Effect of fading correlation on adaptive arrays in digital mobile radio

Salz, J.; Winters, J.H.

doi:10.1109/25.330168

Cited by 534 publications

(308 citation statements)

References 7 publications

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“…Codebooks are designed by using optimal MSwIP criterion, suitable for average SEP loss analysis, as explained in section 4.2. The spatially correlated channel is simulated by the correlation model in [7]: A linear antenna array with antenna spacing of half wavelength, angle of arrival φ = 0…”

Section: Numerical and Simulation Resultsmentioning

confidence: 99%

Average SEP Loss Analysis of Transmit Beamforming for Finite Rate Feedback MISO Systems with QAM Constellation

Isukapalli

Zheng

Rao

2007

2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07

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In this paper, utilizing high resolution quantization theory, we analyze the loss in average symbol error probability (SEP) for finite rate feedback MISO systems with rectangular M -QAM constellation. Assuming perfect channel estimation, no-feedback delay and error-less feedback, for spatially i.i.d and correlated channels we derive analytical expressions for loss in average SEP due to finite-rate channel quantization. We then consider the high-SNR regime and show that the loss associated with correlated case is related to the loss associated with the i.i.d case by a scaling constant given by the determinant of the correlation matrix. We also present simulation results in support of the analytical expressions.Index Terms: MISO systems, transmit beamforming, channel state information, feedback, M -QAM, channel quantization, spatial correlation1. INTRODUCTION In a multiple-input and single-output (MISO) system, if the channel state information (CSI) is available at the transmitter, one can achieve both the diversity and array gains with transmit beamforming, whereas only diversity gain can be realized with space-time coding. In this paper we focus our attention on MISO systems where CSI is conveyed from the receiver to the transmitter through a finiterate feedback link [1]- [4]. Optimum codebook design for ergodic capacity loss, a system performance metric, is proposed in [1]. In [3], the problem is studied from a source coding perspective by formulating the finite-rate quantized MISO system as a general vector quantization problem. By utilizing the high-resolution distortion analysis of the generalized vector quantizer, tight lower bounds of the ergodic capacity loss of a quantized MISO system over i.i.d and correlated fading channels with both optimal and mismatched channel quantizers were obtained [3].Average SEP, another important system performance metric, for limited set of constellations has been studied with i.i.d fading channels based on approximating the statistical distribution of the key random variable that characterizes the system performance. Specifically both [1] and [2] characterized the absolute amplitude square of the inner product between the channel direction and its quantized version as a truncated beta distribution and used it to study effect of quantization on average SEP. Similar to the capacity analysis, SEP analysis for correlated channels using such statistical methods have not met with much success. In this paper we make use of the source coding based framework developed in [3] to study the average SEP loss in correlated Rayleigh fading channels with rectangular M -QAM constellation. The application of the theory in [3] to this problem is quite involved because of the complicated dependency of the objective function on the random variables involved and the results derived here serve to validate the general nature of the theory [3]. In addition, the results provide interesting insight into the more general and useful scenario of correlated channels with a more

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Section: Numerical and Simulation Resultsmentioning

confidence: 99%

Average SEP Loss Analysis of Transmit Beamforming for Finite Rate Feedback MISO Systems with QAM Constellation

Isukapalli

Zheng

Rao

2007

2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07

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“…The normal distribution is used for modeling in this paper. In ground wireless communication system, the arrival angle of multipath signal is described by evenly distribution [9] or Laplace distribution. But in mobile satellite communication system, Laplace distribution is more suitable under testing in urban area [10], which is affected by the number and the distri- …”

Section: Analysis Of Multi-beam Spatial Correlationmentioning

confidence: 99%

Spatial Correlation Characteristics Analysis of Multi-Beam Channels of Mobile Satellite System

Su¹,

Fei²,

Cheng³

et al. 2017

IJCNS

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Due to the influence of scatterers around the receiving antenna, the multipath signal in satellite mobile communication systems is correlated with each other which would influence the system performance. There is no systematic standard on the channel modelling of the wideband satellite channel at present, so the study of the modelling of the wideband satellite channel is of great importance. In this paper, firstly we created a multi-beam model which can figure out the antenna gain of the n th component beam. Secondly, we combined the characteristics of multi-beam satellite channel and the distribution of the scatterers, and set up a three-dimension random channel model. This model is more realistic for satellite communication system since it considers the height of scatterers. According to the channel models, we had the formula of spatial correlation coefficient. We used the formula to calculate the relationship between spatial correlation coefficient and the interval of antennas. The result shows that the spatial correlation exists and cannot be ignored while modeling for mobile satellite system.

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“…Some examples include the cosine-power distribution [53,54], the uniform [55], the truncated Gaussian [56,57], and the truncated Laplacian [58,59].…”

Section: Directional Model Selectionmentioning

confidence: 99%

Absolute phase in mobile channels

Ren¹,

Vaughan²

2011

Wireless Communications

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Radio channels are usually modeled as a well‐defined Rice process. The statistics of its wrapped phase (i.e., phase values in [−π,π)), such as the mean, variance, and probability density function (pdf), are known. The absolute phase, i.e., the accumulated phase change over an observation interval, is considered here as a new channel variable. Its use for channel characterization can extend to cognitively track users. However, there is very little knowledge about the statistics of the absolute phase. In fact, the known, associated effects of the absolute phase, such as various click noise contributions, are not consistently treated or interpreted in the literature. The definitions of absolute phase, based on both unwrapping and on other methods previously discussed for FM receivers, lay a basis for analysis of the mean, variance, and pdf of the absolute phase for a well‐defined Rice process. The conditions are identified for approximate pdf models to hold, and it is noted that pdfs for the absolute phase for small or medium Rice factor and small observation interval are open problems. Simulations are used to support the analysis and discussion. Copyright © 2009 John Wiley & Sons, Ltd.

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Effect of fading correlation on adaptive arrays in digital mobile radio

Cited by 534 publications

References 7 publications

Average SEP Loss Analysis of Transmit Beamforming for Finite Rate Feedback MISO Systems with QAM Constellation

Average SEP Loss Analysis of Transmit Beamforming for Finite Rate Feedback MISO Systems with QAM Constellation

Spatial Correlation Characteristics Analysis of Multi-Beam Channels of Mobile Satellite System

Absolute phase in mobile channels

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