Minimal State-Space Representation of Convolutional Product Codes

Abstract

In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present a systematic procedure to build such representation with minimal dimension, i.e., reachable and observable.

Keywords

• convolutional code
• generator matrix
• state-space representation
• minimal representation
• product code