Title :
Minimal, minimal-basic, and locally invertible convolutional encoders
Author :
Dholakia, Ajay ; Bitzer, Donald L. ; Koorapaty, Havish ; Vouk, Mladen A.
Author_Institution :
Dept. of Comput. Sci., North Carolina State Univ., Raleigh, NC, USA
Abstract :
Rate-k/n locally invertible convolutional encoders are defined. It is shown that a basic locally invertible encoder is minimal-basic. Local invertibility is used to re-derive Forney´s (1973) upper and lower bounds on the maximum number of consecutive all zero branches in a convolutional codeword. A time-domain test for minimality of an encoder is given
Keywords :
convolutional codes; time-domain analysis; consecutive all zero branches; convolutional codeword; locally invertible convolutional encoders; lower bounds; minimal encoder; minimal-basic encoder; rate-k/n encoders; time-domain minimality test; upper bounds; Character generation; Convolutional codes; Linear algebra; Polynomials; Testing; Time domain analysis;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.531513