• Title/Summary/Keyword: Pairwise Error Probability

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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.

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.

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.

Distributed Space-Time Coded Non-Orthogonal DF Protocols with Source Antenna Switching

  • Jin, Xianglan;Yang, Jae-Dong;No, Jong-Seon;Shin, Dong-Joon
    • Journal of Communications and Networks
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    • v.12 no.5
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    • pp.492-498
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    • 2010
  • In this paper, a new distributed space-time coded (DS-TCed) non-orthogonal decode-and-forward (NDF) protocol with source antenna switching (SAS) is proposed, where two antennas associated with each radio frequency chain can be alternatively used in the first and second phases. Several DSTC schemes for the NDF with SAS (NDF-SAS) protocol are proposed and their average pairwise error probability for the error-free source-relay (SR) channel is also derived. The simulation results show that the NDF-SAS protocol achieves larger diversity order than the NDF protocol under the error-free and erroneous SR channels.

Encoder Design for the Multiple Symbol Trellis Coded Modulation Applied to Noncoherent CPFSK on the Interleaved Rician Fading Channel

  • Kim, Chang-Joong;Lee, Ho-Kyoung
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.421-424
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    • 2002
  • In this paper, we introduce an encoder design technique of multiple symbol trellis coded modulation for noncoherent continuous phase frequency shift keying (MTCM/NCPFSK) on the interleaved Rician fading channel. To find dominant factors which affects the error probability of MTCM/NCPFSK, we derive the pairwise error probability (PEP) of MTCM/NCPFSK and find that the error probability mainly depends on the effective length of error event and the corresponding squared product distance (SPD) for the small value of Rician parameter K. Using this performance criteria, we search for the optimal encoder of MTCM/NCPFSK for the interleaved Rician fading channel. We also compare that encoder with the encoder designed for additive white Gaussian noise channel.

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Performance Analysis for The Coordinate Interleaved Orthogonal Design of Space Time Block Code in The Time Selective Fading Channel (시간 선택적 페이딩 환경에서 CIOD 시공간 블록 부호의 성능 분석)

  • Moon, Seung-Hyun;Lee, Ho-Kyoung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.6
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    • pp.43-49
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    • 2014
  • In this paper, we consider the performance evaluation of space time block code (STBC)) with coordinate interleaved orthogonal design (CIOD) over time selective channel. In case of quasi static channel, STBC-CIOD satisfies full rate and full diversity (FRFD) property with the single symbol decoding. However in the time selective channel, the symbol interference degrades the system performance when we employ the single symbol decoding. We derive the union bound of the symbol error probability by evaluating the pairwise error probability in the first order Markov channel. We also present simulation results of STBC-CIOD with QPSK.

Hyperparameter Selection for APC-ECOC

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1219-1231
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    • 2008
  • The main object of this paper is to develop a leave-one-out(LOO) bound of all pairwise comparison error correcting output codes (APC-ECOC). To avoid using classifiers whose corresponding target values are 0 in APC-ECOC and requiring pilot estimates we developed a bound based on mean misclassification probability(MMP). It can be used to tune kernel hyperparameters. Our empirical experiment using kernel mean squared estimate(KMSE) as the binary classifier indicates that the bound leads to good estimates of kernel hyperparameters.

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Performance of Multiple-Relay Cooperative Communication Networks under Soft-Decision-and-Forward Protocol (연판정 후 전송 방식을 적용한 다중 안테나 다중 릴레이 협동통신망의 성능 분석)

  • Song, Kyoung-Young;No, Jong-Seon;Kim, Tae-Guen;Sung, Joon-Hyun;Rim, Min-Joong;Lim, Dae-Woon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.5A
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    • pp.431-439
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    • 2010
  • In this paper, multiple-relay cooperative communication network with multiple antennas is considered. Applying the soft-decision-and-forward protocol to this system, pairwise error probability(PEP) is derived and then symbol error rate(SER) is also calculated. However, in general, signals are transmitted through the orthogonal channel in the multiple-relay cooperative communication network for the prevention of interference, which is inefficient in terms of the throughput. For the improvement of throughput, the relay selection is considered, where the relay having the maximum instantaneous end-to-end signal-to-noise ratio is chosen. Performance of the system is analyzed in terms of PEP and SER. As the number of the relay increases, relay selection method outperforms the conventional multiple-relay transmission system where all relays participate in the second time slot.

Performance Analysis on the Multiple Trellis Coded CPFSK for the Noncoherent Receiver without CSI (채널 상태 정보를 사용하지 않는 비동기식 복조기를 위한 다중 격자 부호화 연속 위상 주파수 변조 방식의 성능분석)

  • 김창중;이호경
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10C
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    • pp.942-948
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    • 2003
  • In this paper, we analyze the performance of multiple trellis coded modulation applied to continuous phase frequency shift keying (MTCM/CPFSK) for the noncoherent receiver without channel state information (CSI) on the interleaved Rician fading channel. In this system, the squared cross-correlation between the received signal and a candidate signal is used as the branch metric of the Viterbi decoder. To obtain the bit error performance of this system, we analyze the approximated pairwise error probability (PEP) and the exact PEP. We also derive the equivalent normalized squared distance (ENSD) and compare it with the ENSD of the noncoherent receiver with perfect CSI. Simulation results are also provided to verify the theoretical performance analysis.

Design of Unequal Error Protection for MIMO-OFDM Systems with Hierarchical Signal Constellations

  • Noh, Yu-Jin;Lee, Heun-Chul;Lee, Won-Jun;Lee, In-Kyu
    • Journal of Communications and Networks
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    • v.9 no.2
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    • pp.167-176
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    • 2007
  • In multimedia communication systems, efficient transmission system design should incorporate the use of matching unequal error protection (UEP), since source coders exhibit unequal bit error sensitivity. In this paper, we present UEP schemes which exploit differences in bit error protection levels in orthogonal frequency division multiplexing (OFDM) systems over frequency selective fading channels. We introduce an UEP scheme which improves the link performance with multiple transmit and receive antennas. Especially, we propose a new receiver structure based on two stage Maximum Likelihood detection (MLD) schemes which can approach the performance of a full search MLD receiver with much reduced computational complexity. In the performance analysis, we derive a generalized pairwise error probability expression for the proposed UEP schemes. Simulation results show that the proposed schemes achieve a significant performance gain over the conventional equal error protection (EEP) scheme.