Abstract
The use of a definition of wavelet energy that considers total energy of the seismic signal rather than only the energy of the real component of the wavelet results in a proof that wavelets that have a common amplitude envelope also share resolving power. These are wavelets that differ only by a constant or linear phase shift and are termed here a wavelet m. Total instantaneous wavelet energy is proportional to the square of the amplitude envelope as determined by complex trace analysis. Thus wavelets that share an amplitude envelope (the wavelet class) have the same resolving power because total energy distribution is identical.
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