Determine the transfer function of a second-order Butterworth bandpass filter with cutoff 

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<ul><li>Determine the transfer function of a second-order Butterworth bandpass filter with cutoff

frequencies of 1500 Hz and 3000 Hz.  </li></ul>

 
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chuck1976Question: 1. Design a lowpass FIR fiter for 10KHz sampling, with a pass band edge at 2KHz,

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chuck1976Question:

1. Design a lowpass FIR fiter for 10KHz sampling, with a pass band edge

at 2KHz, a stop band edge at 3Khz, and 20dB stop band attenuation. Find the impulse response and the difference equation for the filter.

I used matlab and got coefficients are: {0.0194,-0.1195,-0.0074,0.3130,0.5066,0.3130,-0.0074,-0.1195,0.0194} My question is how to find the Coefficients with out matlab???? Thanks

 
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Week 7 Lab Instructions FFT Calculations and Oscilloscope FFT Intro Course Number: ECET430

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Week 7 Lab Instructions

FFT

Calculations and Oscilloscope FFT Intro

Course Number: ECET430

Name:

Laboratory Number: 6 (Week 7)

Laboratory Title: FFT Calculations and Oscilloscope FFT Math Function

Submittal Date: Click here to enter a date.

Instructions: Using this document as your template, follow the steps, answer the questions, and insert your screen shots as you progress through the lab.

Lab Overview

 

This lab has been designed to help you gain proficiency in making FFT calculations and give you practice in utilizing your oscilloscope for Fast Fourier Transforms. A Fourier Transform of a signal tells you what frequencies are present in your signal and in what proportions and has widespread importance in signal processing.

Required Materials

 

To accomplish this lab, you will need the following equipment

  1. One oscilloscope with an FFT math function on it.
  2. Oscilloscope probes
  3. One signal generator

Lab Procedure

1.     Sine Wave

Time for one cycle _______________; Frequency _______________

Peak to Peak Amplitude __________; DC Value _______________

The origin is 0 volts DC.

Calculate the Frequency Spectrum (don’t forget the DC component) and show your results below (refer to our lesson on Fast Fourier Transforms).

Replicate the waveform on your Oscilloscope using the Math Function FFT and copy the screenshot below.

2.     Saw tooth Waveform

Time for one cycle _______________; Frequency _______________

Peak to Peak Amplitude __________;

Calculate the Frequency Spectrum and show your results below.

Replicate the waveform on your Oscilloscope using the Math Function FFT and copy the screenshot below.

3.     Square Wave

Time for one cycle _______________; Frequency _______________

Peak to Peak Amplitude __________;

Calculate the Frequency Spectrum and show your results below.

Replicate the waveform on your Oscilloscope using the Math Function FFT and copy the screenshot below.

4.     Pulse Waveform or Unsymmetrical Square Wave

Time for one cycle _______________; Frequency _______________

Peak to Peak Amplitude __________;

Calculate the Frequency Spectrum and show your results below.

Replicate the waveform on your Oscilloscope using the Math Function FFT and copy the screenshot below.

5.     Pulse waveform;

1v for 0-1 usec

0v for 1.001-100 usec, then it repeats

Calculate the frequency spectrum as close as you can out to the third null and show your results below:

Conclusion: After making FFT calculations for various waveforms, what is the value of being able to calculate FFTs and perform FFT measurements on your Oscilloscope in relation to what you have learned about DSP? Which number waveform is closest to the impulse function?

Week 7 Lab InstructionsFFT Calculations and Oscilloscope FFT IntroCourse Number:ECET430Name:Laboratory Number: 6 (Week 7)Laboratory Title:FFT Calculatons and Oscilloscope FFT Ma±h FunctonSubmi±al Date:Click here ±o en±er a da±e.InstrucTons: Using this document as your template, follow the steps, answer the quesTons, and insertyour screen shots as you progress through the lab.Lab OverviewThis lab has been designed ±o help you gain profciency in making FFT calculatons and give you practcein utlizing your oscilloscope ²or Fas± Fourier Trans²orms. A Fourier Trans²orm o² a signal ±ells you wha±²requencies are presen± in your signal and in wha± proportons and has widespread impor±ance in signalprocessing.Required MaterialsTo accomplish ±his lab, you will need ±he ²ollowing equipmen±1.One oscilloscope wi±h an FFT ma±h ²uncton on i±.2.Oscilloscope probes3.One signal genera±or
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TCO 2) Given the resistance of the servo motor is 600 ohms, and beta is 175, find the following when Vin is 5

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(TCO 2) Given the resistance of the servo motor is 600 ohms, and beta is 175, find the following when Vin is 5

voltsScreenshot (100).png

Screenshot (100).png

Screenshot (100).png

5. {TCO 2) Gwen the resistance of the servo motor E5 600 ohms, and beta is 1?5. find the foEEow’rng when ‘u’in is 5 matte. 50V
”I
§
113 k Vout
Vin ohms w
W sumac: i

 
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