Skip to content Skip to navigation

Connexions

You are here: Home » Content » Table of Common Laplace Transforms

Navigation

Content Actions
  • Download module PDF
  • Add to ...
    Add the module to:
    • My Favorites
    • A lens
    • An external social bookmarking service
    • My Favorites (What is 'My Favorites'?)
      'My Favorites' is a special kind of lens which you can use to bookmark modules and collections directly in Connexions. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need a Connexions account to use 'My Favorites'.
    • A lens (What is a lens?)

      Definition of a lens

      Lenses

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

      What is in a lens?

      Lens makers point to Connexions 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 Connexions member, a community, or a respected organization.

    • External bookmarks
  • E-mail the authors

Lenses

What is a lens?

Definition of a lens

Lenses

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

What is in a lens?

Lens makers point to Connexions 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 Connexions member, a community, or a respected organization.

This content is ...

In these lenses

  • richb's DSP

    This module is included inLens: richb's DSP resources
    By: Richard BaraniukAs a part of collection:"Signals and Systems"

    Comments:

    "My introduction to signal processing course at Rice University."

    Click the "richb's DSP" link to see all content selected in this lens.

Recently Viewed

Tags

(What is a tag?)

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

Table of Common Laplace Transforms

Module by: Melissa Selik, Richard Baraniuk

Summary: Lists signal and region of convergence for several Laplace transforms.

Signal Laplace Transform Region of Convergence
δt δ t 1 1 All ss
δt-T δ t T ⅇ-sT s T All ss
ut u t 1s 1 s ℜs>0 s 0
-u-t u t 1s 1 s ℜs<0 s 0
tut t u t 1s2 1 s 2 ℜs>0 s 0
tnut t n u t n!sn+1 n s n 1 ℜs>0 s 0
-tnu-t t n u t n!sn+1 n s n 1 ℜs<0 s 0
ⅇ-λtut λ t u t 1s+λ 1 s λ ℜs>-λ s λ
-ⅇ-λtu-t λ t u t 1s+λ 1 s λ ℜs<-λ s λ
tⅇ-λtut t λ t u t 1s-λ2 1 s λ 2 ℜs>-λ s λ
tnⅇ-λtut t n λ t u t n!s+λn+1 n s λ n 1 ℜs>-λ s λ
-tnⅇ-λtu-t t n λ t u t n!s+λn+1 n s λ n 1 ℜs<-λ s λ
cosbtut b t u t ss2+b2 s s 2 b 2 ℜs>0 s 0
sinbtut b t u t bs2+b2 b s 2 b 2 ℜs>0 s 0
ⅇ-atcosbtut a t b t u t s+as+a2+b2 s a s a 2 b 2 ℜs>-a s a
ⅇ-atsinbtut a t b t u t bs+a2+b2 b s a 2 b 2 ℜs>-a s a
dndtnδt t n δ t sn s n All ss

Comments, questions, feedback, criticisms?

Send feedback