Others consider the complex version to be the "Gabor wavelet", while the real-valued version is the "Morlet wavelet". Some distinguish between the "real Morlet" vs the "complex Morlet". ![]() The wavelet exists as a complex version or a purely real-valued version. The wavelet is defined as a constant κ σ. In 1984, Jean Morlet introduced Gabor's work to the seismology community and, with Goupillaud and Grossmann, modified it to keep the same wavelet shape over equal octave intervals, resulting in the first formalization of the continuous wavelet transform. These are used in the Gabor transform, a type of short-time Fourier transform. ![]() ![]() In 1946, physicist Dennis Gabor, applying ideas from quantum physics, introduced the use of Gaussian-windowed sinusoids for time-frequency decomposition, which he referred to as atoms, and which provide the best trade-off between spatial and frequency resolution.
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