m10111 Table of Common Laplace Transforms 2.11 2001/06/19 2009/10/01 15:47:31.660 GMT-5 Melissa Selik Melissa Selik mselik@alumni.rice.edu Richard G. Baraniuk Richard Baraniuk richb@rice.edu Melissa Selik Melissa Selik mselik@alumni.rice.edu Richard G. Baraniuk Richard Baraniuk richb@rice.edu Justin Romberg Justin Romberg jrom@ece.gatech.edu Ricardo Anthony Radaelli-Sanchez Ricardo Radaelli-Sanchez ricky@alumni.rice.edu Mariyah Poonawala Mariyah Poonawala mariyah@rice.edu Prashant Singh Prashant Singh prash@ece.rice.edu Melissa Selik Melissa Selik mselik@alumni.rice.edu Richard G. Baraniuk Richard Baraniuk richb@rice.edu continuous time laplace transform Mathematics and Statistics Lists signal and region of convergence for several Laplace transforms. en Signal Laplace Transform Region of Convergence δ t 1 All s δ t T s T All s u t 1 s s 0 u t 1 s s 0 t u t 1 s 2 s 0 t n u t n s n 1 s 0 t n u t n s n 1 s 0 λ t u t 1 s λ s λ λ t u t 1 s λ s λ t λ t u t 1 s λ 2 s λ t n λ t u t n s λ n 1 s λ t n λ t u t n s λ n 1 s λ b t u t s s 2 b 2 s 0 b t u t b s 2 b 2 s 0 a t b t u t s a s a 2 b 2 s a a t b t u t b s a 2 b 2 s a t n δ t s n All s