A fast signature computation algorithm for LFSR and MISR

A multiple-input signature register (MISR) computation algorithm for fast signature simulation is proposed. Based on the table look-up linear compaction algorithm and the modularity property of a single-input signature register (SISR), some new accelerating schemes—partial-input look-up tables and flying-state look-up tables—are developed to boost the signature computation speed. Mathematical analysis and simulation results show that this algorithm has an order of magnitude speedup without extra memory requirement compared with the original linear compaction algorithm. Though this algorithm is derived for SISR, a simple conversion scheme exists that can convert internal-EXOR MISR to SISR. Consequently, fast MISR signature computation can be done.