GEOL 706 - Spring 2008
LAB 3 - Minimum Phase

DUE Friday 14 March 2008

Reading: Claerbout, 1992, Chapter 10.

The exercises in light gray color are extra credit and are not required.

1. Claerbout, 1992, p. 246, exercise 1. You can describe these qualitatively, or in terms of Z-polynomials or series.

2. Claerbout, 1992, p. 246, exercise 2. Plot the simple but general case in the Z-plane.

3. Claerbout, 1992, p. 226, exercise 2. Use the Ed1d program activated by Fig. 10.3 to get a look at the wavelet, and just describe it in words. But justify your answer. On the Suns you can print the wavelet with the Snapshot program from the background menu. Snap a region that just includes the wavelet. After printing make sure you remove the large snapshot.rs file from your directory.

4. Claerbout, 1992, p. 226, exercise 3. Explain first what Q(Z) is.

5. Claerbout, 1992, p. 232, exercise 1. Discuss generally.

6. Claerbout, 1992, p. 232, exercise 2.

7. Claerbout, 1992, p. 237, exercise 1.

8. Claerbout, 1992, p. 238, exercise 2.

9. Use the causal poles you determined for an order n=2 Butterworth filter for the above exercise in the Zplane program to filter the given example data. List the pole locations for an = 60 Hz low pass filter, and an = 60 Hz high pass filter. Compare the filtered results with those of a low- or high-pass filter using only a single zero. Describe the differences.