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Per-User Unitary Rate Control (PU<sup>2</sup>RC) is the advanced multi-user [[MIMO]] technique which utilizes the concept of both pre-coding matrices and scheduling to enhance the system performance of multiple antenna wireless networks.
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The operation is described mathematically below for the transmitter and receiver side.
The transmitter antenna array has <math>N_t</math> elements. The transmit signal vector is modeled as follows:
:<math> \mathbf{x} = \sum_{i=1}^K \mathbf{w}_i P_i s_i</math>
where <math>\mathbf{x}</math> is the <math>N_t \times 1</math> vector of transmitted symbols and <math>\mathbf{w}_i</math> is the <math>N_t \times 1</math> linear precoding vector. PU<sup>2</sup>RC generates <math>{\mathbf{w}_i}</math> based on the received finite channel status information, which is delivered to the base station by the user equipment (UE) using a coded look-up table index.
Every receiver has a receive antenna array with <math>N_r</math> elements. The receive signal vector at user <math>k (=1,2,\ldots,K)</math> is modeled as follows:
:<math>\mathbf{y}_k = \mathbf{H}_k\mathbf{x}+\mathbf{n}_k</math>
where <math>\mathbf{y}_k</math> and <math>\mathbf{n}_k</math> are the <math>N_r \times 1</math> received symbol and noise, respectively, and <math>\mathbf{H}_k</math> is the <math>N_r \times N_t</math> matrix with the channel coefficients.
The figure illustrates the throughput advantage of PU<sup>2</sup>RC over the conventional single-user and no scheduling scheme, assuming that the codebook size is one, i.e., <math>(G=1)</math>. For larger codebook sizes the performance can be better than the performance of the unit-size codebook. Because of codebook-based multi-user scheduling, PU<sup>2</sup>RC outperforms the conventional single-user and no scheduling scheme when the number of users is larger than one. Note that the performance plotted in the figure for the two systems were obtained assuming linear receiver.
==PU<sup>2</sup>RC Source and Background Materials==
* James S. Kim, K. B. Lee, et al., Mobile communication apparatus and method including base station and mobile station having multi-antenna, US PTO 7,324,480
* [http://mobile.snu.ac.kr/mcl_list/papers/journal/IEICEtcomm_200608_sjkim_hjkim_cspark_kblee.pdf S. J. Kim, H. J. Kim, C. S. Park, and K. B. Lee, "On the Performance of Multiuser MIMO Systems in WCDMA/HSDPA: Beamforming, Feedback and User Diversity," IEICE Transactions on Communications, vol. E98-B, no. 8, pp. 2161–2169, Aug. 2006.]
* 3GPP TSG RAN WG1#31 R1-030354, [http://www.3gpp.org/ftp/tsg_ran/WG1_RL1/TSGR1_31/docs/Zips/R1-030354.zip Per unitary basis stream user and rate Control (PU2RC)], 3GPP TSG-R1-030354, Tokyo, Fed 18-21, 2003. (See also R1-030130)
* Kim, J.S., Hojin Kim, Yongxing Zhou, Jianjun Li, ``Multi-Mode Multi-User MIMO System with Finite Rate Feedback'', IEEE Wireless Communication Systems, 2006. ISWCS '06. 3rd International Symposium on, 6-8 Sept. 2006
== MU-MIMO Standard Contributions ==
# [http://www.3gpp.org/ftp/tsg_ran/WG1_RL1/TSGR1_31/docs/Zips/R1-030354.zip 3GPP TSG RAN WG1#31, R1-030354, Per unitary basis stream user and rate Control (PU2RC), 3GPP TSG-R1-030354, Tokyo, Fed 18-21, 2003. (See also R1-030130)]
# [http://www.3gpp.org/ftp/tsg_ran/WG1_RL1/TSGR1_44/Docs/R1-060335.zip 3GPP, TSG RAN WG1#44/R1-060335 “Downlink MIMO for EUTRA,” Samsung and SNU]
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==See also==
KNOL Article: [http://knol.google.com/k/james-sungjin-kim/pu2rc/2ycwib2vxc76q/90 Kim, James Sungjin. PU2RC:Per-user unitary and rate control (Web). Version 4. Knol. 2009 Oct 17. Available from: http://knol.google.com/k/james-sungjin-kim/pu2rc/2ycwib2vxc76q/90.]
[[Category:3GPP]]
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