Performance of nonbinary projection codes.
Item
-
Title
-
Performance of nonbinary projection codes.
-
Identifier
-
AAI9130287
-
identifier
-
9130287
-
Creator
-
Abdelatif, Nasser N.
-
Contributor
-
Adviser: D. L. Schilling
-
Date
-
1991
-
Language
-
English
-
Publisher
-
City University of New York.
-
Subject
-
Engineering, Electronics and Electrical
-
Abstract
-
Projection Codes are a class of random and burst error correcting codes, which does not require the use of inter-leavers. Projection Codes can be subdivided into three smaller classes: the SM, PSM, and TASM Codes, which differ from each other by the degree of protection each offers to the parity lines. Since the introduction of Projection Codes in 1987, emphasis was paid to the binary codes. To further explain the behavior of these codes we studied the performance of the non-binary codes.;Due to the complexity of the theoretical analysis of the codes, asymptotic approximations only for the most powerful sub-class, the TASM, is presented. For a detailed study of the performance of the codes, computer simulations were used. Detailed explanations of the encoding and decoding algorithms for the block representation of each of the three classes of Projection Codes, the SM, PSM, and TASM, and for the convolutional representation of the TASM code are presented. A hardware implementation of the TASM convolutional code is also presented.;To explain the results obtained the following is presented: (1) A comparison between the binary and non-binary codes for each of the three classes of Projection Codes which showed that the non-binary codes outperforms the binary codes. (2) An explanation of the effect of the variation of different parameters such as the block length, the number of parity lines used, and the rate of the code. (3) A comparison between the performance of the different classes of codes, the SM, PSM and TASM which showed that the TASM is the most powerful class of codes. (4) A comparison between the performance of the block and convolutional representations of the TASM Projection Codes. (5) A comparison between Projection Codes and well known codes such as the Reed-Solomon Code which showed that Projection Codes outperform most codes particularly at high error rates (10{dollar}\sp{lcub}-2{rcub}{dollar}-10{dollar}\sp{lcub}-3{rcub}){dollar}.
-
Type
-
dissertation
-
Source
-
PQT Legacy CUNY.xlsx
-
degree
-
Ph.D.