Skip to content Skip to navigation


You are here: Home » Content » Table of Common Unilateral Z-Transforms


Recently Viewed

This feature requires Javascript to be enabled.


(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.

Table of Common Unilateral Z-Transforms

Module by: Melissa Selik, Richard Baraniuk. E-mail the authors

Summary: Lists several time-domain signals and z-transforms.

Note: You are viewing an old version of this document. The latest version is available here.

Time-Domain Signal Z-Transform
δkj δ k j zj z j
uk u k z(z1) z z 1
kuk k u k zz12 z z 1 2
k2uk k 2 u k z(z+1)z13 z z 1 z 1 3
k3uk k 3 u k z(z2+4z+1)z14 z z 2 4 z 1 z 1 4
γk1uk1 γ k 1 u k 1 1(zγ) 1 z γ
γkuk γ k u k z(zγ) z z γ
kγkuk k γ k u k γzzγ2 γ z z γ 2
k2γkuk k 2 γ k u k γz(z+γ)zγ3 γ z z γ z γ 3
( n =1mkn+1γmm!)γkuk n 1 m k n 1 γ m m γ k u k zzγm+1 z z γ m 1
|γ|kcosβkuk γ k β k u k z(z|γ|cosβ)z2(2|γ|cosβ)z+|γ|2 z z γ β z 2 2 γ β z γ 2
|γ|ksinβkuk γ k β k u k z|γ|sinβz2(2|γ|cosβ)z+|γ|2 z γ β z 2 2 γ β z γ 2

Content actions

Download module as:

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens


A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks