In 1997 Rosenthal and York defined generalized Hamming weights for convolutional codes, by regarding a code as an infinite dimensional linear endowed with the metric. this paper, we propose new definition of that takes into account underlying module structure code. We derive basic properties our discuss relation previous definition. establish upper bounds on weight hierarchy MDS MDP codes show ...

Flexible and low-complexity variable rate coding schemes based on rate-compatible convolutional codes are presented. The codes have a wide range of code rates and are optimized for good performance on both AWGN and Rayleigh fading channels. Furthermore, the application of these codes for rate matching, combined coding and spreading in a DS-CDMA system and hybrid type-II ARQ schemes are demonstr...

Distance spectrum is the main factor in determining the event error probability when maximum-likelihood decoding is used for convolutional codes [13]. In this paper we compute the distance spectrum for the best R=1/N channel codes obtained using convolutional (linear trellis) codes together with known offset sequence addition on precoded partial-response 1−D channel proposed in [4]. To this end...

Maximum distance profile codes are characterized by the property that two trajectories which start at the same state and proceed to a different state will have the maximum possible distance from each other relative to any other convolutional code of the same rate and degree. In this paper we use methods from systems theory to characterize maximum distance profile codes algebraically. The main r...

Flexible and low-complexity variable rate coding schemes based on rate-compatible convolutional codes are presented. The codes have a wide range of code rates and are optimized for good performance on both AWGN and Rayleigh fading channels. Furthermore, the application of these codes for rate matching, combined coding and spreading in a DS-CDMA system and hybrid type-II ARQ schemes are demonstr...

| We study the performance of turbo codes for magnetic recording channels using realistic channel models. Our main objective is to provide a benchmark for the future studies on the subject. We examine a variety of schemes including the use of parallel concatenated turbo codes with and without turbo equalization and convolutional codes with an interleaver (can be regarded as a serial concatenati...