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Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third.

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Presentation on theme: "Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third."— Presentation transcript:

1 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.1 10-Hz sine wave to be sampled.

2 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.2 Results of sampling a 10-Hz sine wave at a rate of 5 Hz.

3 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.3 Results of sampling a 10-Hz sine wave at 11 Hz.

4 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.4 Results for sampling a 10-Hz sine wave at a rate of 18 Hz.

5 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.5 Results for sampling a 10-Hz sine wave at a rate of 20.1 Hz.

6 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.6 Higher frequency aliases.

7 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.7 Folding diagram.

8 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.8 Typical measured time-varying waveform.

9 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.9 1000-Hz sawtooth waveform.

10 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.10 Amplitudes of harmonics for a sawtooth wave.

11 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.11 Harmonics of sawtooth wave.

12 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure E5.1 Sawtooth wave.

13 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.12 Duplicating a signal to make it harmonic.

14 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.13 The function 2 sin 2  10t + sin 2  15t.

15 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.14 FFT of Eq. (5.13), N = 128, T = 1s.

16 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.15 FFT of Eq. 5.11, N = 512, T = 1s.

17 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.16 FFT of Eq. 5.14, N = 512, T = 1s.

18 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.17 Hann windowing function (Eq. 5.15) for N = 128.

19 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.18 (a) Plot of Eq. 5.14 showing Hann Window function. (b) Modified data.

20 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.19 FFT of data depicted in Fig. 5.18 with N = 512, T = 1s.

21 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure 5.20 0.45-Hz sine wave sampled at 1 sample per second.

22 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure E5.3a Typical pressure–time plot.

23 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure E5.3b Fourier analysis of pressure—volume diagram.

24 Copyright ©2011 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Introduction to Engineering Experimentation, Third Edition Anthony J. Wheeler Ahmad R. Ganji Figure P5.7


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