An iterative combinational logic synthesis technique using spectral information

The spectral information of a Boolean function provides data regarding the correlation between the input variables and the output of the function. A spectral based methodology for combinational logic synthesis using linear transforms is introduced. An analysis of the properties of the spectra obtained from these transforms is provided and a synthesis algorithm using spectral techniques is presented. This result is significant since it provides an algebraic method for including XOR gates in the synthesis process without resorting to manipulation of symbolic Boolean equations