Design of very deep pipelined multipliers for FPGAs

This work investigates the use of very deep pipelines for implementing circuits in FPGAs, where each pipeline stage is limited to a single FPGA logic element (LE). The architecture and VHDL design of a parameterized integer array multiplier is presented and also an IEEE 754 compliant 32-bit floating-point multiplier. We show how to write VHDL cells that implement such approach, and how the array multiplier architecture was adapted. Synthesis and simulation were performed for Altera Apex20KE devices, although the VHDL code should be portable to other devices. For this family, a 16 bit integer multiplier achieves a frequency of 266 MHz, while the floating point unit reaches 235 MHz, performing 235 MFLOPS in an FPGA. Additional cells are inserted to synchronize data, what imposes significant area penalties. This and other considerations to apply the technique in real designs are also addressed.