UEP-Optimal Convolutional Encoders with Smallest McMillan Degree

Abstract

In this paper, convolutional encoders are studied for unequal error protection (UEP) from an algebraic theoretical viewpoint. Given any convolutional code, UEP-optimal encoders with the smallest McMillan degree are constructed to minimize the coding complexity. The noncatastrophic property of encoder is also maintained to avoid the undesired catastrophic propagation of decoding errors.