Systems and methods for enumerative encoding and decoding of maximum-transition-run codes and PRML (G,I,M) codes

摘要

Systems and methods for encoding/decoding are provided. The systems and methods include encoding a stream of K-bit input sequences into a stream of (G, I, M)-constrained 2N-bit output sequences by transforming each K-bit input bit sequence into two separate data paths including even and odd bits. Enumerative maximum-transition-run (eMTR) encoding of the even bits generates constrained even bits, and enumerative maximum-transition-run (MTR) encoding of the odd bits generates constrained odd bits. The constrained even and constrained odd bits are interleaved to form a stream of (G, I, M)-constrained 2N-bit output sequences where G is a global constraint, I is an interleave constraint, and M is a variable frequency oscillator constraint of a partial-response maximum-likelihood (PRML) codeword. Decoding systems and methods are also provided.