Iterative chase decoding of algebraic geometric codes

... in parallelogram P1 and parallelogram P3 whose sides are parallel to the corresponding sides of P1 is inscribed in parallelogram P2 Prove that the length of at least one of the sides of P1 does ... All the parallelograms considered have a common center (thanks to Problem 1.7) The lengths of the sides of parallelogram P3 are equal to a + a1 and b + b1 and the lengths of the...

Ngày tải lên: 26/01/2014, 13:20

... Annals of Mathematics, 165 (2007), 547–565 On the complexity of algebraic numbers I Expansions in integer bases By Boris Adamczewski and Yann Bugeaud Abstract Let b ≥ be an integer We prove that the ... expansion of algebraic numbers For b-ary expansions with b ≥ 3, we obtain a similar result as in Theorem 3, but an additional assumption is needed Theorem L...

Ngày tải lên: 16/02/2014, 06:20

... Annals of Mathematics, 166 (2007), 95–143 Geometric Langlands duality and representations of algebraic groups over commutative rings ´ By I Mirkovic and K Vilonen* Introduction ... geometric interpretation of representation theory of algebraic groups over commutative rings Although our results yield an interpretation of representation theory over...

Ngày tải lên: 06/03/2014, 08:21

... Accountants and Auditors Ministry of Economy and Finance of Cambodia National Accounting Council of Cambodia National Bank of Cambodia Nongovernmental organizations Reports on the Observance of Standards ... Bank and the International Monetary Fund (IMF) to prepare Reports on the Observance of Standards and Codes (ROSC) The assessment focuse...

Ngày tải lên: 06/03/2014, 21:20

... the end of the War Between the States, the North had bested the South, while in the battle between two competing codes of honor and manliness, the gentlemen had triumphed over the roughs Having ... work of the expanding middle class, roughs earned honor and status through the giving and receiving of pain, as they were either unable or unwilling...

Ngày tải lên: 14/03/2014, 09:31

... Posteriori Decoding of Channels Codes The BCJR algorithm [28] provides the common framework to the decoding of turbo and LDPC codes as it is applied to the decoding of the two component RSC codes of ... recalls the definition of turbo and LDPC codes, and Section reviews the fundamentals of the MAP decoding algorithm, going through the BCJR decoding of convolutional co...

Ngày tải lên: 21/06/2014, 05:20

... estimate for every sub-block of symbols before 10−3 10−4 10−5 BER PERFORMANCE OF THE PROPOSED RECEIVER We constructed a binary LDPC code of N = 3000, K = 1500, R = 0.5 for a sub-block size of Nb ... paper, we addressed the problem of LDPC codebased iterative decoding under phase noise channels from a code perspective We proposed construction of ring-based codes...

Ngày tải lên: 21/06/2014, 23:20

... paper addresses the problem of optimal and reduced complexity soft- input decoding of QA codes with a termination constraint An optimal state model for soft- decoding of QA codes, exploiting a termination ... to analyze error recovery properties of VLC is extended to QA codes This method allows the calculation of the PMF of the gain/loss of symbols caused by channe...

Ngày tải lên: 22/06/2014, 19:20

... in Section SYSTEM DESCRIPTION We consider transmitting a continuous source through a diversity OFDM system The diversity of an OFDM system is made up of two N-subcarrier OFDM systems, signalling ... will focus on the operation on the first description to illustrate the iterative procedure Multiple Description Codes over OFDM Y1 145 {λ1 [k]} Blind OFDM {Λ1 [k]} + de...

Ngày tải lên: 23/06/2014, 00:20

... decoding algorithms for algebraic geometric codes over finite fields to make them work for algebraic geometric codes over rings In Chapter 3, the modification of the basic algorithm for algebraic geometric ... Introduction Background Information 2.1 Codes over Rings 2.2 Algebraic Geometric Codes over 2.3 Curves over Rings 2.4 Valuations 2.5 Alge...

Ngày tải lên: 13/11/2014, 09:08

... Figures xiii List of Acronyms xxii List of Notations xxiv Introduction 1.1 Overview of Nonbinary LDPC Codes and Decoding 1.2 Transceiver Design and LLR Computations over Fading Channels 1.3 ... conducted into the transceiver design of capacity- approaching codes over fading channels, aiming to achieve reliable communications at low SNRs For transmissions o...

Ngày tải lên: 09/09/2015, 10:17

... Tal’s algorithm: A hard or a soft -decoding algorithm? Ido Tal as a Lee metric hard -decoding algorithm Soft -decoding: independent of the distance used Koetter and Vardy’s soft -decoding ... (See Chapters and 5) Therefore, this first chapter contains a classical description of a communication system The concepts of Lee and Hamming distance, alternant cod...

Ngày tải lên: 29/09/2015, 13:01

... CONTRIBUTIONS TO THE CONSTRUCTION AND DECODING OF NON- BINARY LOW- DENSITY PARITY- CHECK CODES NG KHAI SHENG (B.Eng.(Hons.), NUS) A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING ... describes the decoding of binary and non- binary LDPC codes via the message-passing algorithm (MPA) The MPA will be described in detail for the nonbin...

Ngày tải lên: 03/10/2015, 21:56

... done to investigate the performance of both proposed decoders 1.4 Contribution of Thesis The contribution of this thesis is the presentation of hard and soft decoding methods for linear codes over ... image codes from Z4 linear codes 13 2.5.2 Z4 linear codes from its binary image codes 13 2.4 2.5 iii Decoding of BCH codes 3.1 3.2 3.3 14 Classical...

Ngày tải lên: 03/10/2015, 21:56

... Performance of Iterative Chase Decoding of (23,18,3) AG codes over Klein quartic curves in AWGN channel using symbol concatenation 4.7 58 Performance of Iterative Chase Decoding of (23,18,3) AG codes ... one-point algebraic geometric codes are used as the component codes of block turbo codes This thesis is intended to investigate the soft-decision decoding...

Ngày tải lên: 08/11/2015, 17:16