sa_fig4_16.m

智能天线Matlab版源代码

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%%  ******************************************************  %%
%%  * Smart Antennas for Wireless Applications w/ Matlab *  %%
%%  ******************************************************  %%
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%% Chapter 4: Fig 4.16 & 4.17                               %%
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%% Author: Frank Gross                                      %%
%% McGraw-Hill, 2005                                        %%
%% Date:  4/24/2005                                         %%
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%% This code creates Figures 4.16 & 4.17, plots of Hanning  %%
%%     array weights for N = 8 ULA & the corresponding      %%
%%     weighted array factor vs. unweighted array factor.   %%
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%%------------------- Define Variables:---------------------%%
% N - number of array elements                               %
% d - array element spacing (wavelengths)                    %
% theta - angle (deg)                                        %
% check - check to see if even or odd array                  %
% wb - binomial array weights of length N                    %
% AF - array factor of N element array                       %
% AFn - normalized array factor of N element array           %
%%----------------------------------------------------------%%

%%----- Given Values -----%%

N = 8; d = 0.5; theta = -pi/2:.01:pi/2; ang = theta*180/pi;

test = hamming(N);
check = mod(N,2);

%%----- Produce Weighted Array Factor For Even or Odd Array -----%%

if check == 0       % if array is even
    wB = flipud(test(1:N/2)); wB = wB/max(wB);
    figure(1)
    stem(test/max(test),'k')
    xlabel('Element Number'), ylabel('Array Weights')
    title('\bfFigure 4.16 - Hanning Array Weights vs. Element Number')
    axis([1 N 0 1.1])
    AF = 0;
    tot = sum(wB);
    for i = 1:N/2
        AF = AF + wB(i)*cos((2*i-1)*pi*d*sin(theta));
    end
else                 % if array is odd
    wB = flipud(test(1:(N-1)/2+1)); wB = wB/max(wB);
    figure(1)
    stem(test/max(test),'k')
    xlabel('Element Number'), ylabel('Array Weights')
    axis([1 N 0 1.1])
    AF = 0;
    tot = sum(wB);
    for i = 1:(N-1)/2+1
        AF = AF + wB(i)*cos(2*(i-1)*pi*d*sin(theta));
    end
end

AFn = sin(N*pi*d*sin(theta))./(N*pi*d*sin(theta));

%%----- Plot Results -----%%

figure(2), plot(ang,abs(AF)/tot,'k', ang,abs(AFn),'k:')
xlabel('\theta (deg)'), ylabel('|AF|')
title('\bfFigure 4.17 - Hanning Weighted Array Factor vs. Angle')
axis([-90 90 0 1.1]), grid on
set(gca,'xTick',[-90:30:90])