- #1

- 319

- 0

If yes, how can we find it?

- Thread starter AdrianZ
- Start date

- #1

- 319

- 0

If yes, how can we find it?

- #2

- 9,555

- 766

The δ function isn't actually a function; it is a distribution. It can be thought of informally as the limiting case of a pulse$$If yes, how can we find it?

f(t) = \left \{\begin{array}{rl}

h, & 0 < t < \frac 1 h\\

0,& \frac 1 h < t

\end{array}\right.$$ Then, again informally, you can calculate its LaPlace transform by working$$

\lim_{h\rightarrow \infty}\int_0^{\frac 1 h} he^{-st}\, dt$$ You should get an answer of 1.

Last edited:

- Last Post

- Replies
- 3

- Views
- 944

- Last Post

- Replies
- 8

- Views
- 999

- Replies
- 13

- Views
- 3K

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 5

- Views
- 3K

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 1K

- Last Post

- Replies
- 15

- Views
- 6K

- Replies
- 2

- Views
- 8K