• Title/Summary/Keyword: zero forcing

Search Result 178, Processing Time 0.023 seconds

GLOBAL EXISTENCE FOR 3D NAVIER-STOKES EQUATIONS IN A LONG PERIODIC DOMAIN

  • Kim, Nam-Kwon;Kwak, Min-Kyu
    • Journal of the Korean Mathematical Society
    • /
    • v.49 no.2
    • /
    • pp.315-324
    • /
    • 2012
  • We consider the global existence of strong solutions of the 3D incompressible Navier-Stokes equations in a long periodic domain. We show by a simple argument that a strong solution exists globally in time when the initial velocity in $H^1$ and the forcing function in $L^p$([0; T);$L^2$), T > 0, $2{\leq}p{\leq}+\infty$ satisfy a certain condition. This condition common appears for the global existence in thin non-periodic domains. Larger and larger initial data and forcing functions satisfy this condition as the thickness of the domain $\epsilon$ tends to zero.

A Study on the Efficient Interference Cancellation for Multi-hop Relay Systems (다중 홉 중계 시스템에서 효과적인 간섭 제거에 관한 연구)

  • Kim, Eun-Cheol;Cha, Jae-Sang;Kim, Seong-Kweon;Lee, Jong-Joo;Kim, Jin-Young;Kang, Jeong-Jin
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.9 no.4
    • /
    • pp.47-52
    • /
    • 2009
  • The transmitted signal from a source is transmitted to a destination through wireless channels. But if the mobile destination is out of the coverage of the source or exists in the shady side of the coverage, the destination can not receiver the signal from the source and they can not maintain communication. In order to overcome these problems, we adopt relays. A system employing relays is a multi-hop relay system. In the multi-hop relay system, coverages of each relay that is used for different systems can overlap each other in some place. When there is a destination in this place, interference occurs at the destination. In this paper, we study on the efficient co-channel interference (CCI) cancellation algorithm. In the proposed strategy, CCI is mitigated by zero forcing (ZF) or minimum mean square error (MMSE) receivers. Moreover, successive interference cancellation (SIC) with optimal ordering algorithm is applied for rejecting CCI efficiently. And we analyzed and simulated the proposed system performance in Rayleigh fading channel. In order to justify the benefit of the proposed strategy, the overall system performance is illustrated in terms of bit error probability.

  • PDF

Variable Selection in Sliced Inverse Regression Using Generalized Eigenvalue Problem with Penalties

  • Park, Chong-Sun
    • Communications for Statistical Applications and Methods
    • /
    • v.14 no.1
    • /
    • pp.215-227
    • /
    • 2007
  • Variable selection algorithm for Sliced Inverse Regression using penalty function is proposed. We noted SIR models can be expressed as generalized eigenvalue decompositions and incorporated penalty functions on them. We found from small simulation that the HARD penalty function seems to be the best in preserving original directions compared with other well-known penalty functions. Also it turned out to be effective in forcing coefficient estimates zero for irrelevant predictors in regression analysis. Results from illustrative examples of simulated and real data sets will be provided.

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF FORCED NONLINEAR NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yuji;Ge, Weigao
    • Journal of applied mathematics & informatics
    • /
    • v.16 no.1_2
    • /
    • pp.37-51
    • /
    • 2004
  • In this paper, we consider the asymptotic behavior of solutions of the forced nonlinear neutral difference equation $\Delta[x(n)-\sumpi(n)x(n-k_i)]+\sumqj(n)f(x(n-\iota_j))=r(n)$ with sign changing coefficients. Some sufficient conditions for every solution of (*) to tend to zero are established. The results extend and improve some known theorems in literature.

A Study on Future Changes of Sea Surface Temperature and Ocean Currents in Northwest Pacific through CMIP6 Model Analysis (CMIP6 모형 결과 분석을 통한 북서태평양 해면수온과 해류의 미래변화에 대한 고찰)

  • JEONG, SUYEON;CHOI, SO HYEON;KIM, YOUNG HO
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
    • /
    • v.26 no.4
    • /
    • pp.291-306
    • /
    • 2021
  • From the climate change scenario experiments of 21 models participating in Coupled Climate Model Inter-comparison Project Phase 6, future changes of sea surface temperature (SST) and Kuroshio in the Northwest Pacific were analyzed. The spatial feature of SST change was found to be related to the change of the current speed and spatial distribution of Kuroshio. To investigate the relationship between the change in latitude of the Kuroshio extension region, which flows along the boundary between the subtropical gyre and the subarctic gyre in the North Pacific, and the large-scale atmospheric circulation due to global warming, the zero-windstress curl line for each climate change experiment from 9 out of 21 models were compared. As the atmospheric radiative forcing increases due to the increase of greenhouse gases, it was confirmed that the zero-windstress curl line moves northward, which is consistent with the observation. These results indicate that as the Hadley Circulation expands to the north due to global warming, the warming of the mid-latitudes to which the Korean Peninsula belongs may be accelerated. The volume transport and temperature of the Tsushima Warm Current flowing into the East Sea through the Korea Strait also increased as the atmospheric radiative forcing increased.

Performance of Interference Cancellation Scheme for Multihop Military Communication Systems (멀티 홉 군통신 시스템을 위한 간섭 제거 기법 성능 분석)

  • Kim, Yo-Cheol;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.11 no.3
    • /
    • pp.17-22
    • /
    • 2011
  • In this paper, we analyze co-channel interference cancellation performance to be generated in multi-hop military communication system. First, remove interference using zero-forcing (ZF) and minimum mean square error (MMSE) scheme as interference cancellation methods, and then obtain additional diversity gain and improve interference cancellation performance by applying successive interference cancellation (SIC). We consider Rayleigh fading channel and system performance is analyzed as respect of bit error probability. From simulation results, we confirm MMSE improves significantly BER performance than ZF in multi-hop wireless network environment. It is also confirmed ZF and MMSE schemes applying SIC algorithm have better performance comparing to the existing schemes. Therefore, MMSE-SIC method can provide more reliable signal transmission in the multi-hop military communication system.

Beamforming Games with Quantized CSI in Two-user MISO ICs (두 유저 MISO 간섭 채널에서 불완전한 채널 정보에 기반한 빔포밍 게임)

  • Lee, Jung Hoon;Lee, Jin;Ryu, Jong Yeol
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.21 no.7
    • /
    • pp.1299-1305
    • /
    • 2017
  • In this paper, we consider a beamforming game between the transmitters in a two-user multiple-input single-output interference channel using limited feedback and investigate how each transmitter is able to find a modified strategy from the quantized channel state information (CSI). In the beamforming game, each of the transmitters (i.e., a player) tries to maximize the achievable rate (i.e., a payoff function) via a proper beamforming strategy. In our case, each transmitter's beamforming strategy is represented by a linear combining factor between the maximum ratio transmission (MRT) and the zero forcing (ZF) beamforming vectors, which is the Pareto optimal achieving strategy. With the quantized CSI, the transmitters' strategies may not be valid because of the quantization errors. We propose a modified solution, which takes into account the effects of the quantization errors.

A Feasibility Study on Opportunistic Interference Alignment: Improved Energy Efficiency via Power Control (기회적 간섭 정렬의 실현 가능성 연구: 전력 제어를 통한 에너지 효율성 개선)

  • Shin, Won-Yong;Yoon, Jangho
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.19 no.5
    • /
    • pp.1077-1083
    • /
    • 2015
  • In this paper, we introduce an energy-efficient opportunistic interference alignment (OIA) scheme that greatly improves the sum-rates in multi-cell uplink networks. Each user employs optimal transmit vector design and power control in the sense of minimizing the amount of generated interference to other-cell base stations while satisfying a required signal quality. As our main result, it is shown that owing to the reduced interference level, the proposed OIA schemes attains larger sum-rates than those of OIA with no power control for almost all signal-to-noise ratio regions. In addition, when both zero-forcing and minimum mean square error (MMSE) detectors are employed at the receiver along with the OIA scheme, it is shown that the OIA scheme with MMSE detection shows superior performance.

Receivers for Spatially Multiplexed Space-Time Block Coded Systems : Reduced Complexity (시공간블록부호화를 적용한 공간다중화 시스템 수신기 : 복잡도 감소 방안)

  • Hwang Hyeon Chyeol;Shin Seung Hoon;Lee Cheol Jin;Kwak Kyung Sup
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.29 no.11A
    • /
    • pp.1244-1252
    • /
    • 2004
  • In this paper, we derive some properties of linear detectors (zero forcing or minimum mean square error) at spatial multiplexing systems with alamouti's space-time block code. Based on the derived properies, this paper proposes low-complexity receivers. Implementing MMSE detector adaptively, the number of weight vectors to be calculated and updated is greatly reduced with the derived properties compared to the conventional methods. In the case of recursive least square algorithm, with the proposed approach computational complexity is reduced to less than the half. We also identify that sorted QR decomposition detector, which reduces the complexity of V-Blast detector, has the same properties for unitary matrix Q and upper triangular matrix R. A complexity reduction of about 50%, for sorted QR decomposition detector, can be achieved by using those properties without the loss of performance.