Week 9 Ch 8,

1. Magnitude and phase response2. Properties3. Cascade and feedback composition

Week 9 Ch 8,

1. Magnitude and phase response2. Properties3. Cascade and feedback composition

1. Magnitude and phase response

Examples

Week 9 Ch 8,

1. Magnitude and phase response2. Properties3. Cascade and feedback composition

2 Properties

Corollary 1

So |H(ω)| is an evenfunction of ω

So H(ω)| is an oddfunction of ω

Corollary 2

Corollary 1

Corollary 2

Week 9 Ch 8,

1. Magnitude and phase response2. Properties3. Cascade and feedback composition

+

Increasing bandwidth by proportional negative feedback

Suppose open loop frequency response is

So 3 db bandwidthis given by

-

The closed loop frequency response is

whose 3 db bandwidth is