How Is the ROC Right of the Rightmost Pole When There's a Pole at -2?

Thread starter reddvoid
Start date Sep 30, 2011
Tags

Laplace Laplace transform Transform

In summary, a Laplace transform problem involves transforming a function from the time domain to the frequency domain using the Laplace transform. This allows for easier analysis and solving of complex functions and equations in engineering, physics, and other fields. There are two types of Laplace transforms - one-sided and two-sided, with the latter being more commonly used. To solve a Laplace transform problem, the function is transformed using a formula and then the inverse Laplace transform is applied. Laplace transform has many practical applications in various fields, including solving differential equations, analyzing control systems, and studying electrical circuits.

Sep 30, 2011

reddvoid

in this question x(t) is right sided signal
so ROC should be to the right of right most pole
but here they've given ROC is Re(s) >-3
but there is a pole @ -2

attachment.php?attachmentid=39435&stc=1&d=1317394829.jpg

how is this ?

Engineering news on Phys.org

Sep 30, 2011

uart

Science Advisor

Yes I also think that the ROC should be Re(s)>-2. Looks like the book has a typo.

Oct 4, 2011

reddvoid

Yes .
I think so

Related to How Is the ROC Right of the Rightmost Pole When There's a Pole at -2?

What is a Laplace transform problem?

A Laplace transform problem is a mathematical problem that involves transforming a function from the time domain to the frequency domain using the Laplace transform. This allows for easier analysis of the function and can help solve differential equations.

What are the benefits of using Laplace transform?

Laplace transform allows for the simplification of complex functions and equations, making it easier to analyze and solve problems in engineering, physics, and other fields. It also provides a more efficient method for solving differential equations compared to traditional methods.

What is the difference between a one-sided and two-sided Laplace transform?

A one-sided Laplace transform is used for functions that are defined only for positive values of time, while a two-sided Laplace transform is used for functions that are defined for both positive and negative values of time. The two-sided transform is more commonly used as it provides a more complete representation of the function.

How is a Laplace transform problem solved?

To solve a Laplace transform problem, the function is first transformed using the Laplace transform formula. This results in an algebraic equation in the frequency domain. The inverse Laplace transform is then applied to this equation to obtain the solution in the time domain.

What are the common applications of Laplace transform?

Laplace transform has many applications in engineering and physics, such as solving differential equations, analyzing control systems, and studying electrical circuits. It is also used in signal processing, image processing, and other fields where functions need to be transformed between the time and frequency domains.