Appendix I: Exercises/en

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

1. Suppose that n = 128, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): dt = 0.004, f_s = 1/dt , Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): f_n = f_{s}/2 , and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): f_s ? [Answer: 250 Hz.] What is the Nyquist frequency Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): 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).


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Appendix I: Exercises/en