• Title/Summary/Keyword: branch metric

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Performance Analysis on Soft Decision Decoding using Erasure Technique (COFDM 시스템에서 채널상태정보를 이용한 Viterbi 디코더)

  • 이원철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.10A
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    • pp.1563-1570
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    • 1999
  • This paper relates to the soft decision method with erasure technique in digital terrestrial television broadcasting system. The proposed decoder use the CSI derived from using the pilots in receiver. The active real(I) and imaginary(Q) data are transferred to the branch metric calculation block that decides the Euclidean distance for the soft decision decoding and also the estimated CSI values are transferred to the same block. After calculating the Euclidean distance for the soft decision decoding, the Euclidean distance of branch metric is multiplied by CSI. To do so, new branch metric values that consider each carrier state information are obtained. We simulated this method in better performance of about 0.15dB to 0.17dB and 2.2dB to 2.9dB in Rayleigh channel than that of the conventional soft decision Viterbi decoding with or without bit interleaver where the constellation is QPSK, 16-QAM and 64-QAM.

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FIXED POINT THEOREMS IN S-METRIC SPACES

  • Kim, Jong Kyu;Sedghi, Shaban;Gholidahneh, A.;Rezaee, M. Mahdi
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.677-684
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    • 2016
  • In this paper, the notion of S-metric spaces will be introduced. We present some fixed point theorems for two maps on complete S-metric spaces and an illustrative example is given for the single-valued case. By using the similar method as in [4], a common fixed point theorem for two single-valued mappings is obtained in S-metric spaces.

Radix-trellis Viterbi Decoding of TCM/PSK using Metric Quantization (TCM/PSK의 양지화 Radix-trellis Viterbi 복호)

    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.5
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    • pp.731-737
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    • 2000
  • In this paper we propose a decoding algorithm of Ungerboeck TCM/PSK in the concept of Radix-trellis, which has been applied to the decoding of convolutional codes for the high speed decoding. As an example we choose 16-state trellis coded 8-ary PSK. For Radix-4 and Radix-16 trellis decoding, we explain the path metric(PM) and the branch metric(BM) calculation. By using the simulation, we evaluate the bit error rate(BER) performance according to the number of binary digits for I-Q value, PM and BM registers. The proper number of binary digits of each register has been derived.

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FIXED POINT THEOREMS FOR SIX WEAKLY COMPATIBLE MAPPINGS IN $D^*$-METRIC SPACES

  • Sedghi, Shaban;Khan, M. S.;Shobe, Nabi
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.351-363
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    • 2009
  • In this paper, we give some new definitions of $D^*$-metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete $D^*$-metric spaces. We get some improved versions of several fixed point theorems in complete $D^*$-metric spaces.

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COMMON FIXED POINT THEOREMS FOR A CLASS OF WEAKLY COMPATIBLE MAPPINGS IN D-METRIC SPACES

  • Kim, Jong-Kyu;Sedghi, Shaban;Shobe, Nabi
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.107-117
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    • 2009
  • In this paper, we give some new definitions of D-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly compatible mappings in complete D-metric spaces. We get some improved versions of several fixed point theorems in complete D-metric spaces.

A COMMON FIXED POINT THEOREM ON ORDERED PARTIAL S-METRIC SPACES AND APPLICATIONS

  • Soursouri, Sima;Shobkolaei, Nabi;Sedghi, Sahaban;Altun, Ishak
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.169-189
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    • 2020
  • A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.