Abstract
Although the S-Transform (ST) has better time resolution than the Continuous Wavelet Transform (CWT) at low frequencies, resolution may still not be adequate for certain seismic interpretation purposes. A modified S-Transform (MST), which reduces from the Generalized S-Transform (GST) is proposed as a simple means of controlling temporal and frequency resolution as a function of frequency. This is accomplished by replacing the frequency in the normalized Gaussian window of the S-transform with a linear frequency function. With appropriate choice of slope and intercept of this linear function, greatly improved temporal resolution can be accomplished at low frequencies, while retaining the temporal resolution of the ST at high frequencies. Synthetic examples show that low frequency ST spectra may suffer from interferences from nearby reflectors, and that this effect can be greatly reduced or eliminated using the MST. Application to real seismic data indicates that the MST can be useful in direct hydrocarbon indication.
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