1. 1.3 Exponential and Sinusoidal Signals
Continuous-Time Complex Exponential and Sinusoidal Signals
Real Exponential Signals (C and a are real)
If a>0, x(t) is a growing exponential
If a<0, x(t) is a decaying exponential
Impulse responses for first-order systems

2. Pure Imaginary Exponential Signals (C=1 and a=j0 )

3. Sinusoidal Signals Impulse responses for second-order systems

4. Fundamental Frequency and Fundamental Period

5. Infinite-Energy but Finite-Power signals

6. Euler’s Relation

7. 1.3 Exponential and Sinusoidal Signals
Continuous-Time Complex Exponential and Sinusoidal Signals
General Complex Exponential Signals (C and a are complex numbers)

8. General Complex Exponential Signals (C and a are complex numbers)

9. 1.3 Exponential and Sinusoidal Signals
Discrete-Time Complex Exponential and Sinusoidal Signals

10. Discrete-Time Real Exponential Signals (C and a are real)

11. Discrete-Time Sinusoidal Signals

12. Discrete-Time Sinusoidal Signals (C=1 and a =j0)

13. General Complex Exponential Signals (C and a are complex numbers)

14. 1.21
1.22 (a), (b), (e), (f)
1.23 (a)

15. SAS实验一 画出CTS实指数信号、正弦信号、虚指数信号（实部、虚部）的波形图，并进行讨论
画出DTS实指数信号、正弦信号、虚指数信号（实部、虚部）的波形图，并进行讨论
要求：Word或PPT文档
文件名：学号_姓名_实验1

16. 1.3.3 Periodicity Properties of Discrete-Time Pure Imaginary Exponential and Sinusoidal Signals
The large the magnitude 0 of e j 0 t, the higher is the rate of oscillation in the signal. What about e j 0 n ?

17. What is the low frequency of e j 0 n ?
Periodicity Properties of Discrete-Time Pure Imaginary Exponential and Sinusoidal Signals
What is the low frequency of e j 0 n ?
What is the high frequency of e j 0 n ?

20. e j 0 t is periodic for any value of 0. What about e j 0 n ?

21. What is the fundamental frequency of e j 0 n (if it is periodic)?

22. 1.3.3 Periodicity Properties of Discrete-Time Pure Imaginary Exponential and Sinusoidal Signals

23. 1.25
1.26