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Convolutional-code-Specific CRC code Design

IEEE TRANSACTIONS ON COMMUNICATIONS 2015年第10期63卷 3459-3470页

作者： Lou, Chung-Yu Daneshrad, Babak Wesel, Richard D. Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA

Cyclic redundancy check (CRC) codes check if a codeword is correctly received. This paper presents an algorithm to design CRC codes that are optimized for the code-specific error behavior of a specified feedforward convolutional code. The algorithm utilizes two distinct approaches to computing undetected error probability of a CRC code used with a specific convolutional code. The first approach enumerates the error patterns of the convolutional code and tests if each of them is detectable. The second approach reduces complexity significantly by exploiting the equivalence of the undetected error probability to the frame error rate of an equivalent catastrophic convolutional code. The error events of the equivalent convolutional code are exactly the undetectable errors for the original concatenation of CRC and convolutional codes. This simplifies the computation because error patterns do not need to be individually checked for detectability. As an example, we optimize CRC codes for a commonly used 64-state convolutional code for information length k = 1024, demonstrating significant reduction in undetected error probability compared to the existing CRC codes with the same degrees. For a fixed target undetected error probability, the optimized CRC codes typically require 2 fewer bits.

关键词： catastrophic code convolutional code cyclic redundancy check (CRC) code undetected error probability

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Comments on "A noncoherent coded modulation for 16QAM"

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IEEE TRANSACTIONS ON COMMUNICATIONS 2006年第7期54卷 1347-1348页

作者： Wei, Ruey-Yi Chen, Liang-Twu Natl Cent Univ Dept Commun Engn Chungli 32054 Taiwan Chung Shan Inst Sci & Technol Informat & Commun Res Div Taoyuan Taiwan

A correction to the article 'A Noncoherent coded Modulation for 16QAM,' that was published in the last issue is presented.

关键词： catastrophic code coded modulation noncoherent

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A new space-time multiple trellis coded modulation scheme using transmit symbol phase rotation

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WIRELESS PERSONAL COMMUNICATIONS 2005年第1-2期35卷 153-171页

作者： Jiang, SS Kohno, R Yokohama Natl Univ Grad Sch Engn Div Phys Hodogaya Ku Yokohama Kanagawa 2408501 Japan

Space-time multiple trellis coded modulation (ST-MTCM) has been introduced in order to achieve maximum transmit diversity gain and larger coding gain with the existence of parallel paths. In our previous research, we designed a new coded modulation scheme for ST-MTCM which simultaneously maximizes the coding gain and diversity gain utilizing Hadamard Matrix giving the maximum determinant. This scheme, however, cannot achieve full transmit rate. In this paper, we extend our research so as to achieve full rate transmission as well as maximum coding and diversity gain. In addition, Super-Orthogonal Space-Time Trellis code (SO-STTC) is well known for its high coding gain, full diversity gain and full transmit rate. Even though our proposed scheme is essentially the same as SO-STTC, we show in this paper that our proposed code design is different from SO-STTC, and achieves better performance. Our proposed code design utilizes transmit symbol phase rotation at a certain time slot so as to avoid same path transition in trellis, which occurs with conventional SO-STTC scheme. We design codes with different way of phase rotation for different MPSK modulation scheme, and simulation results show the improvements of our proposed codes for MPSK modulation with different number of states.

关键词： space-time multiple trellis coded modulation super-orthogonal space-time trellis codes set partitioning transmit diversity symbol phase rotation catastrophic code

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A new space-time multiple trellis coded modulation scheme using transmit symbol phase rotation

A new space-time multiple trellis coded modulation scheme us...

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International Symposium on Wireless Personal Multimedia Communications

作者： Jiang, SS Kohno, R Yokohama Natl Univ Grad Sch Engn Div Phys Hodogaya Ku Yokohama Kanagawa 2408501 Japan

关键词： space-time multiple trellis coded modulation super-orthogonal space-time trellis codes set partitioning transmit diversity symbol phase rotation catastrophic code

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