fastkernel               package:Rwave               R Documentation

_K_e_r_n_e_l _f_o_r _R_e_c_o_n_s_t_r_u_c_t_i_o_n _f_r_o_m _W_a_v_e_l_e_t _R_i_d_g_e_s

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

     Computes the cost from the sample of points on the estimated ridge
     and the matrix used in the reconstruction of the original signal,
     using simple trapezoidal rule for integrals.

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

     fastkernel(node, phinode, nvoice, x.inc=1, x.min=node[1],
     x.max=node[length(node)], w0=2 * pi, plot=F)

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

    node: values of the variable b for the nodes of the ridge. 

 phinode: values of the scale variable a for the nodes of the ridge. 

  nvoice: number of scales within 1 octave. 

   x.inc: step unit for the computation of the kernel 

   x.min: minimal value of x for the computation of Q_2. 

   x.max: maximal value of x for the computation of Q_2. 

      w0: central frequency of the wavelet 

    plot: if set to TRUE, displays the modulus of the matrix of Q_2. 

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

     Uses trapezoidal rule (instead of Romberg's method) to evaluate
     the kernel.

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

     matrix of the Q_2 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:

     `kernel', `rkernel', `gkernel', `zerokernel'.

