An intuitive shortcut to understanding the maximum a posteriori (MAP) decoder is presented
based on an approximation. This is shown to correspond to a dual-maxima computation …

Several improved turbo code apparatuses and methods. The invention encompasses
several classes:(1) A data source is applied to tWo or more encoders With an interleaver …

We introduce a simple technique for analyzing the iterative decoder that is broadly
applicable to different classes of codes defined over graphs in certain fading as well as …

We track the density of extrinsic information in iterative turbo decoders by actual density
evolution, and also approximate it by symmetric Gaussian density functions. The …

The goal of this article is to describe the main ideas behind the new class of codes called
turbo codes, whose performance in terms of bit error probability has been shown to be very …

Channel coding plays a pivotal role in ensuring reliable communication over wireless
channels. With the growing need for ultra-reliable communication in emerging wireless use …

We study the use of turbo-coded modulation for wireless communication systems with
multiple transmit and receive antennas over block Rayleigh fading channels. We describe …

More than ten years after their introduction, turbo Codes are now a mature technology that
has been rapidly adopted for application in many commercial transmissions systems. This …

This article proposes a simple stopping criterion for turbo decoding that extends the existing
sign change ratio (SCR) technique. The new sign difference ratio (SDR) criterion counts the …

This article presents an efficient error-control code (ECC) and modulation for an optical
communications channel. The coded modulation is designed to support NASA's Mars Laser …