• Title/Summary/Keyword: Tarokh

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A Comparative Analysis of Orthogonal SIBC Algorithms in Spatially Correlated Rayleigh Fading Environments (공간 코릴레이션이 존재하는 레일리이 페이딩 환경에서 직교 STBC 알고리즘의 성능 비교 분석)

  • Jang, Eun-Kyoung;Park, Hyung-Rae;Kim, Chang-Ju
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.10C
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    • pp.836-843
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    • 2008
  • In this paper we derive the theoretical performance of orthogonal STBC algorithms in spatially correlated Rayleigh fading environments and compare their performances for various correlation conditions. We first derive the theoretical BER of the orthogonal STBC algorithms for both M-ary PSK and M-ary QAM modulation schemes by using the eigenvalues of the channel correlation matrix and then investigate the effect of the spatial correlation on the performance for various transmission rates of $1{\sim}4bps/Hz$. Performance analysis illustrates that the Alamouti scheme provides the better performance than the Tarokh scheme for all the transmission rates in highly correlated fading environments with a correlation being larger than 0.9.

Closed-form Expression for the Symbol Error Probability of Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation (QAM 변조방식을 갖는 직교 시공간 블록 부호의 심볼 오율)

  • 김상효;강익선;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.6C
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    • pp.561-569
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    • 2003
  • In this paper, for my linear orthogonal space-time block including the orthogonal space-time codes introduced by Alamouti[1], Tarokh[14], and Xia[11], the exact expression for the pairwise error probability in the slow Rayleigh fading channel is derived in terms of the message symbol distance between two message vectors rather than the codeword symbol distance between two transmitted codeword matrices. Using the one-dimensional component symbol error probability, the exact closed form expressions for the symbol error probability of linear orthogonal space-time codes are derived for QPSK, 16-QAM, 64-QAM, and 256-QAM.

A Comparative Performance Analysis of STBC-OFDM Systems Under Cellular Mobile Environments (셀룰러 이동통신 환경에서 STBC-OFDM 시스템의 성능 비교, 분석)

  • Jung Ho-Chul;Chang Eun-Kyoung;Park Hyung-Rae;Jang Eun-Young;Kim Chang-Ju
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.43 no.3 s.345
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    • pp.18-26
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    • 2006
  • In this paper, we compare the performance of three representative STBC schemes, Alamouti's, Tarokh's and quasi-orthogonal schemes under cellular mobile environments when they are applied to the OFDM system. We first study the encoding algorithms of the STBC schemes along with the development of adequate demodulation algorithms. The OFDM parameters are selected by considering the Wibro system and adequate modulation schemes are assigned for each STBC schemes according to the transmission rate from 2bps/Hz to 4bps/Hz. The STBC-OFDM systems employ Walsh orthogonal codes covered along the frequency domain in order to estimate the channel information for different transmit antennas. We finally compare the performance of the STBC-OFDM systems according to the transmission rate through computer simulations in various mobile channel environments.

An Empirical Indoor Path Loss Model for Ultra-Wideband Channels

  • Ghassemzadeh, Saeed-S.;Greenstein, Larry-J.;Kavcic, Aleksandar;Sveinsson, Thorvardur;Tarokh, Vahid
    • Journal of Communications and Networks
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    • v.5 no.4
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    • pp.303-308
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    • 2003
  • We present a statistical model for the path loss of ultrawideband (UWB) channels in indoor environments. In contrast to our previously reported measurements, the data reported here are for a bandwidth of 6GHz rather than 1.25GHz; they encompass commercial buildings in addition to single-family homes (20 of each); and local spatial averaging is included. As before, the center frequency is 5.0GHz. Separate models are given for commercial and residential environments and, within each category, for lineof sight (LOS) and non-line-of-sight (NLS) paths. All four models have the same mathematical structure, differing only in their numerical parameters. The two new models (LOS and NLS) for residences closely match those derived from the previous measurements, thus affirming the stability of our path loss modeling. We find, also, that the path loss statistics for the two categories of buildings are quite similar.

A Unified Approach to Exact, Approximate, Optimized and Decentralized Output Feedback Pole Assignment

  • Tarokh, Mahmoud
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.939-947
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    • 2008
  • The paper proposes a new formulation of the output feedback pole assignment problem. In this formulation, a unified approach is presented for solving the pole assignment problem with various additional objectives. These objectives include optimizing a variety of performance indices, and imposing constraints on the output feedback matrix structure, e.g. decentralized structure. Conditions for the existence of the output feedback are discussed. However, the thrust of the paper is on the development of a convergent pole assignment algorithm. It is shown that when exact pole assignment is not possible, the method can be used to place the poles close to the desired locations. Examples are provided to illustrate the method.

Exact Bit Error Probability of Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation

  • Kim, Sang-Hyo;Yang, Jae-Dong;No, Jong-Seon
    • Journal of Communications and Networks
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    • v.10 no.3
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    • pp.253-257
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    • 2008
  • In this paper, the performance of generic orthogonal space-time block codes (OSTBCs) introduced by Alamouti [2], Tarokh [3], and Su and Xia [11] is analyzed. We first define one-dimensional component symbol error function (ODSEF) from the exact expression of the pairwise error probability of an OSTBC. Utilizing the ODSEF and the bit error probability (BEP) expression for quadrature amplitude modulation (QAM) introduced by Cho and Yoon [9], the exact closed-form expressions for the BEP of linear OSTBCs with QAM in quasi-static Rayleigh fading channel are derived. We also derive the exact closed-form of the BEP for some OSTBCs which have at least one message symbol transmitted with unequal power via all transmit antennas.

Performance Analysis of Space-Time Codes in Realistic Propagation Environments: A Moment Generating Function-Based Approach

  • Lamahewa Tharaka A.;Simon Marvin K.;Kennedy Rodney A.;Abhayapala Thushara D.
    • Journal of Communications and Networks
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    • v.7 no.4
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    • pp.450-461
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    • 2005
  • In this paper, we derive analytical expressions for the exact pairwise error probability (PEP) of a space-time coded system operating over spatially correlated fast (constant over the duration of a symbol) and slow (constant over the length of a code word) fad­ing channels using a moment-generating function-based approach. We discuss two analytical techniques that can be used to evaluate the exact-PEPs (and therefore, approximate the average bit error probability (BEP)) in closed form. These analytical expressions are more realistic than previously published PEP expressions as they fully account for antenna spacing, antenna geometries (uniform linear array, uniform grid array, uniform circular array, etc.) and scattering models (uniform, Gaussian, Laplacian, Von-mises, etc.). Inclusion of spatial information in these expressions provides valuable insights into the physical factors determining the performance of a space-time code. Using these new PEP expressions, we investigate the effect of antenna spacing, antenna geometries and azimuth power distribution parameters (angle of arrival/departure and angular spread) on the performance of a four-state QPSK space-time trellis code proposed by Tarokh et al. for two transmit antennas.

BER Performance Analysis of Linear Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation in Quasi Static Rayleigh Fading Channel (QAM 변조방식을 갖는 선형 직교 시공간 블록 부호의 준정지 레일리 페이딩 채널에서의 비트 오율 성능 분석)

  • Kim Sang-Hyo;Yang Jae-Dong;No Jong-Seon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.6C
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    • pp.575-581
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    • 2006
  • In this paper, we first define one-dimensional component symbol error function (ODSEF) from the exact expression of the pairwise error probability of orthogonal space-time block codes (OSTBC). Using the ODSEF and the general bit error probability (BEP) expression for quadrature amplitude modulation (QAM) introduced by Cho and Yoon, the exact closed form expressions for the BEP of linear OSTBCs with QAM in slow-varying Rayleigh fading channel are derived.

Bi-Directional Half-Duplex Relaying Protocols

  • Kim, Sang-Joon;Devroye, Natasha;Tarokh, Vahid
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.433-444
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    • 2009
  • The bi-directional relay channel is the natural extension of a three-terminal relay channel where node a transmits to node b with the help of a relay r to allow for two-way communication between nodes a and b. That is, in a bi-directional relay channel, a and b wish to exchange independent messages over a shared channel with the help of a relay r. The rates at which this communication may reliably take place depend on the assumptions made on the relay processing abilities. We overview information theoretic limits of the bi-directional relay channel under a variety of conditions, before focusing on half-duplex nodes in which communication takes place in a number of temporal phases (resulting in protocols), and nodes may forward messages in four manners. The relay-forwarding considered are: Amplify and forward (AF), decode and forward (DF), compress and forward (CF), and mixed forward. The last scheme is a combination of CF in one direction and DF in the other. We derive inner and outer bounds to the capacity region of the bi-directional relay channel for three temporal protocols under these four relaying schemes. The first protocol is a two phase protocol where a and b simultaneously transmit during the first phase and the relay r alone transmits during the second. The second protocol considers sequential transmissions from a and b followed by a transmission from the relay while the third protocol is a hybrid of the first two protocols and has four phases. We provide a comprehensive treatment of protocols in Gaussian noise, obtaining their respective achievable rate regions, outer bounds, and their relative performance under different SNR and relay geometries.