What is the similarity between wave and wavelet
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A wave has a completely arbitrary frequency spectrum - it could just be a single frequency (and thus would be a simple sine wave that stretched off to infinity). A wavelet, however, usually refers to a collection of frequency components that form a bundle of energy that’s localized in space. Remember, Fourier theory means that you can construct all kinds of shapes by combining the right single-frequency waves (each one of its own different frequency, of course).
So a wavelet usually refers to a concentration of energy in a localized region that’s still subject to wave physics that’s still ultimately a combination of waves
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