ECE 4213/5213

MODULE 2

Index

1. Vector Spaces, Basis, Dimension, Completeness...............................2.1 – 2.4

2. Inner Product, Norm ..........................................................................2.5 – 2.7

3. Banach Spaces, Lp Spaces, ℓp Spaces ..................................................2.8 – 2.14

4. More on Basis ....................................................................................2.14 – 2.16

5. Systems ..............................................................................................2.16 – 2.17

6. Memoryless ........................................................................................2.17 – 2.18

7. Causality .............................................................................................2.19

8. Time Invariance ..................................................................................2.20 – 2.21

9. Stability ..............................................................................................2.22 – 2.25

10. Linearity .............................................................................................2.26 – 2.27

11. Invertibility .........................................................................................2.27 – 2.28

12. LTI Systems .........................................................................................2.29 – 2.30

13. Initial Relaxation ................................................................................2.31

14. ARMA Models, FIR & IIR Systems......................................................2.32 – 2.39

15. Discrete-Time Convolution ................................................................2.40 – 2.63

16. Continuous-Time Convolution ...........................................................2.64 -2.75

17. LTI System Connections .....................................................................2.76 – 2.81

18. System Properties Revisited for LTI Systems .....................................2.82 – 2.85

19. Step Response of LTI Systems ............................................................2.86 – 2.87

20. Right/Left-Sided Signals, Even, Odd, and Conjugate Symmetry ........2.88 – 2.95

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