VIBROSEIS SIGNALS WITH PRESCRIBED POWER SPECTRUM*

For a swept frequency signal with constant envelope the power spectral density is approximately inversely proportional to the signal's rate of frequency change. Hence, by means of this relation, the phase function which describes the sweep's frequency variation may be derived from a predefined power spectrum. This is in contrast to the present use where the power spectrum is the result of a rather arbitrarily chosen phase function.

A numerical algorithm based on the relation between power spectrum and phase function was found to lead to sweeps whose power spectra matched the prescribed ones rather closely.