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1.5 Continuous-Time and Discrete-Time Systems

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1 1.5 Continuous-Time and Discrete-Time Systems
Systems: Transform input signals into output signals Continuous-Time Systems: Both input and output signals are continuous-time signals. Discrete-Time Systems: Both input and output signals are discrete-time signals.

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5 1.5 Continuous-Time and Discrete-Time Systems
1.5.2 Interconnection of Systems A complicated system can be constructed by interconnections of simple systems Three Basic Interconnections: Series or Cascade, Parallel and Feedback Interconnections

6 1.6 Basic System Properties
1.6.1 Systems with and without Memory Memoryless Systems

7 1.6 Basic System Properties
1.6.1 Systems with and without Memory Systems with Memory other than the current time

8 1.6.2 Invertibility and Inverse Systems Invertible Systems

9 Causality

10 Stability Stable Systems: a bounded input generates a bounded output

11 Stability Stable Systems: a bounded input generates a bounded output

12 1.6.5 Time Invariance Examples: y(t)=sin[x(t)]; y[n]=nx[n]; y(t)=x(2t)

13 Linearity Superposition property: Additivity property and Scaling or homogeneity property

14 Linearity Superposition property: Additivity property and Scaling or homogeneity property

15 Linearity Scaling or homogeneity propertyzero-in/zero-out property

16 Linearity

17 1.31


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