2006Unpublished venueRequires access

High Speed Decoding of Serial Concatenated Codes

Jean‐Baptiste Doré, Marie‐Hélène Hamon, Pierre Penard

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Abstract

This paper proposes a code design method for a particular class of serial concatenated codes named Systematic with Serially Concatenated Parity (S-SCP) codes. Using a par- ticular family of S-SCP codes based on quasi cyclic code, we propose a code design taking into account both implementation and performance requirements. This design enables a particular scheduling of the decoding process enabling the reduction of the number of parallelized processes required to meet a target throughput. I. INTRODUCTION Turbo-like codes including Low-Density Parity Check (LDPC) and concatenated convolutional codes, have raised a significant interest in the past few year. Hybrid concatenated codes like Hybrid Concatenated Convolutional (HCC) codes, which were first introduced in (1), represent a new class of code construction. A particularly interesting family of code construction from the concatenation of three codes is described in (2) and is labelled Systematic with Serially Concatenated Parity (S-SCP) codes. In this paper we propose to define a sub class of S-SCP codes based on quasi cyclic constituent codes which have interesting properties from the implementation point of view. Scheduling strategies for decoding are then in- vestigated, which aim to optimize throughput while accounting for implementation requirements, such as memory conflicts and pipeline processing. Finally we illustrate the advantages of this code construction through a code design example. II. S-SCP CODES A. Definition S-SCP codes can be viewed either as serially concatenated convolutional codes or structured LDPC codes. This S-SCP structure intends to combine advantages of both Turbo and LDPC codes. The S-SCP structure is built from the concatenation of an outer code, an interleaver and an Inner Parity Generator (IPG) as depicted on Figure 1. The inner parity generator is obtained

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This paper proposes a code design method for a particular class of serial concatenated codes named Systematic with Serially Concatenated Parity (S-SCP) codes. Using a par- ticular family of S-SCP codes based on quasi cyclic code, we propose a code design taking into account both implementation and performance requirements. This design enables a particular scheduling of the decoding process enabling the reduction of the number of parallelized processes required to meet a target throughput. I. INTRODUCTION Turbo-like codes including Low-Density Parity Check (LDPC) and concatenated convolutional codes, have raised a significant interest in the past few year. Hybrid concatenated codes like Hybrid Concatenated Convolutional (HCC) codes, which were first introduced in (1), represent a new class of code construction. A particularly interesting family of code construction from the concatenation of three codes is described in (2) and is labelled Systematic with Serially Concatenated Parity (S-SCP) codes. In this paper we propose to define a sub class of S-SCP codes based on quasi cyclic constituent codes which have interesting properties from the implementation point of view. Scheduling strategies for decoding are then in- vestigated, which aim to optimize throughput while accounting for implementation requirements, such as memory conflicts and pipeline processing. Finally we illustrate the advantages of this code construction through a code design example. II. S-SCP CODES A. Definition S-SCP codes can be viewed either as serially concatenated convolutional codes or structured LDPC codes. This S-SCP structure intends to combine advantages of both Turbo and LDPC codes. The S-SCP structure is built from the concatenation of an outer code, an interleaver and an Inner Parity Generator (IPG) as depicted on Figure 1. The inner parity generator is obtained

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Available abstract

This paper proposes a code design method for a particular class of serial concatenated codes named Systematic with Serially Concatenated Parity (S-SCP) codes. Using a par- ticular family of S-SCP codes based on quasi cyclic code, we propose a code design taking into account both implementation and performance requirements. This design enables a particular scheduling of the decoding process enabling the reduction of the number of parallelized processes required to meet a target throughput. I. INTRODUCTION Turbo-like codes including Low-Density Parity Check (LDPC) and concatenated convolutional codes, have raised a significant interest in the past few year. Hybrid concatenated codes like Hybrid Concatenated Convolutional (HCC) codes, which were first introduced in (1), represent a new class of code construction. A particularly interesting family of code construction from the concatenation of three codes is described in (2) and is labelled Systematic with Serially Concatenated Parity (S-SCP) codes. In this paper we propose to define a sub class of S-SCP codes based on quasi cyclic constituent codes which have interesting properties from the implementation point of view. Scheduling strategies for decoding are then in- vestigated, which aim to optimize throughput while accounting for implementation requirements, such as memory conflicts and pipeline processing. Finally we illustrate the advantages of this code construction through a code design example. II. S-SCP CODES A. Definition S-SCP codes can be viewed either as serially concatenated convolutional codes or structured LDPC codes. This S-SCP structure intends to combine advantages of both Turbo and LDPC codes. The S-SCP structure is built from the concatenation of an outer code, an interleaver and an Inner Parity Generator (IPG) as depicted on Figure 1. The inner parity generator is obtained

Key concepts: Concatenated error correction code, Serial concatenated convolutional codes, Turbo code, Computer science, Low-density parity-check code, Linear code, Block code, Tornado code

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