Floating-point implementation of complex multiplication
Earl E. Swartzlander, Hani H. Saleh · 2009
This paper extends the consideration of fused floating-point arithmetic to complex multiplication, an operation that is frequently used in DSP. There are two basic approaches to complex multiplication: (1) the conventional method that uses 4 real multiplies and 2 real adds and (2) Golub's method that uses 3 real multiplies and 5 real additions. This paper compares discrete implementations using individual floating-point adders and multipliers with implementations that use fused operations (fused dot product, fused add-subtract and combinations of the two).