Define a function - can anyone help me?

Status
Not open for further replies.
V

Vauxdvihl

Member level 5
Joined
Dec 31, 1999
Messages
94
Helped
0
Reputation
0
Reaction score
0
Trophy points
1,286
Activity points
611
Define a function

Hi friends,

can somebody help to define the following function in the time domain (with A*exp(-_*_)+b*exp(-_*_)...........etc. ?

The function called:

1+s*0.5133154
f(s)=----------------------------------------------------
s^2*0.0010266308+s*0.30998924+4.4


Thank you very much for your help !!

Regards
 

using matlab (if you do not want to do it by hand, out of laziness):

a=[0.5133154 1];
b=[0.0010266308 0.30998924 4.4];
[r,p,k]=residue(a,b)

yileds:
r=[523.8611 -23.8611]
p=[-287.0156 -14.9325]
k=[]

meaning that:
your transfer function could be expanded into partial fraction expansion as:
r(1)/(s-p(1)) + r(2)/(s-p(2)) + K
=523.8611/(s+287.0156 ) - 23.8611/(s+14.9325)

now, converting back to time domain:
=r(1)*exp(-j*p(1)) + r(2)*exp(-j*p(2))

you now the rest

cheers...
 

i meant: exp(-j*p(1)*t) ...etc (note the t I missed in the above work)

I guess you now.
 

Hi,
Post such questions may be in Google groups or any such place or in beginners sections.
brmadhukar
 

Status
Not open for further replies.

Similar threads

Menu
Log in
Register
Cookies are required to use this site. You must accept them to continue using the site. Learn more…