The Wavelet Transform is a means of moving between Locality and Universality preserving properties, while Fourier Transform’s frequency-based representation is merely one efficient choice.
Generalization of Fourier Transform, Wavelet could has more locality than Fourier Transform
정현파가 아니더라도 충분히 좋은 신호 세트들로 모든 신호를 표현할 수 있다
Wavelet transform notion
Wavelet transform
In mathematics, a wavelet series is a representation of a square-integrable function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform.
https://en.wikipedia.org/wiki/Wavelet_transform


Seonglae Cho