pk                 package:SpherWave                 R Documentation

_C_a_l_c_u_l_a_t_i_o_n _o_f _N_o_r_m_a_l_i_z_e_d _P_o_i_s_s_o_n _K_e_r_n_e_l

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

     This function calculates normalized Poisson kernel as a function
     of angle.

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

     pk(theta, eta)

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

   theta: angle

     eta: bandwidth parameter for Poisson kernel

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

     This function calculates normalized Poisson kernel as a function
     of angle.

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

     vector of normalized Poisson kernel.

_E_x_a_m_p_l_e_s:

     theta <- c(-100:100)/100

     par(mfrow=c(1,1), pty="m", mar=c(4,4,7,1)+0.1)
     plot(theta, pk(theta, 0.9), type="l", xlab="angle (x pi)", ylab="SBF", 
         xlim=c(-1, 1), ylim=c(0, 1), lab=c(9, 7, 7), cex=1)
     lines(theta, pk(theta, 0.7), lty=2)
     lines(theta, pk(theta, 0.5), lty=4)
     legend(0.4, 0.8, legend = c("ETA = 0.9","ETA = 0.7","ETA = 0.5"), 
         lty=c(1,2,4), cex=0.7)

