• Title/Summary/Keyword: Reed-Solomon(RS)

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Variable Structure Control Design Based on Eigenvalues Assignment of Sliding Mode (슬라이딩 모드 고유치 설정에 기반을 둔 가변구조 제어 설계)

  • Hong, Yeon-Chan;Lee, Tae-Bong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.6
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    • pp.2207-2213
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    • 2010
  • A new scheme for variable structure control design which is based on eigenvalues assignment of sliding mode is developed. In conventional methods, generally, specific type of system matrix like canonical or regular form is required to construct a switching surface. Furthermore, the methods are not explicit. The new method in this paper solved the problems. No special type of system matrix is required and very explicit. It is shown that the switching surface can be constructed and determined uniquely without any dependency on the system form. The proposed method is based on the fact that the dynamics of sliding mode is determined by system zeros. Finally, a numerical example is given to verify the validity of the results studied in this paper.

Efficient Cooperative Transmission Scheme for High Speed WPAN System in 60GHz (60GHz WPAN 시스템의 전송 효율 향상을 위한 협력 통신 기법)

  • Lee, Won-Jin;Lee, Jae-Young;Suh, Young-Kil;Heo, Jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.3C
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    • pp.255-263
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    • 2010
  • In this paper, we present an efficient cooperative transmission scheme for high speed 60GHz WPAN system. In 60GHz, the cooperative transmission with relay is effective scheme because signals are exceedingly attenuated according to the distance and the transmission is impossible when there is no LOS between transmitter and receiver. Moreover, the reliability of signal in destination can be improved by receiving data from a relay as well as a transmitter. However, the overall data rate is reduced because transmission time is more required for relay. To solve this problem, we propose a cooperative transmission scheme with RS-CC serial concatenated codes. In the proposed cooperative transmission scheme, the relay can reduce the transmission data size because the only parity bits of systematic RS code are transmitted after encoding by CC. But the computational complexity is increased at the relay and the destination.

A New Upper Layer Decoding Algorithm for a Hybrid Satellite and Terrestrial Delivery System (혼합된 위성 및 지상 전송 시스템에서 새로운 상위 계층 복호 알고리즘)

  • Kim, Min-Hyuk;Park, Tae-Doo;Kim, Nam-Soo;Kim, Chul-Seung;Jung, Ji-Won;Chun, Seung-Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.20 no.9
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    • pp.835-842
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    • 2009
  • DVB-SSP is a new broadcasting system for hybrid satellite communications, which supports mobile handheld systems and fixed terrestrial systems. However, a critical factor must be considered in upper layer decoding which including erasure Reed-Solomon error correction combined with cyclic redundancy check. If there is only one bit error in an IP packet, the entire IP packet is considered as unreliable bytes, even if it contains correct bytes. IF, for example, there is one real byte error, in an If packet of 512 bytes, 511 correct bytes are erased from the frame. Therefore, this paper proposed two kinds of upper layer decoding methods; LLR-based decoding and hybrid decoding. By means of simulation we show that the performance of the proposed decoding algorithm is superior to that of the conventional one.

The Design and Implementation of Outer Encoder/Decoder for Terrestrial DMB (지상파 DMB용 Outer 인코더/리코더의 설계 및 구현)

  • Won, Ji-Yeon; Lee, Jae-Heung;Kim, Gun
    • The KIPS Transactions:PartA
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    • v.11A no.1
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    • pp.81-88
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    • 2004
  • In this paper, we designed the outer encoder/decoder for the terrestrial DMB that is an advanced digital broadcasting standard, implemented, and verified by using ALTERA FPGA. In the encoder part, it was created the parity bytes (16 bytes) from the input packet (188by1e) of MPEG-2 TS and the encoded data was distributed output by the convolutional interleaver for Preventing burst errors. In the decoder part, It was proposed the algorithm that detects synchronous character suitable to DMB in transmitted data from the encoder. The circuit complexity in RS decoder was reduced by applying a modified Euclid's algorithm. This system has a capability to correct error of the maximum 8 bytes in a packet. After the outer encoder/decoder algorithm was verified by using C language, described in VHDL and implemented in the ALTERA FPGA chips.

A Hybrid Decoding Algorithm for MPE-FEC based on DVB-SSP (DVB-SSP 기반 혼합형 MPE-FEC 복호 알고리즘)

  • Park, Tae-Doo;Kim, Min-Hyuk;Kim, Nam-Soo;Kim, Chul-Sung;Jung, Ji-Won;Lee, Seong-Ro
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.9C
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    • pp.848-854
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    • 2009
  • DVB-SSP is a new broadcasting system for hybrid satellite communications, which supports mobile handhold systems and fixed terrestrial systems. An upper layer, including erasure Reed-Solomon error correction combined with cyclic redundancy check. However, a critical factor must be considered in upper layer decoding. If there is only one bit error in an IP packet, the entire IP packet is considered as unreliable bytes, even if it contains correct bytes. If, for example, there is one real byte error, in an If packet of 512 bytes, 511 correct bytes are erased from the frame. Therefore, this paper proposed upper layer decoding methods; hybrid decoding. By means of simulation we show that the performance of the proposed decoding algorithm is superior to that of the conventional one in AWGN channel and TI channel.

Design of an Adaptive Reed-Solomon Decoder with Varying Block Length (가변 블록길이를 갖는 적응형 리드솔로몬 복호기의 설계)

  • Song, Moon-Kyou;Kong, Min-Han
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.4C
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    • pp.365-373
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    • 2003
  • In this paper, we design a versatle RS decoder which can decode RS codes of any block length n as well as any message length k, based on a modified Euclid's algorithm (MEA). This unique feature is favorable for a shortened RS code of any block length it eliminates the need to insert zeros before decoding a shortened RS code. Furthermore, the value of error correcting capability t can be changed in real time at every codeword block. Thus, when a return channel is available, the error correcting capability can be adaptiverly altered according to channel state. The decoder permits 4-step pipelined processing : (1) syndrome calculation (2) MEA block (3) error magnitude calculation (4) decoder failure check. Each step is designed to form a structure suitable for decoding a RS code with varying block length. A new architecture is proposed for a MEA block in step (2) and an architecture of outputting in reversed order is employed for a polynomial evaluation in step (3). To maintain to throughput rate with less circuitry, the MEA block uses not only a multiplexing and recursive technique but also an overclocking technique. The adaptive RS decoder over GF($2^8$) with the maximal error correcting capability of 10 has been designed in VHDL, and successfully synthesized in a FPGA.

Propose and Performance Analysis of Turbo Coded New T-DMB System (터보부호화된 새로운 T-DMB 시스템 제안 및 성능 분석)

  • Kim, Hanjong
    • Journal of Digital Convergence
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    • v.12 no.3
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    • pp.269-275
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    • 2014
  • The DAB system was designed to provide CD quality audio and data services for fixed, portable and mobile applications with the required BER below $10^{-4}$. However for the T-DMB system with the video service of MPEG-4 stream, BER should go down $10^{-8}$ by adding FEC blocks which consist of the Reed-Solomon (RS) encoder/decoder and convolutional interleaver/deinterleaver. In this paper we propose two types of turbo coded T-DMB system without altering the puncturing procedure and puncturing vectors defined in the standard T-DMB system for compatibility. One(Type 1) can replace the existing RS code, convolutional interleaver and RCPC code by a turbo code and the other one (Type 2) can substitute the existing RCPC code by a turbo code. Simulation results show that two new turbo coded systems are able to yield considerable performance gain after just 2 iterations. Type 2 system is better than type 1 but the amount of performance improvement is small.

A Study on the Error Correction Algorithm for Digital Audio Systems (디지탈 오디오 시스템에서의 오류정정 알고리듬에 관한 연구)

  • Jun, Kyong-Il;Kim, Nam-Wook;Kim, Yong-Deak
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.7
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    • pp.90-97
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    • 1989
  • In this paper, we have taken the formation of two-dimension codeword named doubly-encoded code using the Reed-Solomon code, C1(32, 28) with minimum distance 5 and C2(32, 26) with minimum distance 7 and we have had computer simulation of these error correcting processes using modeled R-DAT (Rotationary Digital Audio Tape). As the result, the error rate per symbol has been decreased about 0.05 and on these processes, the newly developed digital signal processing technology such as erro correction using Berlekamp-Massey algorithm in frequency domain have been proven.

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Performance Improvement of 3D HDTV Transmission with Block LDPC Codes (블록 LDPC 부호를 사용한 3D HDTV 전송을 위한 성능개선 방안에 관한 연구)

  • Kim, Minki;Kim, Dongho
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2012.07a
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    • pp.134-137
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    • 2012
  • 최근 ATSC방식의 디지털 방송에서 HD급의 3D 방송 서비스에 대한 관심이 증가 되고 있는 추세이다. HD급의 3D 방송 서비스(이하 3D HDTV)를 제공하기 위해 [2]에서는 ATSC 전송 시스템을 확장하고 BCH 부호와 IRA 타입의 LDPC를 사용하는 수정된 ATSC 전송 시스템을 제안하였다. 본 논문에서는 BCH와 IRA 타입의 LDPC 부호 대신 Reed Solomon 부호와 Block LDPC 부호를 사용하고 16QAM 변조를 사용하여 전송 용량을 증대할 수 있다는 사실을 확인하였다. AWGN 채널에서 모의 실험한 결과 BCH부호와 LDPC부호 및 4PAM을 적용한 수정된 ATSC 전송시스템의 TOV는 약 7dB로 19.33Mbps로 전송되지만[2] 본 논문에서 제안한 RS(207, 187)과 부호율 3/4인 Block LDPC 및 16QAM의 TOV는 약 5.4dB로 29Mbps로 전송되어 기존시스템에 비해 약1.5배의 전송 용량 증대가 가능한 것으로 확인되었다. 이로서 6MHz의 한정된 대역에서 HD급의 3D 방송서비스 실현이 한층 더 가까워지게 될 것으로 예상된다.

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A New Upper Layer Decoding Algorithm for MPE-FEC based on LLR (LLR 기반의 MPE-FEC 상위계층 복호 방식)

  • Kim, Chul-Seung;Kim, Min-Hyuk;Park, Tae-Doo;Kim, Nam-Soo;Jung, Ji-Won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.10
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    • pp.2227-2234
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    • 2009
  • DVB-SSP is a new broadcasting system for hybrid satellite communications, which supports mobile handheld systems and fixed terrestrial systems. An upper layer, including erasure Reed-Solomon error correction combined with cyclic redundancy check. However, a critical factor must be considered in upper layer decoding. If there is only one bit error in an IP packet, the entire IP packet is considered as unreliable bytes, even if it contains correct bytes. If, for example, there is one real byte error, in an IP packet of 512 bytes, 511 correct bytes are erased from the frame. Therefore, this paper proposed upper layer decoding methods; LLR-based decoding. By means of simulation we show that the performance of the proposed decoding algorithm is superior to that of the conventional one.