{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Z-Transform - Tom Penick [email protected]

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Tom Penick [email protected] www.teicontrols.com/notes 4/4/98 THE Z-TRANSFORM Fundamentals of the Z-Transform The z-transform simplifies the analysis of linear time-invariant discrete-time (LTID) systems. It converts equations with integrals and derivatives into algebraic equations. The z-transform method of analyzing discrete-time systems is comparable to the Laplace transform method of analyzing continuous-time systems. THE UNILATERAL Z-TRANSFORM The unilateral z-transform is capable of analyzing only causal systems with causal inputs (signals starting at k = 0). ∑ ∞ =- ≡ ] [ ] [ k k z k f z F where: F [ z ] is the z-transform z is complex in general f [ k ] is a discrete-time signal THE INVERSE Z-TRANSFORM ∫- π = dz z z F j k f k 1 ] [ 2 1 ] [ where: ∫ indicates integration around a circular path in the complex plane centered at the origin F [ z ] is the z-transform z is complex in general f [ k ] is a discrete-time signal THE BILATERAL Z-TRANSFORM The bilateral z-transform is capable of analyzing both causal and non-causal systems.The bilateral z-transform is capable of analyzing both causal and non-causal systems....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Z-Transform - Tom Penick [email protected]

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online