DAY 24:: FREQUENCY DEPENDENCE/ SIGNALS WITH MULTIPLE FREQUENCY COMPONENTS LAB

PART 1: TRANSFER FUNCTIONS

Today, we discuss about the transfer functions and some relating theory of transfer functions including zeros and holes. 

An example of calculating the transfer function and its zeros and poles.

The lecture note of the professor about the above problem

We did another problems about the transfer function

The mathlab code for graph the equation above

another problems of the transfer function 

PART 2: SIGNALS WITH MULTIPLE FREQUENCY COMPONENTS LAB

Purpose: This lab aims to verify the theory about the transfer function when applying the multiple frequency source/ waveform generator. 

Pre-lab:

The schematic circuit of the lab. From our calculation, we expect,

The high frequency, then the capative impedance close to zero, the Vo/Vi = 0

The low frequency, then the capative impedance close to infinite, the Vo/Vi = 1/2.

Creating the multiple frequency waveform generator.

Vin and Vout of multiple frequency waveform generator. The results are the same as we expected. The high frequency, the ratio Vo/Vin=0. The low frequency, the ration Vo/Vin =1/2

Creating the sweep waveform generator

The result of the sweep waveform generator. The results are the same as we expected. The high frequency, the ratio Vo/Vin=0. The low frequency, the ration Vo/Vin =1/2

Conclusion:

This lecture is straightforward. We derive some transfer functions, and then do some problems to practice applying the functions in the circuit. We also did the experiment about the signals Vout/Vin with multiple frequency components. We did the lab successfully because the results from the oscilloscope meet our expectation.