rkernel                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,
     in the case of real constraints. Modification of the function
     `kernel'.

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

     rkernel(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 Romberg's method for computing 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 "Time-Frequency Analysis''.

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

     `kernel', `fastkernel', `gkernel', `zerokernel'.

