Coding for Communications
C.9.1
Lecture
Streaming Codes

Error Rate Analysis for Random Linear Streaming Codes in the Finite Memory Length Regime

Pin-Wen Su, Yu-Chih Huang, Shih-Chun Lin, I-Hsiang Wang, Chih-Chun Wang

Date & Time

01:00 am – 01:00 am

Abstract

Streaming codes encode a string of source packets and output a string of coded packets in real time, which eliminate the queueing delay of block coding and are thus especially suitable for delay-sensitive applications. This work studies random linear streaming codes (RLSCs) and i.i.d. packet erasure channels. While existing works focused on the asymptotic error-exponent analyses, this work characterizes the error rate in the finite memory length regime and the contributions include: (i) A new information-debt-based description of the error event; (ii) A matrix-based characterization of the error rate; (iii) A closed-form approximation of the error rate that is provably tight for large memory lengths; and (iv) A new Markov-chain-based analysis framework, which can be of independent research interest. Numerical results show that the approximation, i.e. (iii), closely matches the exact error rate even for small memory length (≈ 20). The results can be viewed as a sequential-coding counterpart of the finite length analysis of block coding [Polyanskiy et al. 10] under the specialized setting of RLSCs.


Presenters

Pin-Wen Su

Purdue University

Yu-Chih Huang

National Taipei University

Shih-Chun Lin

National Taiwan University of Science and Technology

I-Hsiang Wang

National Taiwan University, Taipei, Taiwan

Chih-Chun Wang

Purdue University

Session Chair

Viveck Cadambe

Penn State University