Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Help me get the inverse laplace transform

Status
Not open for further replies.

Kral

Advanced Member level 4
Joined
Mar 28, 2005
Messages
1,326
Helped
280
Reputation
558
Reaction score
85
Trophy points
1,328
Location
USA
Activity points
13,418
I need the Inverse LaPlace transform of G(s) = s/((s-a)^2 + b^2), where a, b are constants. I can't find it in the tables. However I can find the Inverse transform of G(s) = 1/((s-a)^2 + b^2). It's (1/b)(exp(at)(sin(bt)). I know that multiplication by s in the s domain is equivalent to differentiating in the time domain. So I found the inverse transform by differentiating (1/b)(exp(at)(sin(bt)). Is this valid?
Thanks
 

_Eduardo_

Full Member level 5
Joined
Aug 31, 2009
Messages
295
Helped
118
Reputation
238
Reaction score
103
Trophy points
1,323
Location
Argentina
Activity points
2,862
Re: Laplace Transform

Kral said:
... However I can find the Inverse transform of G(s) = 1/((s-a)^2 + b^2). It's (1/b)(exp(at)(sin(bt)). I know that multiplication by s in the s domain is equivalent to differentiating in the time domain. So I found the inverse transform by differentiating (1/b)(exp(at)(sin(bt)). Is this valid?
Yes.

If you have problems with the inverse transforms, try WolframAlpha

https://www.wolframalpha.com/input/?i=InverseLaplaceTransform[s%2F%28%28s+-+a%29^2+%2B+b^2%29%2C+s%2C+t]
 

    Kral

    Points: 2
    Helpful Answer Positive Rating

Kral

Advanced Member level 4
Joined
Mar 28, 2005
Messages
1,326
Helped
280
Reputation
558
Reaction score
85
Trophy points
1,328
Location
USA
Activity points
13,418
Re: Laplace Transform

_Eduardo,
Thanks for the tip. I'm sure that this site will be useful to me in the future.
Regards,
Kral
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Top