Suggested reference for convolutional codes : “Fundamentals of Convolutional Coding” by Rolf Johannesson and Kamil Zigangirov, IEEE Press, 1999. An encoder for a binary block code takes a block of information bits and converts it into a block of transmitted bits (a codeword). A binary convolutional encoder takes a stream of information bits and converts it into a stream of transmitted bits, usi...

Tree search algorithms have a long history in computer science. In the coding literature, tree search algorithms have traditionally been used for decoding convolutional codes. Convolutional codes are linear codes with a special structure. Classic tree search decoders (most notably the sequential decoder) search one code tree in which the bits are ordered sequentially. We propose a multitree sea...

This paper studies the performance of phase modulation through a fully saturated power amplifier and AWGN channel for broadband wireless systems. A nonlinear model for the fully saturated power amplifier is derived. The equivalent impulse response method is provided to analyze the SNR degradation. Both convolutional code and turbo code are used. The Viterbi decoding and the iterative decoding a...

In this paper, error-control coding is used with a six-port direct-digital QPSK receiver [1] in an AWGN channel. The direct-conversion wideband six-port millimeter wave receiver proposed herein meets the needs of MMIC mass-market wireless communications. Convolutional code and Turbo code are used as the channel codes for the first time in this type of receiver. The BER results for the convoluti...

A general method for constructing convolutional codes from units in Laurent series over matrix rings is presented. Using group rings as matrix rings, this forms a basis for in-depth exploration of convolutional codes from group ring encodings, wherein the ring in the group ring is itself a group ring. The method is used to algebraically construct series of convolutional codes. Algebraic methods...

< 6 I d m-d m l2 a*s. [5] V.V. Prelov, " Asymptotic behavior of the capacity of a continuous channel with a large amount of noise, " Probl. [ll] A.J. Viterbi, " Very low rate convolutional codes for maximum theoretical performance of spread-spectrum multiple-access channels " , IEEE J.

| It is well known that a convolutional code is essentially a linear system deened over a nite eld. In this paper we elaborate on this connection. We will deene convolutional codes as the dual of a complete linear behavior in the sense of Willems. Using ideas from systems theory we describe a set of generalized rst order descriptions for convolutional codes. As an application of these ideas, we...

A class of geometrically structured quasi-cyclic low-density paritycheck codes with a cylinder structure graph and girth 12 is considered. The parity-check matrix of such a code consists of blocks of zeros and circulant permutation matrices. A class of convolutional codes is assigned to these codes. The convolutional form generator matrix of these codes is obtained by elementary row and column ...