Unable to convert the following expression into double array

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Hello all, When I run my code, I keep getting this error: "Unable to convert expression containing remaining symbolic function calls into double array. Argument must be expression that evaluates to number."

clc;
clear all;
close all;
al = 0.5; 
n = 5; 
sig2_fsnrn = 1; 
sig2_ksln = 1; 
sig2_glnrn = 10; 
sig2_e_fsnrn = 0;
sig2_e_ksln= 0; 
sig2_e_glnrn =0; 
L = 1;
Nr = 1; 
gamma_th_dB = 3;
gamma_th = (10^(gamma_th_dB/10));
 vel_r =0; 
 c = 3*10^8; 
 fc = 915*10^6; 
 Rs = 9.6*10^3; 
 Z1 = ((2*pi*fc*vel_r)/(Rs*c)); 
 P_fsnrn = besselj(0,Z1); 
 P_ksln = besselj(0,Z1);
 P_glnrn = besselj(0,Z1); 
 
 v_phi_fsnrn = (1-P_fsnrn^(2*(n-1)))*sig2_fsnrn; 
 v_phi_ksln = (1-P_ksln^(2*(n-1)))*sig2_ksln; 
 v_phi_glnrn  = (1-P_glnrn ^(2*(n-1)))*sig2_glnrn ;
 
 rho2_fsnrn = (P_fsnrn)^(2*(n-1));
 rho2_ksln = (P_ksln)^(2*(n-1));
 rho2_glnrn = (P_glnrn)^(2*(n-1));
 
 
  OP_th = [];
  
  for j1 = -5:5:45 
     jj1 = 10^(j1/10); 
     jj1
        
     
      mu4_1 = (al^2)*v_phi_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));
      mu4_2 = (al^2)*rho2_glnrn*sig2_e_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));
      mu4_3 =  v_phi_fsnrn+(rho2_fsnrn*sig2_e_fsnrn+(1/jj1));
      mu4 = mu4_1+mu4_2+mu4_3;
      
      zeta = (al^2)*rho2_glnrn*rho2_ksln;
      mu1 = (al^2)*rho2_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));
      mu2 = (al^2)*rho2_ksln*(v_phi_glnrn + (rho2_glnrn*sig2_e_glnrn));
      mu3 = rho2_fsnrn;
     
       syms x1;
     part1 = exp((gamma_th*mu2*x1)/((zeta*x1-mu1)*sig2_glnrn));
     part2 = exp((gamma_th*mu4)/((zeta*x1-mu1)*sig2_glnrn));
     part3 = exp(-x1/sig2_ksln);
     part4_1 = (-1/sig2_fsnrn);
     part4_2 = (gamma_th*mu3)/((zeta*x1-mu1)*sig2_glnrn);
     part4 = -1/(part4_1+part4_2);
     
     pt_1 = part1*part2*part3*part4;
     I1 = int(pt_1,0,10);
     op_th1 = (1/(sig2_ksln*sig2_fsnrn))*I1;
     op_th = 1-op_th1;
     OP_th = [OP_th,op_th];            
  end
  SNRdB = -5:5:45; 
grid on;
semilogy(SNRdB,OP_th,'g-','LineWidth',1.1);

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chaaru datta 2022년 6월 24일

Thanks for your answer sir. It means MATLAB is unable to solve the integration. So does it mean that we cannot plot this expression in MATLAB.

KSSV 2022년 6월 24일

In a way yes.....try to find out the integration of the expression. Or read tips to see whether integration can be solved in matlab.

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Answer 1

Torsten 2022년 6월 24일

편집: Torsten 2022년 6월 24일

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clc;

clear all;

close all;

al = 0.5;

n = 5;

sig2_fsnrn = 1;

sig2_ksln = 1;

sig2_glnrn = 10;

sig2_e_fsnrn = 0;

sig2_e_ksln= 0;

sig2_e_glnrn =0;

L = 1;

Nr = 1;

gamma_th_dB = 3;

gamma_th = (10^(gamma_th_dB/10));

vel_r =0;

c = 3*10^8;

fc = 915*10^6;

Rs = 9.6*10^3;

Z1 = ((2*pi*fc*vel_r)/(Rs*c));

P_fsnrn = besselj(0,Z1);

P_ksln = besselj(0,Z1);

P_glnrn = besselj(0,Z1);

v_phi_fsnrn = (1-P_fsnrn^(2*(n-1)))*sig2_fsnrn;

v_phi_ksln = (1-P_ksln^(2*(n-1)))*sig2_ksln;

v_phi_glnrn = (1-P_glnrn ^(2*(n-1)))*sig2_glnrn ;

rho2_fsnrn = (P_fsnrn)^(2*(n-1));

rho2_ksln = (P_ksln)^(2*(n-1));

rho2_glnrn = (P_glnrn)^(2*(n-1));

OP_th = [];

for j1 = -5:5:45

jj1 = 10^(j1/10);

%jj1

mu4_1 = (al^2)*v_phi_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));

mu4_2 = (al^2)*rho2_glnrn*sig2_e_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));

mu4_3 = v_phi_fsnrn+(rho2_fsnrn*sig2_e_fsnrn+(1/jj1));

mu4 = mu4_1+mu4_2+mu4_3;

zeta = (al^2)*rho2_glnrn*rho2_ksln;

mu1 = (al^2)*rho2_glnrn*(v_phi_ksln + (rho2_ksln*sig2_e_ksln));

mu2 = (al^2)*rho2_ksln*(v_phi_glnrn + (rho2_glnrn*sig2_e_glnrn));

mu3 = rho2_fsnrn;

%syms x1;

part1 = @(x1)exp((gamma_th*mu2*x1)./((zeta*x1-mu1)*sig2_glnrn));

part2 = @(x1)exp((gamma_th*mu4)./((zeta*x1-mu1)*sig2_glnrn));

part3 = @(x1)exp(-x1/sig2_ksln);

part4_1 = (-1/sig2_fsnrn);

part4_2 = @(x1)(gamma_th*mu3)./((zeta*x1-mu1)*sig2_glnrn);

part4 =@(x1) -1./(part4_1+part4_2(x1));

pt_1 = @(x1)part1(x1).*part2(x1).*part3(x1).*part4(x1);

I1 = integral(pt_1,0,10)

op_th1 = (1/(sig2_ksln*sig2_fsnrn))*I1;

op_th = 1-op_th1;

OP_th = [OP_th,op_th];

end