Polynomial Arithmetic Using Sequential Stochastic Logic

We present the design of stochastic computing systems based on sequential logic to implement arbitrary polynomial functions. Stochastic computing is an emerging alternative computing paradigm that performs arithmetic operations on real-valued data represented as random bitstreams using digital logic gates. Stochastic computing systems are capable of realizing complex mathematical operations using a small number of hardware resources by expressing the computation in terms of probabilities. Moreover, the stochastic representation of data using random bitstreams is extremely robust against bit errors. We present a systematic approach to implement arbitrary polynomial functions in stochastic computing using sequential logic, and compare our approach against prior conventional and stochastic implementations.