## Fourier analysis and multiresolution analysis human voice

 Fourier Analysis Analogue Signal length $$T=3.1528344671201816$$ [sec] Discrete Time Signal frequency $$f_s=22050$$ [Hz] length $$N=69520$$ Fourier Transform Discrete Fourier Transform Fourier Transform (shifted) Discrete Fourier Transform (shifted) Spectrogram Discrete pectrogram

 Multiresolution Analysis   cheese_multiresolution.jl Level 1 Level 1 Decomposition Level 2 Level 2 Decomposition Level 3 Level 3 Decomposition Level 4 Level 4 Decomposition