Figure Hz sine wave to be sampled.

Figure 5.1 10-Hz sine wave to be sampled.

Figure 5.2 Results of sampling a 10-Hz sine wave at a rate of 5 Hz.

Figure 5.3 Results of sampling a 10-Hz sine wave at 11 Hz.

Figure 5.4 Results for sampling a 10-Hz sine wave at a rate of 18 Hz.

Figure 5. 5 Results for sampling a 10-Hz sine wave at a rate of 20
Figure Results for sampling a 10-Hz sine wave at a rate of 20.1 Hz.

Figure 5.6 Higher frequency aliases.

Figure 5.7 Folding diagram.

Figure 5.8 Typical measured time-varying waveform.

Figure 5.9 1000-Hz sawtooth waveform.

Figure 5.10 Amplitudes of harmonics for a sawtooth wave.

Figure 5.11 Harmonics of sawtooth wave.

Figure E5.1 Sawtooth wave.

Figure 5.12 Duplicating a signal to make it harmonic.

Figure 5.13 The function 2 sin 210t + sin 215t.

Figure 5.14 FFT of Eq. (5.13), N = 128, T = 1s.

Figure FFT of Eq. 5.11, N = 512, T = 1s.

Figure FFT of Eq. 5.14, N = 512, T = 1s.

Figure 5.17 Hann windowing function (Eq. 5.15) for N = 128.

Figure 5. 18 (a) Plot of Eq. 5. 14 showing Hann Window function
Figure (a) Plot of Eq showing Hann Window function. (b) Modified data.

Figure 5.19 FFT of data depicted in Fig. 5.18 with N = 512, T = 1s.

Figure 5.20 0.45-Hz sine wave sampled at 1 sample per second.

Figure E5.3a Typical pressure–time plot.

Figure E5.3b Fourier analysis of pressure—volume diagram.

Figure P5.7

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