Signals & Systems Lecture 8

M1 Syllabus

• 6 Classifications of Signals and Systems
• Combulation or smth?

Questions

Question 1

Check whether the given system is stable or unstable

$h(t)=e^{4t}4(t)$

Formulaes

$$\sum _{n=0}^{\infty }{a}^n=\frac{1}{1-a}\text{for}|a|<1$$ $$\sum _{n=1}^{\infty }{a}^n=\frac{a}{1-a}\text{for}|a|<1$$ $$\sum _{n=0}^{\infty }n(a{)}^n=\frac{a}{(1-a{)}^2}\text{for}|a|<1$$ $$\sum _{n=0}^{\infty }{n}^2(a{)}^n=\frac{a^2+a}{(1-a{)}^3}\text{for}|a|<1$$

$$

\sum_{n=0}^{\infty} (a)^n = \frac{a^{N1}}{(1 - a)} \quad \text{for} \quad |a| < 1

# References ###### Information - date: 2024.08.10 - time: 11:14]]