Addition Aware Quantization for Low Complexity and High Precision Constant Multiplication
Oscar Gustafsson, Fahad Qureshi · IEEE Signal Processing Letters · 2009
Multiplication by constants can be efficiently realized using shifts, additions, and subtractions. In this work we consider how to select a fixed-point value for a real valued, rational, or floating-point coefficient to obtain a low-complexity realization. It is shown that the process, denoted addition aware quantization, often can determine coefficients that has as low complexity as the rounded value, but with a smaller approximation error by searching among coefficients with a longer wordlength.