# saimani - TITLE: LAB-9: Fourier Analysis and Filter Design...

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TITLE: LAB-9: Fourier Analysis and Filter Design NAME: SAIMANI KUMAR M.N.V (11554210) SECTION: 062 PARTNER: Ravneet Kaur TA: Kaloyan Popov DATE PERFORMED: 27 th Nov 2009 DATE DUE: 2 nd Dec 2009 DATE RECEIVED:

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Objective: The objective of this experiment is to learn about Fourier Series and design a third-order low pass filter. A periodic signal is passed through the filter and the effect of the filter on the signal is observed. The low pass filter is built and the output signal is captured on the oscilloscope and the frequency response of the filter is captured using LabVIEW. PSpice is also used to simulate the circuit and plot the input and output voltages obtained along with the frequency response of the filter. Maple is also used to calculate the coefficients of the Fourier Series of the output signal when the periodic square wave is passed through the filter, and also to display its plot. The frequency responses obtained from all the three methods is compared. Circuit Diagrams: Fig. 1: Circuit Diagram of a third-order low pass filter with R=60, L=38.8mH, C1=4.34uF and C2=13.016 uF and a cut-off frequency at f c =320Hz
Figure 2: Schematic diagram of the Third-Order Low Pass Filter with R1 =60, L=38.8mH, the resistance of the inductor = 50, C1=4.34 uF and C2=13.016 uF and a cut-off frequency at f c =320Hz. A 1V square wave of a frequency of 320 Hz is applied as input.

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Figure 3: Schematic diagram of the Third-Order Low Pass Filter to perform transient analysis with R1 =60, L=38.8mH, the resistance of the inductor = 50, C1=4.34 uF and C2=13.016 uF and cut-off frequency at f c =320Hz. A 1V square wave of a frequency of 320 Hz is applied as input.
Data Sheet: Part 1 : First, the third order filter designed as shown in the Sample Calculations section (See Figure 1) is constructed, and a unit square wave having a frequency of 400Hz is applied as its input. The measured values of the resistances and capacitances used in the third-order filter are: R1 =60, L=38.8mH, C1=4.34 uF and C2=13.016 uF The input and output waveforms are observed on the oscilloscope and a 50 resistor is connected across the input terminals to improve the waveform seen on the oscilloscope (See Figure 3). Next, a 1V sine waveform is applied to the input terminals of the third-order low pass filter having three different frequencies. First, the input waveform having a frequency of 320 Hz which is equal to the corner frequency of the low pass filter is applied to the input terminals of the filter and the input and output waveforms are observed on the oscilloscope (See Fig. 4). Then, the input signal having a frequency of 32 Hz is applied to the input terminals of the filter and the input and output waveforms are observed on the oscilloscope (See Fig. 5). Then, the input signal having a frequency of 320 kHz is applied to the input terminals of the filter and the input and output waveforms are observed on the oscilloscope (See Fig. 6). It is observed that there is no output waveform in the last case. This is because the filter is a low-pass filter having a

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## This note was uploaded on 12/02/2011 for the course ECEL 353 taught by Professor Gerber during the Spring '11 term at Hanoi University of Technology.

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saimani - TITLE: LAB-9: Fourier Analysis and Filter Design...

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