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However, the decomposition frequency has a finite length, and an object signal of any other frequency cannot be analyzed.
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Successful frequency analysis means that the number of spectra of the object signal matches the number of spectra after analysis, that is, if the frame length is unique, then DFT has N decomposition frequencies (0, fs/N, 2f/N,..., (N - 1 fs/N [Hz]).
Figure 14 Eigenvalues of spectrally majorized decomposition versus frequency.
Figure 8 Eigenvalues of smooth decomposition versus frequency.
This decomposition on frequency extends the dyadic and the uniform decomposition.
Therefore, the adaptive segmentation is advantageous for both decomposition and frequency estimation.
We examine and evaluate the contributions of different factors to the segmentation results from the viewpoints of decomposition levels, frequency bands and wavelet functions.
For the treatment-frequency decomposition, given a relatively narrow frequency band, we used a low pass filter with a steep cut-off frequency to gain the optimal balance between removing ringing artifact and approximating desired frequency response [ 48].
This motivates us to find a reasonable time-frequency decomposition strategy to extract the low-frequency and high-frequency components of end-to-end traffic.
This is because the dyadic (logarithmic) frequency decomposition mimics the human auditory perception system better than uniform frequency decomposition.
In the next layer process of wavelet decomposition, the low-frequency part is further divided into low-frequency part and high-frequency part, but the high-frequency part is no longer decomposed.
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