Optimization of design complexity in time-multiplexed constant multiplications

The multiplication of constants by a data input is an essential operation in digital signal processing (DSP) systems. For applications requiring a large number of constant multiplications under stringent hardware constraints, it is generally realized under a folded architecture, where a single constant selected from a set of multiple constants is multiplied by the data input at each time, called time-multiplexed constant multiplication (TMCM). This paper addresses the problem of optimizing the complexity of a TMCM design and introduces an algorithm that finds the least complex TMCM design by sharing the logic operators, i.e., adders, subtractors, adders/subtractors, and multiplexors (MUXes). It includes efficient search methods, yielding better results than existing TMCM algorithms.