A New Design of Polar-Cap Differential Codebook for Temporally/Spatially Correlated MISO Channels

Choi, Junil; Clerckx, Bruno; Lee, Namyoon; Kim, Gil

doi:10.1109/twc.2011.122211.110313

Cited by 66 publications

(60 citation statements)

References 30 publications

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“…We see that has norm smaller than unity when is sufficiently small. Using the approximation , we obtain (19) With the second order Taylor approximation, we have and . Using these approximations and ignoring the third and higher-order terms of in (19), we have the second-order approximation of in (5).…”

Section: Proof Of Lemmamentioning

confidence: 99%

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Variable-Rate Transmission for MIMO Time-Correlated Channels With Limited Feedback

Lin

2014

IEEE Trans. Signal Process.

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Abstract-In this paper we consider variable-rate transmission for time-correlated MIMO (multi-input multi-output) channels with limited feedback. The number of bits loaded on each subchannel of the MIMO system is dynamically assigned according to the current channel condition and fed back to the transmitter. As the channel is time-correlated, bit loading is a vector signal that is also time-correlated. We propose to feedback bit loading using predictive coding, which is known to be a powerful quantization technique when the underlying signal is correlated in time. Assuming the channel is a first-order Gauss-Markov random process, we derive the predictor for the bit loading to be coded and analyze the corresponding prediction error variance when the channel is varying slowly. By exploiting the prediction error variance, we adapt the quantizer of the prediction error to have a smaller quantization error. Furthermore we show that the prediction error variance is proportional to a term that depends only on the time-correlation coefficient. This leads to the conclusion that, a codebook that is designed for a particular time correlation coefficient can be easily modified to a codebook for a different correlation coefficient without redesign. Simulations are presented to demonstrate that the proposed predictive coding can achieve a very good approximation of the desired transmission rate with a very low feedback rate.Index Terms-MIMO, limited feedback, quantization of bit loading, variable rate transmission.

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Section: Proof Of Lemmamentioning

confidence: 99%

“…For a given quantization error con-straint, the minimum rate for feeding back differential channel information is derived in [18]. The design of polar-cap differential codebooks is addressed in [19] for beamforming systems. A feedback scheme that uses a differential rotation of the precoder is proposed in [20].…”

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confidence: 99%

Variable-Rate Transmission for MIMO Time-Correlated Channels With Limited Feedback

Lin

2014

IEEE Trans. Signal Process.

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“…Time-correlated channels have been considered in [19]- [25]. In [19], the precoder is fed back to the transmitter using Givens rotations for correlated MIMO channels.…”

Section: Introductionmentioning

confidence: 99%

“…In [21], a beamforming system with limited feedback is designed by modeling the quantized CSI as a finite state Markov chain. In [22]- [25], a temporally correlated channel is modeled as a first-order Gauss-Markov process. The channel capacity for such a channel is analyzed in [22].…”

Section: Introductionmentioning

confidence: 99%

Predictive Coding of Bit Loading for Time-Correlated MIMO Channels With a Decision Feedback Receiver

Lin

2015

IEEE Trans. Signal Process.

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Abstract-In this paper, we consider variable-rate transmission over a slowly varying multiple-input multiple-output (MIMO) channel with a decision feedback receiver. The transmission rate is adapted to the channel by dynamically assigning bits to the subchannels of the MIMO system. Predictive quantization is used for the feedback of bit loading to take advantage of the time correlation inherited from the temporally correlated channel. Due to the use of decision feedback at the receiver, the bit loading is related to the Cholesky decomposition of the channel Gram matrix. Assuming the channel is modeled by a slowly varying Gauss-Markov process, we show that the nested submatrices generated during the process of Cholesky decomposition can be updated as time evolves. Based on the update, we derive the optimal predictor of the next bit loading for predictive quantization. Furthermore, we derive the statistics of the prediction error, which are then exploited to design the quantizer to achieve a smaller quantization error. Simulations are given to demonstrate that the proposed predictive quantization gives a good approximation of the desired transmission rate with a low feedback rate.Index Terms-MIMO, limited feedback, differential feedback, predictive quantization, bit loading, variable rate transmission.

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“…In [11], an adaptive limited feedback linear precoding technique for temporally correlated MIMO channels has been presented by performing a differential feedback where a perturbation added to the previous precoder for adaptation to the time correlation structure. Limited feedback using a polar-cap differential codebook which utilizes the temporal correlation in MISO channels has been presented in [12].…”

Section: Introductionmentioning

confidence: 99%

Feedback channel designs for fair scheduling in MISO–OFDMA systems

Özbek

Ruyet

2012

J Wireless Com Network

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In the next generation of wireless communication, adaptive resource allocation techniques will play an important role to improve quality of service and spectral efficiency. In order to employ adaptive fairness scheduling for multiple-input single-output (MISO) orthogonal frequency-division multiple access (OFDMA), the channel state information (CSI) belonging to all users is required at the base station. However, the amount of feedback increases with the number of users, transmit antennas and subchannels. Therefore, it is important to perform a user selection at the receiver side without cooperation among the users and to quantize the CSI. In this article, the reduced feedback channel designs are examined for MISO-OFDMA systems while providing fairness between the users. In order to reduce the feedback rate, we choose the users considering their norm and orthogonality properties as well as their location in the cell. In order to limit the feedback rate, channel direction information is quantized by designing a specific codebook thanks to the proposed criterion. We obtain an expression to determine the amount of required feedback information for MISO-OFDMA systems to support more than one beam per subchannel for a given number of users, subchannels and transmit antennas. The performance results of the reduced feedback channel designs are evaluated for fair scheduling in wireless channels.

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A New Design of Polar-Cap Differential Codebook for Temporally/Spatially Correlated MISO Channels

Cited by 66 publications

References 30 publications

Variable-Rate Transmission for MIMO Time-Correlated Channels With Limited Feedback

Variable-Rate Transmission for MIMO Time-Correlated Channels With Limited Feedback

Predictive Coding of Bit Loading for Time-Correlated MIMO Channels With a Decision Feedback Receiver

Feedback channel designs for fair scheduling in MISO–OFDMA systems

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