For this case, the achievable mutual informationofthe mod channel 4 may beeasily computedandis depicted in the fig. Tomlinsonharashima precoding thp has become a promising scheme. A continuous transition from complete to statistical channel knowledge frank a. Multiuser snr gap and optimal user ordering chihang fred fung,student member, ieee, wei yu, member, ieee, and teng joon lim, senior member, ieee abstractthis paper develops a practical design method for implementing tomlinsonharashima precoding thp in a. Zfbf and tomlinsonharashima precoding thp which is provably nearoptimal in high snr conditions. Achievable rates for generalized spatial tomlinson. An exact expression for the maximum achievable information rate of zeroforcing zf thp is derived as a function of the channel impulse response, the input. Xiaojun yuan, li ping, chongbin xu and aleksandar kavcic, achievable rates of mimo systems with linear precoding and iterative lmmse detection, ieee transactions on. Rbd is less sensitive to channel estimation errors than nonlinear techniques and can be also used for precoding with longterm channel state information. The effect of mismatch on decisionfeedback equalization. Pdf improved achievable rates for regularized tomlinson.
The importance of symbol rate to zfthp performance is demonstrated. Therefore, the information rates achieved by thp are superior. This cited by count includes citations to the following articles in scholar. Sensitivity of nonlinear precoding to imperfect channel. An inter block interference nulling algorithm based on tomlinsonharashima precoding for ltea systems m. Tomlinsonharashima precoded mimo in wireless networks. Tomlinsonharashima precoding for multiuser mimo systems with quantized csi feedback liang sunt, ming leit, and derrick wing kwan ng t nec laboratories china, allf, innovation plaza, tsinghua science park, beijing lo0084, china.
Precoding and equalization for mimo broadcast channels with applications in spread spectrum systems a dissertation presented by. An approximate conditional ber analysis is presented for the given channel condition. Tomlinsonharashima precoding thp 271 tomlinsonharashima precoding thp nonlinear equalization at the transmitter requires channel knowledge at transmitter ok for slowly varying, static channels with feedback not ok for fastchanging channels. Set of all simultaneously achievable data rates r 1, r 2. We have also implemented zeroforcing beamforming cs03 and tomlinsonharashima precoding wfvh04, two popular mumimo precoding schemes widely investigated, from a theoretical viewpoint, in the literature. Capacityapproaching data transmission in mimo broadcast. Numerical results are presented to verify our analysis. Coding for cooperative communications a dissertation by momin ayub uppal submitted to the o. Achievable rates of svdbased codebooks for zeroforcing and tomlinsonharashima precoding schemes with limited feedback mumimo system. Note that when is onedimensional, the lattice precoding scheme is based simply on scalar quantization sq and is an extension of tomlinsonharashima precoding.
Thp transmit lter group consists of a forward lter f, a. The technique consists of precoding the data in order to cancel the interference. Both analysis and the simulation results show that the achievable sumrate of cib bridges the rates of zeroforcing precoding and matched filtering techniques at high and low signal to noise ratios, respectively. For reference, the figure also depicts the achievable rates without precoding, and the achievable rates in the single user case, i. Joint tomlinsonharashima precoding and frequencydomain. These systems normally transmit symbols from a complex quadrature amplitude modulation qam. Tomlinsonharashima precoding for mumiso wireless systems. Citeseerx achievable rates for tomlinsonharashima precoding. Achievable rates for tomlinsonharashima precoding ieee xplore. This article examines tomlinsonharashima precoding 1971, 1972 on discrete time channels having intersymbol interference and additive white gaussian. At high data rates it can extract the maximum diversity order of the channel. As a downside, tomlinsonharashima precoding requires full channel state information csi at the transmitter, which may be hard to obtain precisely in wireless systems.
Decentralized target rate optimization for mumimo leakage. Improved achievable rates for regularized tomlinson. This correspondence examines tomlinson harashima precoding thp on discretetime channels having intersymbol interference and additive white gaussian noise. Haardt, generalized design of lowcomplexity block diagonalization type precoding algorithms for multiuser mimo systems, ieee transactions on communications, 20. In this paper, a new lower bound on the achievable information rate for the regularized thp. Nonlinear tomlinsonharashima precoding thp shows significant gain with respect to linear precoding techniques as linear zeroforcing lzf. Improved achievable rates for regularized tomlinsonharashima. Keywordsmulti user mimo, sdma, thp, tomlinson harashima, precoding, zf, mmse, qpsk, qam. An exact expression for the maximum achievable information rate of zeroforcing zf thp is. Pdf achievable rates of svdbased codebooks for zero.
Achievable rates for tomlinsonharashima precoding core. Thp is a precoding strategy based on the concept of successive interference precancellation at the transmitter i. Ordered spatial tomlinsonharashima precoding, in smart antennasstateoftheart, eurasip book series on signal processing and communications. However, from a rate perspective, nonlinear precoding is bene. In particular, it is shown that, compared with conventional massive mimo systems, the. In this paper, a new lower bound on the achievable information rate for the regularized thp scheme under additive white gaussian noise awgn channel with multiuser interference is derived. Index terms additive white gaussian noise, capacity, intersymbol interference, peak constraint, tomlinson harashima precoding. Analysis and design of tomlinsonharashima precoding for multiuser mimo systems 239. Both analysis and the simulation results show that the achievable sumrate of cib bridges the rates of zeroforcing precoding and matched. Quantized csibased tomlinsonharashima precoding in. We consider thp mimo in a multi user scenario, together with a proposed smart scheduling technique and we explore the capacity performance through extensive capacity analysis considering varying snr. Nonlinear tomlinsonharashima precoding thp is an attractive solution for a scenario where the transmission system employs multiple antennas at transmitter and multiple users with a single antenna at the receiver, so that the cooperation among the receive antennas are impossible downlink scenario.
P csiis the knowledge of the pdf of the random channel parameters, e. Pdf analysis and design of tomlinsonharashima precoding for. Improved sumrate optimization in the multiuser mimo downlink. Ratesplitting rs based on tomlinsonharashima precoding. Abstract tomlinsonharashima precoding thp is considered as a prominent precoding scheme due to its capability to efficiently cancel out the known interference at the transmitter side. We also study the achievable average sum rate of the proposed quantized csibased th pre coding scheme. With channelmismatch at both transmitter and receiver, an asymptotic upper bound for twotap channel is derived when the input is i. Tomlinsonharashima precoded ratesplitting for multiuser. Dietrich, peter breun, and wolfgang utschick institute for circuit theory and signal processing, munich university of technology arcisstrasse 21, 80290, munich, germany. Yet, the actual zf performance is still very close to the upper bound for all frequencies. Quantized csi based tomlinsonharashima precoding in multiuser mimo systems hubert george 1. Improved achievable rates for regularized tomlinsonharashima precoding in multiuser mimo downlink. Abstracttomlinsonharashima precoding thp for a sys tem with multiple. In this paper, we consider the design of nonlinearly precoded rs based on tomlinsonharashima precoding.
Introduction tomlinson 1 and harashima 2, 3 independently introduced precoding as a technique for intersymbol interference mitigation. Scfde systems using tomlinsonharashima precoding were proposed in7, 8. The achievable average ber performance is evaluated by montecarlo numerical computation method using the derived conditional ber. This paper considers the implementation of tomlinsonharashima th pre coding for multiuser mimo systems based on quantized channel state information csi at the transmitter side. Successive optimization tomlinsonharashima precoding. Capacityapproaching data transmission in mimo broadcast channels a crosslayer approach jing jiang abstract this dissertation focuses on downlink multiantenna transmission with packet scheduling. Harashima precoding schemes with limited feedback mu. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Index terms mimo precoding, tomlinsonharashima pre coding, mmse precoding. Harashima precoding on the transmitter side causes sum.
Therefore, the information rates achieved by thp are superior to those. Keke zu communications research group department of electronics university of york may 20. Widely linear mmse precoding and equalization techniques. Tomlinsonharashima precoding thp is considered as a prominent precoding scheme due to its capability to efficiently cancel out the known interference at the transmitter side. If the channel state information is available at the bsap, it can be used to ef. The optimal linear precoding does not have any closedform expression, but it takes the form of a weighted mmse precoding for singleantenna receivers. Based on tomlinson harashima precoding for a systems. Precoding and equalization for mimo broadcast channels. The expression of an upper bound on the mean loss in sum rate due to csi quantization is derived. Approaching the dirty paper limit for canceling known. Dirtypaper coding achieves the channel capacity, without a power penalty and without requiring the receiver to.
Tomlinsonharashima precoding for multiuser mimo systems. Achievable rates for t omlinsonharashima precoding richard d. Centralised and decentralised precoding framework in multi usermimo wireless communication. Tomlinsonharashima precoding is more sensitive than optimized linear precoding to varying channel state information due to fluctuations in ambient conditions and sudden changes in termination impedance. In this paper, a new lower bound on the achievable information rate for the. Hence the combination of nonlinear precoding and rs is a promising avenue to improve the rate performance, especially in the imperfect csit setting. Request pdf achievable rates for generalized spatial tomlinsonharashima precoding in mimo systems in this paper, we study spatial tomlinsonharashima precoding sthp. Therefore, the information rates achieved by thp are superior to those achieved by conventional linear precoding schemes. Minimum mean square error vector precoding schmidt. Tomlinsonharashima precoding thp it is a nonlinear pre coding developed for singleinput,singleoutputsiso multipath channels. We investigate a wireless network architecture that utilizes tomlinson harashima precoded multiple input multiple output thp mimo technique for improved system capacity. Using airsync in a testbed consisting of eight warp radios, four acting as access points connected to a central server and four.
In telecommunications, dirty paper coding dpc or costa precoding is a technique for efficient transmission of digital data through a channel subjected to some interference known to the transmitter. The effect of mismatch on decisionfeedback equalization and tomlinsonharashima precoding. Precoding and equalization for mimo broadcast channels with applications in spread spectrum systems. Recently it has been also applied for the preequalization of. This suboptimal approach cannot achieve the weighted sum rate, but it can still maximize the weighted sum performance or some other metric of achievable rates under linear precoding. Pdf achievable rates for tomlinsonharashima precoding. Downlink achievable rate analysis in massive mimo systems.