Minimal State-Space Representation of Convolutional Product Codes

Joan‐Josep Climent, Diego Napp, Raquel Pinto, Verónica Requena · Mathematics · 2021

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.

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