω, Δt) = 0.5. From the numerical evaluation of ( 22) this condition is achieved at λ c = 0.725 with (A15) and the approximation in (24) for practical applications [11], p. 51. For λ c = 0.725 the normalized cross correlation function ϱ e,CCF (Δω, Δt) = 0.893.…”

Section: Coherence Bandwidth Of the Rayleigh Channelmentioning

confidence: 99%

“…The covariance ϱ e,Cov (Δω, Δt) is independent of the Rice factor K ′ (corresponding to [24]), where the normalized crosscorrelation function depends on K ′ . However, with increasing K ′ the different representations of the random processes r 1 and r 2 are increasingly similar and for K ′ → ∞ both are the same, i.e., the correlation between r 1 and r 2 tends to 1.…”

Section: Coherence Bandwidth Of the Rice Channelmentioning

confidence: 99%

Coherence Bandwidth of Rice Channels for Millimeter Wave and Sub-Terahertz Applications

Mohr

2024

WWRT

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6G research in the millimeter wave and sub-Terahertz domain is targeting very wideband systems with significantly higher data throughput than for 5G systems. Multipath propagation under shadowing conditions is affecting radio propagation, where multipath propagation results in frequency-selective fading, which is characterized by the coherence bandwidth and the time variation by the coherence time. In these frequency ranges shadowing can be overcome by additional means in the network deployment such as reflectors, RIS arrays or repeaters, which provide at the receiver a channel impulse response with a strong component (Rice type channel). Coherence bandwidth and coherence time are well-known for Rayleigh channels. However, both parameters for Rice channels versus the Rice factor K′ are not available. This paper is investigating the coherence bandwidth and time for Rice channels based on an approximative approach for the fading statistics. With the proposed correlation criterion, the coherence bandwidth and time tend to infinity from a Rice factor around K′≥4=ˆ6 dB. These relations are provided by approximative functions for K′≥0 starting at the Rayleigh channel.

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Closed‐form generalised power correlation coefficient of Ricean channels

Cited by 4 publications

References 7 publications

Performance analysis of switched diversity over correlated Ricean fading channels

Performance analysis of switched diversity over correlated Ricean fading channels

Depolarization of Propagating Signals by Narrowband Ricean Fading Channels

Coherence Bandwidth of Rice Channels for Millimeter Wave and Sub-Terahertz Applications

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