![matlab smith chart matlab smith chart](https://slideplayer.com/slide/8681009/26/images/11/Figure+The+transformation+of+an+impedance+to+an+admittance+using+the+Smith+chart..jpg)
#Matlab smith chart generator
Generator and TL are matched, but TL and load are not. This Pin is the same as the above used Pin=(abs(Vgen*Zin/(Zgen+Zin)))^2/(2*Z0*(1-(abs(refl_gen))^2)*exp(2*real(gamma_L_rad))Īnd it's not the other apparently correct Vgen*Zin/(Zin+Zgen)Ġ.21 dB missing, the perturbation method is not exact Would be the correct start voltage for the procedure followed in the solutions manual.īut because expressions 2.92/93/94 are readily available, the answers have already been provided. It's reasonable to consider that V0plus =Vgen Zin/(Zgen+Zin)(exp(g_L)+refl_gen*exp(-gamma_L_rad)) should be used, 2.89a in pg81 Vin=Vgen*Zin/(Zin+Zgen)*1/(exp(gamma_L_rad)+refl_gen*exp(-gamma_L_rad)) And then calculates V0plus absV0plus_all_match=abs(Vgen/2*exp(-real(gamma_L_rad))) That both generator and load both matched generator to TL and TL to load. alpha=double(alpha_Np*L)Įrror in the solutions manual: it assumes Perhaps of use too, the maximum available power from generator: Pmax_gen=.5*(abs(Vgen))^2/(4*real(Zgen))Īlternatively, just considering power decay:Īlpha_dB and alpha_Np are per metre. TL input impedance (from generator) Zin=Z0*(ZL+Z0*tanh(gamma_L_rad))/(Z0+ZL*tanh(gamma_L_rad) Reflection coefficients on both sides of the transmission line refl_Load=(ZL-Z0)/(ZL+Z0)
#Matlab smith chart manual
Sometimes for the complex propagation constant gamma, units Np/m and degree are mixed like it happens in the solutions manual for this exercise. L=2.3*lambda % length of transmission line
#Matlab smith chart code
In this ansser the code is firstly broken down and explained, afterwards the results column is shown.
![matlab smith chart matlab smith chart](https://image.slidesharecdn.com/howtoplotasmithchart-141219124103-conversion-gate02/95/how-to-plot-a-smith-chart-in-matlab-3-638.jpg)
I can also send the script in new format Livescript, that shows both code and results in 2 separate aligned columns. Since there's no way to attach the compact MATLAB script to this answer, I am sending the compact MATLAB script pozar_02_exercise_29.m by email to anyone who emails me asking for copy, along with the following support functions to plot the Smith chart: Smith_plotGammaCircle.m Smith_plotRefLine2PhaseCircle.m. The following broken-down MATLAB script generates the spiral that the impedance follows along the lossy transmission line detailed in the problem 29 chapter 2 Transmission Lines Theory in page 93 of Microwave Engineering 4th edition literature reference.