Shift Theorem
Next 
Prev 
Up 
Top

Index 
JOS Index 
JOS Pubs 
JOS Home 
Search
Shift Theorem
The shift theorem says that a delay of samples
in the time domain corresponds to a multiplication by
in the frequency domain:
S
HIFT
or, using more common notation,
Thus,
, which is the waveform delayed by
samples, has the z transform
.
Proof:
where we used the causality assumption for .
Next 
Prev 
Up 
Top

Index 
JOS Index 
JOS Pubs 
JOS Home 
Search
[How to cite this work] [Order a printed hardcopy]