• Title/Summary/Keyword: Zero forcing

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A Computationally Efficient Sphere Decoding Algorithm with Smart Radius Control (스마트 반지름 제어를 사용한 효율적인 구복호 알고리즘)

  • Han, Hee-Goo;Oh, Seong-Keun
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.93-96
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    • 2005
  • We propose a computationally efficient sphere decoding (SD) algorithm with smart radius control (SRC). As a baseline algorithm for SD, we consider the modified Schnorr-Euchner (SE) algorithm [1] (hereafter, called as the MSE algorithm). In principle, the radius after zero-forcing decision feedback equalization (ZF-DFE) estimation can be reduced further if we select a new lattice vector closer to the received signal vector than the lattice vector corresponding to the ZF-DFE estimate does. In our case, we obtain such a better lattice vector by performing a sequence of alternating one-dimensional searches, starting from the ZF-DFE estimate. We then develop a novel SRC algorithm that adopts adaptively the additional radius reduction process according to the estimated signal-to-noise-power ratio (SNR) after ZF-DFE estimation. In addition, we analyze the effect of detection ordering on the complexity for SD. Column-norm ordering of the channel matrix and optimal ordering [1] are considered here. From our analyses, we see that SRC can reduce greatly the complexity for SD and the degree of complexity reduction gets significant as the SNR decreases, irrespective of detection ordering schemes used.

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Measurement Results of Uncoded-BER with respect to OFDM Symbol Timing Offset (OFDM 심벌 타이밍 옵셋에 의한 Uncoded-BER 측정 결과)

  • Lee, Jae-Ho;Ra, Sang-Jung;Choi, Dong-Joon;Hur, Nam-Ho
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2014.06a
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    • pp.243-245
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    • 2014
  • 본 논문에서는 OFDM(Orthogonal Frequency Division Multiplexing)시스템에서 OFDM 심벌 타이밍 옵셋에 따른 4096QAM 의 uncoded-BER(Bit Error Rate) 및 성상도를 측정하였다. uncoded-BER 은 수신기의 FEC(Forward Error Correction) 복호기 이전에서 측정된 BER 을 의미한다. 측정을 위해, OFDM 을 사용하는 DVB-C2(Digital Video Broadcasting for Cable Systems 2) 송수신기를 FPGA(Field Programmable Gate Array)를 이용하여 구현하였으며, OFDM 심벌의 CP(Cyclic Prefix)를 이용하여 OFDM 심벌 동기를 수행하였다. 일반적으로, OFDM 심벌 동기는 OFDM 심벌에서 CP 가 반복된다는 특성을 이용한 상관기를 사용한다. 또한, ISI(Inter Symbol Interference) 및 ICI(Inter Channel Interference)를 최소화하기 위해, 채널의 최대 지연시간을 고려하여 CP 내에서 OFDM 심벌 동기가 획득된다. 이럴 경우 수신기에서는 각 부반송파에 할당된 QAM 심벌들의 위상 회전이 발생하지만, 등화기에서 이러한 위상 회전이 보상된다. 부반송파에 할당된 파일롯 심벌들을 이용하여 채널 추정 및 보상을 하는 등화기에서, 파일롯 심볼들도 OFDM 심벌 타이밍 옵셋에 의해 위상회전이 발생하기 때문에 채널 추정 값에 영향을 미친다. 따라서, 본 논문에서는 4096QAM 과 ZF-LE(Zero Forcing Linear Equalizer)를 사용한 경우, OFDM 심벌 타이밍 옵셋에 따른 uncoded-BER 및 성상도의 측정 결과를 제시하였다.

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A Combining Scheme for Partial Incremental Redundancy based Hybrid Automatic Repeat Request in MIMO Systems (다중 안테나 시스템에서 부분 증분 리던던시 방식 Hybrid ARQ를 위한 결합 기법)

  • Park, Sang-Joon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.11
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    • pp.19-23
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    • 2010
  • In this paper, we propose a combining scheme for partial IR based hybrid ARQ in MIMO systems. The proposed combining scheme is a symbol-level combining scheme for repeatedly transmitted systematic symbols in partial IR based hybrid ARQ. In this paper, it is shown that the proposed combining scheme can also enhance the detection performance of the parity symbols that are newly transmitted in each retransmission. Simulation results show that the proposed combining scheme significantly improves the performance of the partial IR based hybrid ARQ compared to the cases of the conventional bit-level combining scheme, especially with the ZF detection.

Global Carbon Cycle and Budget Study (지구규모의 탄소 순환 및 물질수지 연구)

  • 권오열
    • Journal of Environmental Science International
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    • v.5 no.4
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    • pp.429-440
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    • 1996
  • A global carbon cycle model (GCCM), that incorporates interaction among the terrestrial biosphere, ocean, and atmosphere, was developed to study the carbon cycling aid global carbon budget, especially due to anthropogenic $CO_2$ emission. The model that is based on C, 13C and 14C mass balance, was calibrated with the observed $CO_2$ concentration, $\delta$13C and $\Delta$14C in the atmosphere, Δ14C in the soil, and $\Delta$14C in the ocean. Also, GCCM was constrained by the literature values of oceanic carbon uptake and CO, emissions from deforestation. Inputs (forcing functions in the model) were the C, 13C and 14C as $CO_2$ emissions from fossil fuel use, and 14C injection into the stratosphere by bomb-tests. The simulated annual carbon budget of 1980s due to anthropoRenic $CO_2$ shows that the global sources were 5.43 Gt-C/yr from fossil fuel use and 0.91 Gt-C/yr from deforestation, and the sinks were 3.29 Gt-C/yr in the atmosphere, 0.90 Gt-C/yr in the terrestrial biosphere and 2.15 Gt-C/yr in the ocean. The terrestrial biosphere is currently at zero net exchange with the atmosphere, but carbon is lost cia organic carbon runoff to the ocean. The model could be utilized for a variety of studies in $CO_2$ policy and management, climate modeling, $CO_2$ impacts, and crop models.

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Performance of ZF Precoder in Downlink Massive MIMO with Non-Uniform User Distribution

  • Kong, Chuili;Zhong, Caijun;Zhang, Zhaoyang
    • Journal of Communications and Networks
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    • v.18 no.5
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    • pp.688-698
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    • 2016
  • In this paper, we investigate the achievable sum rate and energy efficiency of downlink massive multiple-input multiple-output antenna systems with zero-forcing precoding, by taking into account the randomness of user locations. Specifically, we propose two types of non-uniform user distributions, namely, center-intensive user distribution and edge-intensive user distribution. Based on these user distributions, we derive novel tight lower and upper bounds on the average sum rate. In addition, the impact of user distributions on the optimal number of users maximizing the sum rate is characterized. Moreover, by adopting a realistic power consumption model which accounts for the transmit power, circuit power and signal processing power, the energy efficiency of the system is studied. In particular, closed-form solutions for the key system parameters, such as the number of antennas and the optimal transmit signal-to-noise ratio maximizing the energy efficiency, are obtained. The findings of the paper suggest that user distribution has a significant impact on the system performance: for instance, the highest average sum rate is achieved with the center-intensive user distribution, while the lowest average sum rate is obtained with the edge-intensive user distribution. Also, more users can be served with the center-intensive user distribution.

Sum-Rate Analysis for 3D MIMO with ZF Receivers in Ricean/Lognormal Fading Channels

  • Tan, Fangqing;Gao, Hui;Su, Xin;Lv, Tiejun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.7
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    • pp.2371-2388
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    • 2015
  • In this paper, we investigate the performance evaluation of three dimensional (3D) multiple-input multiple-output (MIMO) systems with an adjustable base station (BS) antenna tilt angle and zero-forcing (ZF) receivers in Ricean/Lognormal fading channels. In particular, we take the lognormal shadow fading, 3D antenna gain with antenna tilt angle and path-loss into account. First, we derive a closed-form lower bound on the sum rate, then we obtain the optimal BS antenna tilt angle based on the derived lower bound, and finally we present linear approximations for the sum rate in high and low-SNR regimes, respectively. Based on our analytical results, we gain valuable insights into the impact of key system parameters, such as the BS antenna tilt angle, the Ricean K-factor and the radius of cell, on the sum rate performance of 3D MIMO with ZF receivers.

The Interference Nulling using Weighted Precoding in the MIMO Cognitive Radio System (다중 안테나를 사용하는 인지무선 시스템에서 가중치 precoder를 통한 간섭 제거 기법)

  • Lee, Seon-yeong;Sohn, Sung-Hwan;Jang, Sung-Jeen;Kim, Jae-Moung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.8A
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    • pp.768-776
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    • 2010
  • In this paper, we consider a linear precoding for the effective spectrum sharing in multiple-input multiple-output (MIMO) cognitive radio system where a secondary user coexists with primary users. The secondary user employs the orthogonal space time block coding (OSTBC) at the transmitter. Assuming a flat fading channel and a maximum-likelihood receiver, the optimum precoder forces transmission referred to as eigen-beamforming. In this paper, to eliminate the interference, ZF criterion based eigen-beamforming is not only used but also the precoding weight is chosen to cancel the remaining interference. This weight is computed by vector's likelihood. Simulation results show stronger interference suppression capability, better SER performance, and higher capacity than the algorithm in [4].

Performance Analysis of MIMO Detection in Frequency Selective Rayleigh Fading Channels (주파수 선택적 Rayleigh 페이딩 채널에서의 MIMO 검출 성능 연구)

  • An, Jin-Young;Kim, Sang-Choon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.5
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    • pp.974-979
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    • 2009
  • The BER performance of a MIMO detection scheme on frequency selective Rayleigh fading channels is analytically discussed. The presented MIMO detection scheme consists of temporal and spatial combiners followed by a ZF detector. It is shown that for a MIMO system with $N_T$ transmit antennas, $N_R$ receive antennas, and L resolvable multipath components, it achieves the diversity order of $LN_R-N_T+1$. In frequency selective Rayleigh fading channels, an analytical error rate expression of the systems is also provided and the analytical error performance is compared with the simulated results.

Novel Pilot-Assisted Channel Estimation Techniques for 3GPP LTE Downlink with Performance-Complexity Evaluation

  • Qin, Yang;Hui, Bing;Chang, Kyung-Hi
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.7A
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    • pp.623-631
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    • 2010
  • In this paper, various of pilot-assisted channel estimation techniques for 3GPP LTE downlink are tested under multipath Rayleigh fading channel. At first, the conventional channel estimation techniques are applied with linear zero-forcing (ZF) equalizer, such as one dimensional least square (1-D LS) linear interpolation, two dimensional (2-D) wiener filter, the time and frequency dimension separate wiener filter and maximum likelihood estimator (MLE). Considering the practical implementation, we proposed two channel estimation techniques by combining time-dimension wiener filter and MLE in two manners, which showed a good tradeoff between system performance and complexity when comparing with conventional techniques. The nonlinear decision feedback equalizer (DFE) which can show a better performance than linear ZF equalizer is also implemented for mitigating inter-carrier interference (ICI) in our system. The complexity of these algorithms are calculated in terms of the number of complex multiplications (CMs) and the performances are evaluated by showing the bit error rate (BER).

MIMO Receiver Using RBF Network Over Rich-Scattering fading channels (Rich-Scattering 페이딩 채널에서 RBF Network를 이용한 MIMO 수신기)

  • 고균병;강창언;홍대식
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.8
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    • pp.301-306
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    • 2003
  • This paper proposes a novel detection scheme using a radial basis function (RBF) network in a multi-input multi-output (MIMO) environment. In order to evaluate the performance of the proposed MIMO-RBF receiver, simulations are performed over the rich-scattering fading channel. Simulation results confirm that the proposed scheme shows the similar bit-error rate (BER) performance of a maximum likelihood detection (MLD) and outperforms Vertical-Bell Laboratories Layered Space-Time using minimum-mean-square-error nulling (VBLAST-MMSE) as well as VBLAST using zero-forcing nulling (VBLAST-ZF). Moreover, we investigate the effect on the performance of the number of RBF center with two modulation formats (BPSK and QPSK) and different number of transmit and receive antennas. The performance of the proposed detector is verified with respect to an initialization-rate of RBF centers.