Title

ANALYTIC DESIGN OF CONVOLUTIONAL ENCODERS.

Document Type

Conference Proceeding

Date of Original Version

12-1-1986

Abstract

Summary form only given. Binary convolutional encoders are classified by their constraint length L, the number of input bits k, and the number of output bits n with the coder's details contained in an L multiplied by n binary interconnection matrix H (with rows h//i ). Performance is typically measured through free distance. An analytuc approach is presented to the maximization of free distance which a priori fixes only L and k. The technique first computes the free distance as a function of the L unknown rows of H and then selects the h//i to maximize this function. It involves specifying the encoder's state diagram (with branch weights being functions of the //i ) and computing the encoders transfer function through Mason's gain formula, keeping only those terms relevant to the free distance. An example is given.

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