We present a theoretical framework for rotational invariance of trellis codes. The distinction between codes and encoders plays a pivotal role. Necessary and sufficient conditions for rotational invariance are derived under general assumptions, and a construction is presented that obtains a rotationally invariant encoder for almost any rotationally invariant code, independent of the code's algebraic structure. Encoders that use a differential precoder are considered as a separate case, where a system-theoretic characterization of precoding is used to find two alternative and slightly less general encoder construction.
Rotational invariance of trellis codes. I: Encoders and precoders / M. D., Trott; Benedetto, Sergio; Garello, Roberto; Mondin, Marina. - In: IEEE TRANSACTIONS ON INFORMATION THEORY. - ISSN 0018-9448. - STAMPA. - 42:3(1996), pp. 751-765. [10.1109/18.490542]
Rotational invariance of trellis codes. I: Encoders and precoders
BENEDETTO, Sergio;GARELLO, Roberto;MONDIN, Marina
1996
Abstract
We present a theoretical framework for rotational invariance of trellis codes. The distinction between codes and encoders plays a pivotal role. Necessary and sufficient conditions for rotational invariance are derived under general assumptions, and a construction is presented that obtains a rotationally invariant encoder for almost any rotationally invariant code, independent of the code's algebraic structure. Encoders that use a differential precoder are considered as a separate case, where a system-theoretic characterization of precoding is used to find two alternative and slightly less general encoder construction.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1402471
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