Detecting Linear Block Codes in Noise using the GLRT

TL;DR

This paper introduces a GLRT-based method for identifying known binary linear block codes in noisy data, providing formulas for codeword detection and comparison with existing techniques.

Contribution

The paper presents a novel GLRT approach for detecting linear block codes in noise and derives an approximate formula for the required number of codewords, improving detection strategies.

Findings

Effective detection of linear block codes in noisy environments.

Derived an approximate formula for the number of codewords needed.

Compared the proposed method with existing detection techniques.

Abstract

In this paper, we consider the problem of distinguishing the noisy codewords of a known binary linear block code from a random bit sequence. We propose to use the generalized likelihood ratio test (GLRT) to solve this problem. We also give a formula to find approximate number of codewords required and compare our results with an existing method.