20739
by Radza
If I may, with the slightest forth-impressions of persistence that my attitude shall emit, share you this path-route, with all its intricacies that I strive to unravel. I have managed to construct a draft that integratively incapsulates the first major step of the whole process, draft v_1, with some aberrant fluctuations of extbuffers. Nevertheless, I have currently stopped at the second major step (‘stopped’ ≠ ‘ceasing the progress’), for I sense that I have already accomplished ‘much’, and this ‘much’ is ever ‘not enough’ to be a priori quantified as such. I contend to elicit the major steps of this project, along with the array list of its sequent substeps :
Step 1 Integrating the Wavelet Decomposition Method
1. Changing the frequency domain from [0, -N] to [π, -π]
2. Normalising the transform procedure as fitting trigonometric series with Hermitian symmetry
3. Identifying local maxima and local minima
4. Sorting and re-indexing both the local maxima (descending manner) and local minima (ascending manner)
5. Computing ωn (magnitude proper) values for local maxima and local minima (the magnitude represents the strength of the signal at a given frequency) & setting boundaries for the min-level
The draft v_1 incorporates this step so far.
Step 2 Wavelet Filter Bank
6. Defining constants and arrays for parameters
7. Scaling function and Wavelet fuction
8. Defining the function for β
9. Computing tau n
10. Determining y
The draft v_2 incorporates this step so far.
Step 3 mainly consists of the reconstruction phase of the decomposed signals
11. Inversing wavelet transform: I need to implement the inverse wavelet transform to reconstruct the signal from the wavelet coefficients.
12. Combining scaling and wavelet functions: I need to use the scaling function and wavelet function to combine the contributions of different segments.
13. Iterating over segments: I need to ensure that it iterates over all segments to collect and combine their contributions properly.
14. Outputting the reconstructed signal: to store or output the reconstructed signal for further analysis. (NewreconstructedBuff)
Would you assisst me ?