O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4.8 LAPLACE TRANSFORM OF TWO-SIDED FUNCTIONS (BLT)

Let us discuss about the Laplace transform of two-sided function. Let us first consider a negative function and then a positive function. Then we will consider the two-sided function.

4.8.1 ROC for f(t) = ebtu(−t)

Let us consider a function f (t) = ebtu(–t) which has been shown in Fig. 4.6. This a negative function of time and b is a positive quantity.

 

f (t) = ebtu(–t)

 

Fig. 4.6 f (t) = ebtu(–t)

 

The Laplace transform of this function is given by

 

image

 

 

will be zero if and only if σ < b.

 

 

where ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required