1.2 Almost-Periodic Functions
In this section, definitions and main results on almost-periodic (AP) functions and their generalizations are presented for both continuous-and discrete-time cases. For extensive treatments on almost-periodic functions, see (Besicovitch 1932), (Bohr 1933), and (Corduneanu 1989) for continuous-time, and (Corduneanu 1989, Chapter VII), (Jessen and Tornehave 1945), and (von Neumann 1934) for discrete-time.
1.2.1 Uniformly Almost-Periodic Functions
Definition 1.2.1 (Besicovitch 1932, Chapter 1). A function z(t), 
, is said to be uniformly almost-periodic if 
such that for any interval 
such that
(1.51) 
The quantity 
is said translation number of z(t) corresponding to 
. 
A set is said to be relatively dense in if such that the result is that D∩ I ≠ .
Thus, defined ...
Get Generalizations of Cyclostationary Signal Processing: Spectral Analysis and Applications 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.
