exercise 5.4

ZIP with MATLAB scripts and note:

exercise 5.4 notes:

single shunt short circuit stub ZL=100+1j80;Z0=75. Since ZL and Z0 are same as in 5.3 D_TL should be same length obtained in 5.3 but now the stub length is calculated with:

ZL=100+1j*80;Z0=75;RL=real(ZL);XL=imag(ZL);Y0=1/ZL

t1=(XL+((RL*((Z0-RL)^2+XL^2))/Z0)^.5)/(RL-Z0)

t2=(XL-((RL*((Z0-RL)^2+XL^2))/Z0)^.5)/(RL-Z0)

% when RL=Z0

D1_TL=1/(2*pi)*atan(t1);if atan(t1)<0 D1_TL=D1_TL+.5; end

D2_TL=1/(2*pi)*atan(t2);if atan(t2)<0 D2_TL=D2_TL+.5; end

B1=(RL^2*t1-(Z0-XL*t1)*(XL+Z0*t1))/(Z0*(RL^2+(XL+Z0*t1)^2))

B2=(RL^2*t2-(Z0-XL*t2)*(XL+Z0*t2))/(Z0*(RL^2+(XL+Z0*t2)^2))

Y0=1/Z0;

Dstub1=1/(2*pi)*atan(B1/Y0);if atan(Y0/B1)<0 Dstub1=Dstub1+.5; end

Dstub2=1/(2*pi)*atan(B2/Y0);if atan(Y0/B2)<0 Dstub2=Dstub2+.5; end

D1_TL = 0.227640974365225

D2_TL = 0.405911259087935

Dstub1 = 0.122397174557472

Dstub2 = 0.377602825442528