(The complex plane)
(The complex plane)
Line 4: Line 4:
 
== The complex plane ==
 
== The complex plane ==
 
In order to get further insight into the relationship between the Fourier Transform and the Z-Transform it is useful to look at the complex plane or z-plane. Take a look at the complex plane:  
 
In order to get further insight into the relationship between the Fourier Transform and the Z-Transform it is useful to look at the complex plane or z-plane. Take a look at the complex plane:  
 +
 
[[Image:zplane1_ECE301Fall2008mboutin.jpg]]
 
[[Image:zplane1_ECE301Fall2008mboutin.jpg]]

Revision as of 16:15, 3 December 2008

Basic definition of the Z-Transform

The Z-transform of a sequence is defined as $ H(z) = \sum^{\infty}_{n = -\infty} h[n]z^{-n} $

The complex plane

In order to get further insight into the relationship between the Fourier Transform and the Z-Transform it is useful to look at the complex plane or z-plane. Take a look at the complex plane:

Zplane1 ECE301Fall2008mboutin.jpg

Alumni Liaison

Followed her dream after having raised her family.

Ruth Enoch, PhD Mathematics