Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition.

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Presentation transcript:

Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

1. Magnitude and phase response

Examples

 

 

Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

2 Properties

Corollary 1

So |H(ω)| is an even function of ω So  H(ω)| is an odd function of ω Corollary 2

Corollary 1

Corollary 2

Week 9 Ch 8, 1.Magnitude and phase response 2.Properties 3.Cascade and feedback composition

+

Increasing bandwidth by proportional negative feedback Suppose open loop frequency response is So 3 db bandwidth is given by

- The closed loop frequency response is whose 3 db bandwidth is