66 results about "Continuous wavelet transform" patented technology

In mathematics, the continuous wavelet transform (CWT) is a formal (i.e., non-numerical) tool that provides an overcomplete representation of a signal by letting the translation and scale parameter of the wavelets vary continuously. The continuous wavelet transform of a function x(t) at a scale (a>0) a∈ℝ⁺* and translational value b∈ℝ is expressed by the following integral where ψ(t) is a continuous function in both the time domain and the frequency domain called the mother wavelet and the overline represents operation of complex conjugate.