Howtosignalprocessing
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).
- What is the analytic derivative of the Ricker wavelet?
- Is sinc a wavelet?
- Why do we use wavelet transform?
What is the analytic derivative of the Ricker wavelet?
Analytic expression
The amplitude A of the Ricker wavelet with peak frequency f at time t is computed like so: A = ( 1 − 2 π 2 f 2 t 2 ) e − π 2 f 2 t 2 \displaystyle A=(1-2\pi ^2f^2t^2)e^-\pi ^2f^2t^2
Is sinc a wavelet?
In functional analysis, a Shannon wavelet may be either of real or complex type. Signal analysis by ideal bandpass filters defines a decomposition known as Shannon wavelets (or sinc wavelets). The Haar and sinc systems are Fourier duals of each other.
Why do we use wavelet transform?
The key advantage of the Wavelet Transform compared to the Fourier Transform is the ability to extract both local spectral and temporal information. A practical application of the Wavelet Transform is analyzing ECG signals which contain periodic transient signals of interest.
