ACRONYMS

G Finite group of order g = |G| (usually direct product of m groups Gi of orders gi =|Gi|)
C2 Cyclic group of order 2
image. Direct product of m cyclic groups C2, also called the finite dyadic group of order 2m
Cp Cyclic group of order p
image. Direct product of m copies of Cp
χw Character of G with the index w
uw Unitary irreducible representation of G with the index w
P Field
C Field of complex numbers
R Field of real numbers
Z Set of integers
GF(pm) Field of p-ary m-dimensional vectors
z Variable in P
z = (z0, …, zm−1) Componentwise representation of z on image.
||z|| Hamming norm of z (number of non-zero components in the componentwise representation of z)
f(z) Function over P in the variable z G
f (z0, …,zm−1) Function over P of m variables zi Gi
f = (f(0), …,f(k−1)) System of k functions also called a k-output function f
f (z) Integer function corresponding to a k-output function f image.
Φ(z) Piecewise constant function corresponding toa k-output function f
Ww(z) Discrete Walsh function of the index w and the argument z
W(m) (2m × 2m) Walsh ...

Get Spectral Logic and Its Applications for the Design of Digital Devices now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.