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From LDPC Block to LDPC Convolutional Codes: Capacity, Stability, and Universality

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The Stability Condition of LDPC Codes Under MAP Decoding

Rüdiger Urbanke, Wei Liu

We determine the stability condition of low-density parity-check codes under both bitwise and blockwise maximum a posteriori decoding. As a consequence, we prove that the stability condition determines an upper bound on both the bitwise and the blockwise m ...

IEEE2018

, , ,

Consider a binary linear code of length N, minimum distance d(min), transmission over the binary erasure channel with parameter 0 < epsilon < 1 or the binary symmetric channel with parameter 0 < epsilon < 1/2, and block-MAP decoding. It was shown by Tillic ...

IEEE2018

Design of LDPC Codes for the Unequal Power Two-User Gaussian Multiple Access Channel

Alexios Konstantinos Balatsoukas Stimming

In this letter, we describe an LDPC code design framework for the unequal power two-user Gaussian multiple access channel using EXIT charts. We show that the sumrate of the LDPC codes designed using our approach can get close to the maximal sum-rate of the ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018

On the Tradeoff Between Accuracy and Complexity in Blind Detection of Polar Codes

Andreas Peter Burg, Alexios Konstantinos Balatsoukas Stimming, Pascal Giard

Polar codes are a recent family of error-correcting codes with a number of desirable characteristics. Their disruptive nature is illustrated by their rapid adoption in the 5 th-generation mobile-communication standard, where they are used to protect contro ...

IEEE2018

In the problem of private information retrieval with side information, a single user wants to recover one of the K independent messages which are stored at one or multiple servers. The user initially has a subset of messages as side information. The goal o ...

2018

Fast Low-Complexity Decoders for Low-Rate Polar Codes

Alexios Konstantinos Balatsoukas Stimming, Pascal Giard

Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to better accommoda ...

2018

Fast-SSC-Flip Decoding of Polar Codes

Andreas Peter Burg, Pascal Giard

Polar codes are widely considered as one of the most exciting recent discoveries in channel coding. For short to moderate block lengths, their error-correction performance under list decoding can outperform that of other modern error-correcting codes. Howe ...

2018

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We present a coding paradigm that provides a new achievable rate for the primitive relay channel by combining compress-and-forward and decode-and-forward with a chaining construction. In the primitive relay channel model, the source broadcasts a message to ...

IEEE2018

Near-Optimal Noisy Group Testing via Separate Decoding of Items

Volkan Cevher, Jonathan Mark Scarlett

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of tests, and is relevant in applications such as medical testing, communication protocols, pattern matching, and more. In this pa ...

2018

Hybrid Coding Scheme for Brillouin Optical Time-domain Analysis Based on Golay and Differential Pulses

Luc Thévenaz, Marcelo Alfonso Soto Hernandez, Zhisheng Yang, Zonglei Li

A hybrid Golay coding method based on differential pulse-pair sequences is proposed for distributed Brillouin sensing. The method provides 1.5 dB signal-to-noise ratio improvement over unipolar Golay with halved measurement time, securing high spatial reso ...

Optical Society of America2018