Transcript Figure 5.1 10-Hz sine wave to be sampled.

Figure 5.1 10-Hz sine wave to be sampled.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.2 Results of sampling a 10-Hz sine wave at a rate of 5 Hz.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.3 Results of sampling a 10-Hz sine wave at 11 Hz.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.4 Results for sampling a 10-Hz sine wave at a rate of 18 Hz.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.5 Results for sampling a 10-Hz sine wave at a rate of 20.1 Hz.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.6 Higher frequency aliases.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.7 Folding diagram.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.8 Typical measured time-varying waveform.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.9 1000-Hz sawtooth waveform.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.10 Amplitudes of harmonics for a sawtooth wave.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.11 Harmonics of sawtooth wave.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure E5.1 Sawtooth wave.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.12 Duplicating a signal to make it harmonic.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.13 The function 2 sin 210t + sin 215t.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.14 FFT of Eq. (5.13), N = 128, T = 1s.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.15 FFT of Eq. 5.11, N = 512, T = 1s.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.16 FFT of Eq. 5.14, N = 512, T = 1s.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.17 Hann windowing function (Eq. 5.15) for N = 128.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.18 (a) Plot of Eq. 5.14 showing Hann Window function. (b) Modified data.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.19 FFT of data depicted in Fig. 5.18 with N = 512, T = 1s.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure 5.20 0.45-Hz sine wave sampled at 1 sample per second.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure E5.3a Typical pressure–time plot.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure E5.3b Fourier analysis of pressure—volume diagram.
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.
Figure P5.7
Introduction to Engineering Experimentation, Third Edition
Anthony J. Wheeler • Ahmad R. Ganji
Copyright ©2011 by Pearson Education, Inc.
Upper Saddle River, New Jersey 07458
All rights reserved.