Relevant signature analysis properties for elementary one-dimensional cellular automata are presented. It is found that cellular automata with cyclic-group rules provide signature analysis properties comparable to the LFSR (linear feedback shift register). A technique of using CALBO (cellular automata-based logic block observation) for both test pattern generation and signature analysis, in a similar manner to a typical BILBO (built-in block observation) implementation, is presented.>

The authors demonstrate that one-dimensional (1-D) cellular automata (CA) form the basis of efficient VLSI architectures for computations involved in the Monte Carlo simulation of the two-dimensional (2-D) Ising model. It is shown that the time-intensive task of importance sampling the Ising configurations is expedited by the inherent parallelism in this approach. The CA architecture further provides a spatially distributed set of pseudorandom numbers that are required in the local nondeterministic decisions at the various sites in the array. The novel approach taken to random-number generation can also be applied to a variety of other highly nondeterministic algorithms from many fields, such as computational geometry, pattern recognition, and artificial intelligence.>

A novel random number generation (RNG) architecture of particular importance in VLSI for fine-grained parallel processing is proposed. It is demonstrated that efficient parallel pseudorandom sequence generation can be accomplished using certain elementary one-dimensional cellular automata (two binary states per site and only nearest-neighbor connections). The pseudorandom numbers appear in parallel from various cells in the cellular automaton on each clock cycle and pass standard empirical random number tests. Applications have been demonstrated in the design and analysis of special-purpose accelerators for Monte Carlo simulation of large intractable systems. In addition, significant advantages in pseudorandom built-in self-test of VLSI circuits using cellular automata based RNGs have been demonstrated.>

A variation on a built-in self-test technique is presented that is based on a distributed pseudorandom number generator derived from a one-dimensional cellular automata (CA) array. The cellular automata-logic-block-observation circuits presented are expected to improve upon conventional design for testability circuitry such as built-in logic-block operation as a direct consequence of reduced cross correlation between the bit streams that are used as inputs to the logic unit under test. Certain types of circuit faults are undetectable using the correlated bit streams produced by a conventional linear-feedback-shift-register (LFSR). It is also noted that CA implementations exhibit data compression properties similar to those of the LFSR and that they display locality and topological regularity, which are important attributes for a very large-scale integration implementation. It is noted that some CAs may be able to generate weighted pseudorandom test patterns. It is also possible that some of the analysis of pseudorandom testing may be more directly applicable to CA-based pseudorandom testing than to LFSR-based schemes.>