Next |
Prev |
Up |
Top
|
Index |
JOS Index |
JOS Pubs |
JOS Home |
Search
Shift Operator
The shift operator is defined by
and
denotes the entire shifted signal. Note that
since indexing is modulo
, the shift is circular (or
``cyclic''). However, we normally use it to represent time
delay by
samples. We often use the shift operator in
conjunction with zero padding (appending zeros to the signal
, §7.2.7) in order to avoid the ``wrap-around''
associated with a circular shift.
Figure 7.2:
Successive one-sample shifts of a
sampled periodic sawtooth waveform having first period
.
![\includegraphics[width=\twidth]{eps/shift}](img1146.png) |
Figure 7.2 illustrates successive one-sample delays of a periodic signal
having first period given by
.
Subsections
Next |
Prev |
Up |
Top
|
Index |
JOS Index |
JOS Pubs |
JOS Home |
Search
[How to cite this work] [Order a printed hardcopy] [Comment on this page via email]