Wavelet

Dimensional analysis in the Morlet wavelet

Dimensional analysis in the Morlet wavelet
  1. What is Morlet wavelet transform?
  2. What is wavelet based signal analysis?
  3. Are Morlet wavelets orthogonal?
  4. How do I choose a mother wavelet?

What is Morlet wavelet transform?

The Morlet wavelet transform is used in pitch estimation and can produce more accurate results than Fourier transform techniques. The Morlet wavelet transform is capable of capturing short bursts of repeating and alternating music notes with a clear start and end time for each note.

What is wavelet based signal analysis?

The basic idea of wavelet analysis is that of multi-resolution signal decomposition introduced by Mallat (i.e., the simultaneous appearance of a signal on multiple scales to study its various features) [5].

Are Morlet wavelets orthogonal?

For the Morlet wavelet, this is approximately orthogonal, but not exactly. Due to the extended tails of the Gaussian, it is not possible to construct a truly orthogonal set for the Morlet. For other wavelets such as the Daubechies, it is possible to construct an exactly orthogonal set.

How do I choose a mother wavelet?

Both the optimal mother wavelet and decomposition level are selected by evaluating signal-to-noise-ratio (SNR) efficiency of the denoised signals obtained by using the wavelet thresholding method.

Understanding the signal to noise ratio (SNR)
What is a good SNR signal-to-noise ratio?How do you explain SNR?Is a higher or lower SNR better?How do you read SNR values? What is a good SNR signa...
Construct complex signal from a real-valued time series and Hilbert transform
How complex signal is generated using Hilbert transform?How do you find the Hilbert transform of a signal?Why is Hilbert transform used in signal pro...
Digital low pass filter time constant and the number of datapoints acquired
What is time constant in low-pass filter?What is a digital low-pass filter?What is 3dB point of low-pass filter?How is low-pass filter bandwidth calc...