What is a mother wavelet?
A wavelet transform is the representation of a function by wavelets. The wavelets are scaled and translated copies (known as “daughter wavelets”) of a finite-length or fast-decaying oscillating waveform (known as the “mother wavelet”).
What is Coiflet wavelet?
Coiflets are discrete wavelets designed by Ingrid Daubechies, at the request of Ronald Coifman, to have scaling functions with vanishing moments. The wavelet is near symmetric, their wavelet functions have vanishing moments and scaling functions. , and has been used in many applications using Calderón–Zygmund operators …
How do you calculate the Ricker wavelet frequency?
THE RICKER WAVELET AND THE FREQUENCY BAND. R(ω)=2ω2√πω3pexp(−ω2ω2p). This frequency spectrum is real and non-negative in value, |R(ω)| = R(ω). Thus, it is just the module of the Fourier transform of the even Ricker wavelet.
What is the use of Haar wavelet?
It is found effective in applications such as signal and image compression in electrical and computer engineering as it provides a simple and computationally efficient approach for analysing the local aspects of a signal. The Haar transform is derived from the Haar matrix.
How do you choose a wavelet?
An orthogonal wavelet, such as a Symlet or Daubechies wavelet, is a good choice for denoising signals. A biorthogonal wavelet can also be good for image processing. Biorthogonal wavelet filters have linear phase which is very critical for image processing.
What is a zero phase wavelet?
A zero phase wavelet is symmetrical with a maximum at time zero. Zero phase wavelets have energy before time zero, which makes them noncausal, and therefore they are not physically realizable.
What is seismic wavelet?
The seismic wavelet is the link between seismic data (traces), interpretations and the geology (reflection coefficients). It must be accurately known (estimated or measured) and quantified in all stages of the seismic cycle (from modelling, acquisition, processing, interpretation, inversion and reservoir work).