Number of spectral coefficients necessary to identify a class of Boolean functions |
| |
Authors: | Muzio J Miller DM Hurst SL |
| |
Affiliation: | University of Manitoba, Department of Computer Science, Winnipeg, Canada; |
| |
Abstract: | It is well known that only n+1 spectral coefficients, the Chow or modified-Chow parameters, are necessary to uniquely define any given linearly separable (threshold) function. It is here shown that n+1 coefficients only are necessary to define a much wider class of Boolean functions, namely all Boolean functions which can be realised from a threshold-logic core function with pre- and postlinear-translation operations. The use of n+1 spectral coefficients as a fault signature for all such functions is therefore possible. |
| |
Keywords: | |
|
|