An upper bound on the sum capacity of the downlink multicell processing with finite backhaul capacity

In this paper, we study upper bounds on the sum capacity of the downlink multicell processing model with finite backhaul capacity for the simple case of 2 base stations and 2 mobile users. It is modeled as a two-user multiple access diamond channel. It consists of a first hop from the central processor to the base stations via orthogonal links of finite capacity, and the second hop from the base stations to the mobile users via a Gaussian interference channel. The upper bound is derived using the converse tools of the multiple access diamond channel and that of the Gaussian MIMO broadcast channel. Through numerical results, it is shown that our upper bound improves upon the existing upper bound greatly in the medium backhaul capacity range, and as a result, the gap between the upper bounds and the sum rate of the time-sharing of the known achievable schemes is significantly reduced.

[1]  D. Traskov,et al.  Reliable Communication in Networks with Multi-access Interference , 2007, 2007 IEEE Information Theory Workshop.

[2]  Chandra Nair,et al.  The Capacity Region of the Two-Receiver Gaussian Vector Broadcast Channel With Private and Common Messages , 2014, IEEE Transactions on Information Theory.

[3]  L. Ozarow,et al.  On a source-coding problem with two channels and three receivers , 1980, The Bell System Technical Journal.

[4]  Tie Liu,et al.  An Extremal Inequality Motivated by Multiterminal Information-Theoretic Problems , 2006, IEEE Transactions on Information Theory.

[5]  Patrick P. Bergmans,et al.  A simple converse for broadcast channels with additive white Gaussian noise (Corresp.) , 1974, IEEE Trans. Inf. Theory.

[6]  Shlomo Shamai,et al.  Cooperative Wireless Cellular Systems: An Information-Theoretic View , 2012, Found. Trends Commun. Inf. Theory.

[7]  Gerhard Kramer,et al.  Capacity Bounds for Diamond Networks With an Orthogonal Broadcast Channel , 2015, IEEE Transactions on Information Theory.

[8]  Nan Liu,et al.  An achievability scheme for downlink multicell processing with finite backhaul capacity: The general case , 2015, 2015 International Conference on Wireless Communications & Signal Processing (WCSP).

[9]  Andrea J. Goldsmith,et al.  Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels , 2003, IEEE Trans. Inf. Theory.

[10]  Gerhard Kramer,et al.  Capacity bounds for a class of diamond networks , 2014, 2014 IEEE International Symposium on Information Theory.

[11]  Wei Yu,et al.  Sum capacity of Gaussian vector broadcast channels , 2004, IEEE Transactions on Information Theory.

[12]  Nan Liu,et al.  A new achievability scheme for downlink multicell processing with finite backhaul capacity , 2014, 2014 IEEE International Symposium on Information Theory.

[13]  Shlomo Shamai,et al.  Downlink Multicell Processing with Limited-Backhaul Capacity , 2009, EURASIP J. Adv. Signal Process..

[14]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[15]  Rudolf Ahlswede,et al.  On source coding with side information via a multiple-access channel and related problems in multi-user information theory , 1983, IEEE Trans. Inf. Theory.

[16]  Nan Liu,et al.  The Gaussian multiple access diamond channel , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[17]  Giuseppe Caire,et al.  Compute-and-Forward Strategies for Cooperative Distributed Antenna Systems , 2012, IEEE Transactions on Information Theory.

[18]  Shlomo Shamai,et al.  Sum Rate Characterization of Joint Multiple Cell-Site Processing , 2007, IEEE Transactions on Information Theory.

[19]  Shlomo Shamai,et al.  Joint Precoding and Multivariate Backhaul Compression for the Downlink of Cloud Radio Access Networks , 2013, IEEE Transactions on Signal Processing.

[20]  Katalin Marton,et al.  A coding theorem for the discrete memoryless broadcast channel , 1979, IEEE Trans. Inf. Theory.

[21]  David Tse,et al.  Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality , 2003, IEEE Trans. Inf. Theory.

[22]  David Tse,et al.  Sum capacity of the multiple antenna Gaussian broadcast channel , 2002, Proceedings IEEE International Symposium on Information Theory,.

[23]  Gerhard Kramer,et al.  Capacity of two-relay diamond networks with rate-limited links to the relays and a binary adder multiple access channel , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).

[24]  Imre Csiszár,et al.  Information Theory - Coding Theorems for Discrete Memoryless Systems, Second Edition , 2011 .

[25]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.