QuestionQuestion

1. (COMPUTER) Recall equation (7.17) for the vibroseis sweep function:
v(t) = A(t)sin[2π(f0 + bt)t].
(a) Solve for f0 and b in the case of a 20-s long sweep between 1 and 4 Hz. Hint: b = 3/20 is incorrect! Think about how rapidly the phase changes with time.
(b) Compute and plot v(t) for this sweep function. Assume that A(t) = sin²(πt/20) (this is termed a Hanning taper; note that it goes smoothly to zero at t = 0 and t = 20 s). Check your results and make sure that you have the right period at each end of the sweep.
(c) Compute and plot the autocorrelation of v(t) between −2 and 2 s.

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