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Integer-Forcing Message Recovering in Interference Channels [article]

Seyed Mohammad Azimi-Abarghouyi, Mohsen Hejazi, Behrooz Makki, Masoumeh Nasiri-Kenari, Tommy Svensson
2017 arXiv   pre-print
In this paper, we propose a scheme referred to as integer-forcing message recovering (IFMR) to enable receivers to recover their desirable messages in interference channels.  ...  In our method, each receiver recovers independent linear integer combinations of the desirable messages each from two independent equations.  ...  Here, we propose a linear receiver scheme, referred to as integer-forcing message recovering (IFMR), for interference networks.  ... 
arXiv:1701.08373v1 fatcat:boxkefhn5ngnfj2xprvkbmc4cu

Integer-Forcing Linear Receivers [article]

Jiening Zhan, Bobak Nazer, Uri Erez, Michael Gastpar
2014 arXiv   pre-print
It is further shown that in an extended MIMO model with interference, the integer-forcing linear receiver achieves the optimal generalized degrees-of-freedom.  ...  Rather than attempting to recover transmitted codewords directly, the decoder recovers integer combinations of the codewords according to the entries of the effective channel matrix.  ...  ACKNOWLEDGMENT The authors are grateful to Or Ordentlich for pointing out the suboptimality of unimodular integer forcing, Giuseppe Caire for corrections in the proof of Theorem 7, and Seyong Park for  ... 
arXiv:1003.5966v4 fatcat:qig4fzvpfzd7ha6riqxeetfzoi

Integer-Forcing Linear Receivers

Jiening Zhan, Bobak Nazer, Uri Erez, Michael Gastpar
2014 IEEE Transactions on Information Theory  
It is further shown that in an extended MIMO model with interference, the integer-forcing linear receiver achieves the optimal generalized degrees-of-freedom.  ...  Rather than attempting to recover transmitted codewords directly, the decoder recovers integer combinations of the codewords according to the entries of the effective channel matrix.  ...  ACKNOWLEDGMENT The authors are grateful to Or Ordentlich for pointing out the suboptimality of unimodular integer forcing, Giuseppe Caire for corrections in the proof of Theorem 7, and Seyong Park for  ... 
doi:10.1109/tit.2014.2361782 fatcat:vrlc4p52pvcthba3xbngleiaau

Integer-forcing linear receivers

Jiening Zhan, Bobak Nazer, Uri Erez, Michael Gastpar
2010 2010 IEEE International Symposium on Information Theory  
It is further shown that in an extended MIMO model with interference, the integer-forcing linear receiver achieves the optimal generalized degrees-of-freedom.  ...  Rather than attempting to recover transmitted codewords directly, the decoder recovers integer combinations of the codewords according to the entries of the effective channel matrix.  ...  ACKNOWLEDGMENT The authors are grateful to Or Ordentlich for pointing out the suboptimality of unimodular integer forcing, Giuseppe Caire for corrections in the proof of Theorem 7, and Seyong Park for  ... 
doi:10.1109/isit.2010.5513734 dblp:conf/isit/ZhanNEG10 fatcat:dvoxbxopovcszptx44khbwpwqu

Uplink-Downlink Duality for Integer-Forcing

Wenbo He, Bobak Nazer, Shlomo Shamai
2018 Zenodo  
recover its desired message.  ...  This step guarantees that the integer-linear combinations recovered by the users correspond to their desired messages.  ... 
doi:10.5281/zenodo.2578822 fatcat:efehii2denfudabc3ovcbrsrjm

Uplink-Downlink Duality for Integer-Forcing [article]

Wenbo He, Bobak Nazer, Shlomo Shamai
2018 arXiv   pre-print
In both cases, integer-forcing offers higher achievable rates than zero-forcing while maintaining a similar implementation complexity.  ...  For the MIMO MAC, the integer-forcing architecture consists of first decoding integer-linear combinations of the transmitted codewords, which are then solved for the original messages.  ...  recover its desired message.  ... 
arXiv:1608.03351v2 fatcat:qdb25wmk6fai3mmgnggc4jzfp4

Cooperative Compute-and-Forward

Matthew Nokleby, Behnaam Aazhang
2016 IEEE Transactions on Wireless Communications  
messages.  ...  Compared to existing non-cooperative techniques, this approach offers substantial improvement in achievable rate and robustness to variation in channel gains.  ...  This computation channel is a building block for larger channels in which receivers, after obtaining from the relays sufficiently many linear combinations of transmitters' messages, recover from them the  ... 
doi:10.1109/twc.2015.2465904 fatcat:h2vnv3wpvrcvjneexenuzka45m

Integer Forcing-and-Forward Transceiver Design for MIMO Multipair Two-Way Relaying

Seyed Mohammad Azimi-Abarghouyi, Masoumeh Nasiri-Kenari, Behrouz Maham, Mohsen Hejazi
2016 IEEE Transactions on Vehicular Technology  
The proposed scheme utilizes Integer Forcing Linear Receiver (IFLR) at relay, which uses equations, i.e., linear integer-combinations of messages, to harness the intra-pair interference.  ...  In this paper, we propose a new transmission scheme, named as Integer Forcing-and-Forward (IFF), for communications among multi-pair multiple-antenna users in which each pair exchanges their messages with  ...  We have introduced modified integer forcing linear receiver to overcome the channel estimation error efficiently.  ... 
doi:10.1109/tvt.2016.2518667 fatcat:5gy6rtivlvdjfdlfyeog6ektuu

Flexible Backhaul Design and Degrees of Freedom for Linear Interference Networks [article]

Aly El Gamal, Venugopal V. Veeravalli
2014 arXiv   pre-print
A linear interference channel model is considered, where each transmitter is connected to the receiver having the same index as well as one succeeding receiver.  ...  The considered problem is that of maximizing the degrees of freedom (DoF) in cellular downlink, under a backhaul load constraint that limits the number of messages that can be delivered from a centralized  ...  Lemma 3: For any message assignment satisfying (3) for a K−user channel with an average transmit set size constraint B, there exists an integer M ∈ {0, 1, . . . , K}, and a subset S ⊆ [K] whose size |S  ... 
arXiv:1401.3375v1 fatcat:4xw5wqbal5f77oswi5nv3yvgce

Practical Implementation of Integer Forcing Linear Receivers in MIMO Channels

Asma Mejri, Ghaya Rekaya-Ben Othman
2013 2013 IEEE 78th Vehicular Technology Conference (VTC Fall)  
Integer Forcing (IF) architecture has been recently proposed to design linear receivers in MIMO systems. Research works show the promise of this architecture from a capacity achieving perspective.  ...  However, it is not totally understood how to select IF coefficient matrix and if the promised theoretical gain of the resulting receivers is attainable in practical settings.  ...  Integer-Forcing Linear Receivers In both linear receivers and LR-aided linear receivers, the interference provided by the channel is cancelled and the linearity of the underlying code is not exploited.  ... 
doi:10.1109/vtcfall.2013.6692375 dblp:conf/vtc/MejriO13 fatcat:34fp5fimgrhc7csk5kjb6ybdrq

Real interference alignment and degrees of freedom region of wireless X networks

Zhengdao Wang
2011 2011 8th International Symposium on Wireless Communication Systems  
Each transmitter conveys for each receiver an independent message. The channel is assumed to have constant coefficients.  ...  For our achievability schemes, we divide each message into streams and use real interference alignment on the streams.  ...  Acknowledgement: The work in this paper was supported in part by the NSF grant No. 1128477.  ... 
doi:10.1109/iswcs.2011.6125348 dblp:conf/iswcs/Wang11 fatcat:44tanabze5gvnlkbgbzwwehat4

Real Interference Alignment and Degrees of Freedom Region of Wireless X Networks [article]

Zhengdao Wang
2011 arXiv   pre-print
Each transmitter conveys for each receiver an independent message. The channel is assumed to have constant coefficients.  ...  For our achievability schemes, we divide each message into streams and use real interference alignment on the streams.  ...  Acknowledgement: The work in this paper was supported in part by the NSF grant No. 1128477.  ... 
arXiv:1109.2944v1 fatcat:cop3dk7psjdwboyfbg2ghnv6xm

Structured Lattice Codes for 2 × 2 × 2 MIMO Interference Channel [article]

Song-Nam Hong, Giuseppe Caire
2013 arXiv   pre-print
We consider the 2\times 2\times 2 multiple-input multipleoutput interference channel where two source-destination pairs wish to communicate with the aid of two intermediate relays.  ...  in the finite field domain.  ...  We use integer-forcing receiver (IFR) of [11] in order to minimize the impact of noise boosting at the receivers, and integer-forcing beamforming (IFB), proposed by the authors in [12] , in order to  ... 
arXiv:1301.6453v1 fatcat:pe3vjejndbfgnjxkrzyxcwszly

Expanding the Compute-and-Forward Framework: Unequal Powers, Signal Levels, and Multiple Linear Combinations

Bobak Nazer, Viveck R. Cadambe, Vasilis Ntranos, Giuseppe Caire
2016 IEEE Transactions on Information Theory  
The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages.  ...  The resulting linear combinations can then be employed as an end-to-end communication strategy for relaying, interference alignment, and other applications.  ...  As shown in [3] (for equal powers), the rate region for recovering all of the messages can be significantly expanded by integer-forcing decoding, i.e., taking the union over all rank-L matricesà in Theorem  ... 
doi:10.1109/tit.2016.2593633 fatcat:wejc5ixy7jhn7bi353lltdanmm

Structured Lattice Codes for Some Two-User Gaussian Networks with Cognition, Coordination and Two Hops [article]

Song-Nam Hong, Giuseppe Caire
2014 arXiv   pre-print
For such channel we develop an achievable region based on a few novel concepts: Precoded Compute and Forward (PCoF) with Channel Integer Alignment (CIA), combined with standard Dirty-Paper Coding.  ...  We start with a Cognitive Interference Channel (CIC) where one of the transmitters (non-cognitive) has knowledge of a rank-1 linear combination of the two information messages, while the other transmitter  ...  To overcome this bottleneck, we employ Channel Integer Alignment (CIA) in order to create an "aligned" channel matrix for which exact integer forcing is possible.  ... 
arXiv:1304.4693v2 fatcat:smn3xcajw5cprieo3yxel2eogu
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