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Wavelet analysis is a technique that decomposes sounds and images into wavelets, which are component waves of varying durations. It allows for localized vibrations in sound signals and localized variations in detail within an image. The heart of wavelet analysis lies in multiresolution analysis, where signals are decomposed into subsignals with different resolution levels. This analysis helps generate lower-resolution signals by gradually removing the finest details from the final image.
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What is Wavelet Analysis? • Wavelet analysis : sounds나 images를 wavelets으로분해 (decomposition) • Wavelets • Component waves of varying durations • Localized vibrations of a sound signal • Localized variations of detail in an image • The heart of wavelet analysis : multiresolution analysis • Signal을 다른 크기의 resolution level을 가지는 subsignal들로 분해
What is Wavelet Analysis? • Wavelet transform • Final image → broad masses • Signal로부터 lowerresolution signal을 생성하기 위해 finest details을 어떻게 제거해가는지 specify • Lower resolution signal : original signal에서 추출된짧은 duration의 wavelet과 비교해 볼 때 좀 더긴 duration의 oscillations을 가지는 signal • Musical analysis : melody(essential parts) + ornament • Skeleton(trend)을얻기 위해 detail(fluctuation)을걷어 냄으로써 signal을 분해하는 가장 간단한 방법
