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Laboratory Manual - King Fahd University of Petroleum and Minerals

Laboratory Manual - King Fahd University of Petroleum and Minerals

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Table I: Summary <strong>of</strong> h<strong>and</strong> calculations, SPICE simulation <strong>and</strong> experiment<br />

Circuit<br />

H<strong>and</strong><br />

Calculation<br />

SPICE<br />

Simulation<br />

Experimental<br />

Result<br />

DC gain<br />

LPF<br />

HPF<br />

Bilinear<br />

Function<br />

All-pass<br />

f o<br />

Att. at<br />

f =10f o<br />

HF gain<br />

f o<br />

Att. at<br />

f =0.1f o<br />

DC gain<br />

f o<br />

f z<br />

HF gain<br />

Gain<br />

Ang. at<br />

0.1f o<br />

Ang. at f o<br />

Ang. at<br />

10f o<br />

MINI-SYSTEM<br />

Individual design problem will be assigned by the lab instructor.<br />

Now, you should be able to combine the filter circuit <strong>of</strong> Figure 1 to design different<br />

frequency spectrum. Examples include:<br />

1. By cascading a first-order LPF with a first-order HPF one can provide a wideb<strong>and</strong><br />

b<strong>and</strong>-pass filter. Provide such a design for the case in which the midb<strong>and</strong> gain is 10 <strong>and</strong><br />

the 3 dB b<strong>and</strong>width extends from 100 Hz to 10 kHz. Select the input resistance to be<br />

10kΩ <strong>and</strong> equal value for the two capacitors.<br />

2. Design <strong>of</strong> b<strong>and</strong>stop filter using two Bilinear filters. This response can be achieved by<br />

implementing a transfer function such as<br />

3 4<br />

s10 s10<br />

T()<br />

s x .<br />

2 5<br />

s 10 s 10<br />

55

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