gregrec                package:Rwave                R Documentation

_R_e_c_o_n_s_t_r_u_c_t_i_o_n _f_r_o_m _a _R_i_d_g_e

_D_e_s_c_r_i_p_t_i_o_n:

     Reconstructs signal from a ``regularly sampled'' ridge, in the
     Gabor case.

_U_s_a_g_e:

     gregrec(siginput, gtinput, phi, nbnodes, nvoice, freqstep, scale,
     epsilon=0, fast=F, plot=F, para=0, hflag=F, real=F, check=F)

_A_r_g_u_m_e_n_t_s:

siginput: input signal. 

 gtinput: Gabor transform, output of `cgt'. 

     phi: unsampled ridge. 

 nbnodes: number of nodes used for the reconstruction. 

  nvoice: number of different scales per octave 

freqstep: sampling rate for the frequency axis 

   scale: size parameter for the Gabor function. 

 epsilon: coefficient of the Q_2 term in reconstruction kernel 

    fast: if set to T, the kernel is computed using trapezoidal rule. 

    plot: if set to T, displays original and reconstructed signals 

    para: scale parameter for extrapolating the ridges. 

   hflag: if set to T, uses Q_1 as first term in the kernel. 

    real: if set to T, uses only real constraints on the transform. 

   check: if set to T, computes `cwt' of reconstructed signal. 

_D_e_t_a_i_l_s:

_V_a_l_u_e:

     Returns a list containing: 

     sol: reconstruction from a ridge. 

       A: <gaborlets,dualgaborlets> matrix. 

     lam: coefficients of dual wavelets in reconstructed signal. 

dualwave: array containing the dual wavelets. 

gaborets: array containing the wavelets on sampled ridge. 

 solskel: Gabor transform of sol, restricted to the ridge. 

inputskel: Gabor transform of signal, restricted to the ridge. 

      Q2: second part of the reconstruction kernel. 

_R_e_f_e_r_e_n_c_e_s:

     See discussions in the text of ``Practical Time-Frequency
     Analysis''.

_S_e_e _A_l_s_o:

     `regrec'.

