1. Continuous Random Variable (2)

2. Families of Continuous Random Variables Uniform R.V. Exponential R.V. Gaussian R.V.

3. Uniform Random Variable

4. Definition and Theorem

5. Application of Uniform Random Variable 3-bit quantizer 8-bit quantizer Source: Discrete-Time Signal Processing by Oppenheim

6. Quantizer Source: Discrete-Time Signal Processing by Oppenheim

7. Modeling the Quantization Error as a Uniform Random Variable Source: Discrete-Time Signal Processing by Oppenheim

8. Variance of Quantization Noise Source: Discrete-Time Signal Processing by Oppenheim

9. Exponential Random Variable

10. Examples of Exponential R.V.

12. Definition and Theorem

13. Gaussian Random Variable

14. Examples of Gaussian R.V. μ X =represents the location of the center of the bell σ X =represents the width of the bell

15. Definition and Theorem

16. Properties of Gaussian R.V. Proof:

17. Definition and Theorem

18. Application of Normal R.V.

19. Symmetry Properties of Gaussian PDF

21. Complementary CDF

22. Z=3, 3x of σ 3 σ is approximately 1/1000

24. Matlab

25. Sensitivity of an Inverting Amplifier Due to Resistor Mismatch

26. Gain of an Inverting Amplifier Probability Gain in dB

27. Project Optional Reference (Sedra Smith) Instrumentation Amplifier (Section 2.4.2) Mismatch due to gm (Section 8.2.5)

28. Optional Materials

29. Exponential & Geometric Random Variable

30. Examples of Exponential R.V.

32. Conditioning a Continuous R.V.