📄 sa_ex6_4.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%% ****************************************************** %%%% * Smart Antennas for Wireless Applications w/ Matlab * %%%% ****************************************************** %%%% %%%% Chapter 6: Ex 6.4 %%%% %%%% Author: Frank Gross %%%% McGraw-Hill, 2005 %%%% Date: 9/29/2004 %%%% %%%% This code creates Fig 6.12 of Ex 6.4, a plot of a Rician %%%% distribution to determine probability of envelope %%%% exceeding a threshold of 5 mV. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%------------------- Define Variables:---------------------%%% sig - standard deviation %% var - variance of Rician PDF %% A - Mean of Rician PDF %% r - Envelope of Rician PDF %% p - Rician PDF %%%----------------------------------------------------------%%%%------------------ Given Values ------------------%%sig = 3; var = sig^2; A = 5; r = [0:1500]/100;%%-------------- Determine Rician PDF --------------%%p = r.*exp(-(r.^2 + A^2)/(2*var)).*besseli(0,A*r/var)/var;%%------------------ Plot Results ------------------%%plot(r,p,'k')hold ontitle('\bfFig 6.12 - Probability of Envelope Exceeding Threshold for Rician PDF','Fontweight','bold')xlabel('r (mV)')ylabel('p(r)')axis([0 15 0 .2])%%-------- Solution is Area Under the Curve --------%%x = [r(500) r(500:1500) r(1500) r(500)];y = [0 p(500:1500) 0 0];fill(x,y,[.9 .9 .9])text(7.5,0.14,' \downarrow','FontSize',18)text(5,0.16,'Solution is Shaded Area Under Curve','FontSize',11)
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