Reed-Solomon Erasure Codec Design Using Vivado High-Level Synthesis Application Note (XAPP1273)

RS + LDPC-Staircase codes for the erasure channel: Standards, usage and performance

Application-Level Forward Erasure Correction (AL-FEC) codes are a key element of telecommunication systems. They are used to recover from packet losses when retransmission are not feasible and to optimize the large scale distribution of contents. In this paper we introduce Reed-Solomon/LDPCStaircase codes, two complementary AL-FEC codes that have recently been recognized as superior to Raptor c...

Demystifying the Lucas-Kanade Optical Flow Algorithm with Vivado HLS Application Note (XAPP1300)

The Lucas-Kanade (LK) algorithm for dense optical flow estimation is a widely known and adopted technique for object detection and tracking in image processing applications. This algorithm is computationally intensive and its implementation in an FPGA is challenging from both a design and a performance perspective. This application note describes how to implement the LK algorithm with the Xilin...

Algebraic Soft-Decision Decoding of Reed-Solomon Codes Using Bit-level Soft Information

The performance of algebraic soft-decision decoding (ASD) of Reed-Solomon (RS) codes using bit-level soft information is investigated. Optimal multiplicity assignment strategies (MAS) of ASD with infinite cost are first studied over erasure channels and binary symmetric channels (BSC). The corresponding decoding radii are calculated in closed forms and tight bounds on the error probability are ...

Designing a Digital Up-Converter using Modular C++ Classes in Vivado High Level Synthesis Application Note (XAPP1299)

Design and Evaluation of a Low Density Generator Matrix (LDGM) Large Block FEC Codec

Traditional small block Forward Error Correction (FEC) codes, like the Reed-Solomon erasure (RSE) code, are known to raise efficiency problems, in particular when they are applied to the Asynchronous Layered Coding (ALC) reliable multicast protocol. In this paper we describe the design of a simple large block Low Density Generator Matrix (LDGM) codec, a particular case of LDPC code, which is ca...