MATLAB环境下一维时间序列信号的同步压缩小波包变换-部分代码如下:

时间:2024-02-15 22:43:46
% Inputs
%  x      input signal, a vector of length N
%
% Optional Inputs
%  is_real   Type of the transform
%          0: complex-valued wave packets
%          1: real-valued wave packets
%        [default set to 0]
%  is_unif   whether x is sampled on a uniform grid
%        0: No; 1: Yes
%  typeNUFFT  1: NUFFT by Air Force Lab
%        2: USFFT by E. Candes
%        3: NUFFT by L. Greengard and J.-Y. Lee
%        4: Direct non-uniform Fourier Transform
%  xo     non-uniform locations at which x is measured
%  NG     number of subsampled points in time
%  [R_low R_high]     The range of interested spectrum
%  rad     a parameter to adjust the size of supports of the mother wave packet in
%        the frequency domain, rad <= 2.
%  is_cos   Type of the window function
%          0: C^infinity window function
%          1: cosine window function
%        [default set to 0]
%  t_sc    scaling parameter for radius
%        [default set to 1-1/4]
%  red     redundancy parameter, red is a positive integer
%        [default set to 1]
%  epsl    threshold for instantaneous frequency estimates
%        [default set to 1e-2]
%  h      frequency band width per pixel in the synchrosqueezed
%        time-frequency representation
%        [default set to 1]
%  is_fac   0: do not increase the magnitude of high frequency wave
%        packet coefficients; 1: increase;
%        [default set to 1, better to visualize high frequency
%        instantaneous frequencies]
%  wedge_length_coarse
%        length of coarsest wedge
%        [default set to 4]
%
% Outputs
%  T_f     1D synchrosqueezed wave packet transform, a matrix with NG columns, each column represent frequency
%        information at a fixed time
%  coef    1D wave packet transform coefficients of x
%  kk     instantaneous frequency estimates from each wave packet
%        coefficient