# Appendix I: Exercises

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Series Geophysical References Series Digital Imaging and Deconvolution: The ABCs of Seismic Exploration and Processing Enders A. Robinson and Sven Treitel 9 http://dx.doi.org/10.1190/1.9781560801610 9781560801481 SEG Online Store

1. Suppose that n = 128, ${\displaystyle dt=0.004,f_{s}=1/dt}$, ${\displaystyle f_{n}=f_{s}/2}$, and ${\displaystyle df=f_{s}/n}$. Here, n is the total number of samples in a signal and dt is the sampling time interval in seconds. What is the sampling frequency ${\displaystyle f_{s}}$? [Answer: 250 Hz.] What is the Nyquist frequency ${\displaystyle f_{n}}$? [Answer: 125 Hz.] What is the sampling frequency interval df? [Answer: 1.95313 Hz.]

2. Discuss what you see on the sketches shown in Figure I-1.

Figure I-1.  Autocorrelations and spectra.
Figure I-1.  (continued).