381 PROJECT 1

# 381 PROJECT 1 - ELEC 381 Project Assignment 1...

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Unformatted text preview: ELEC 381 Project Assignment 1 TengCheng(DA928240) Part A With , we can get: [( / ) | | , fc=419 MHz If ( ) ] And the use Matlab to get the ratio ( ) by the two equations above, which is shown in fig.1: er= 4.35; xx=[0.01:0.001:0.99]; eff2=(er+1)/2+((er-1)/2)*((1+12./xx).^(-0.5)+0.04*(1-xx).^2); Z02= 60*log(8./xx+xx./4)./(sqrt(eff2)); figure(2) plot(xx,Z02,'-ro','LineWidth',3,... 'MarkerEdgeColor','r',... 'MarkerFaceColor','r',... 'MarkerSize',1.5) xlabel('w/h ratio'); ylabel('Z0 (ohm)'); title('Z0 and ratio of w/h<1 '); x0=eval(x0) Figure 1 ZO2 and ratio of w/h<1 And then we can calculate that : , use to find out the ratio of / =0.39, and calculate w and [( ) ( / ) ] Use the equation ( ) Let 100MHz < f <700MHz, plot | |versus a function of f in Matlab, which is shown in Fig.2: f=1*10^8:1000:7*10^8; temp= tan(2*pi*f*0.1025./(1.732*10^8)); Zin= 104.9*(220+i*104.9*temp)./( 104.9+i*220*temp) tao= abs((Zin-50)./(Zin+50)); plot(f,tao,'-ro','LineWidth',3,... 'MarkerEdgeColor','r',... 'MarkerFaceColor','r',... 'MarkerSize',3) xlabel('Frequency (Hz)'); ylabel('|Tao|'); title('Reflection Frequency Response'); grid Figure 2 reflection frequency response with ZO=104.9 and ZL=220 To calculate the BW over the SWR on the line that remains less than 1.5, that is: | | Use | | we can get upper frequency and low frequency, and calculate the BW ( ) Part B (1) For if / we can get: [( ( ( ) ] )) And the use Matlab to get the ratio by the two equations above, which is shown in fig.3: er= 4.35; x=[1:0.001:5]; eff=(er+1)/2+((er-1)/2)*(1+12./x).^(-0.5); Z0= 120*pi./(sqrt(eff).*(1.393+x+0.667*log(x+1.444))); figure(1) plot(x,Z0,'-b<','LineWidth',3,... 'MarkerEdgeColor','b',... 'MarkerFaceColor','b',... 'MarkerSize',1.5) xlabel('w/h ratio'); ylabel('Z0 (ohm)'); title('Z0 and ratio of w/h>1 '); Figure 3 ZO1 and ratio of w/h>1 And then we can calculate that From the Matlab we can use After getting the ratio of to find out the ratio of / =0.39 / , and calculate w and use w to get [( ) / (2) , if / we can get: [( / ) ( ) ] ( ) And the use Matlab to get the ratio by the two equations above, which is shown in fig.4: er= 4.35; xx=[0.01:0.001:0.99]; eff2=(er+1)/2+((er-1)/2)*((1+12./xx).^(-0.5)+0.04*(1-xx).^2); Z02= 60*log(8./xx+xx./4)./(sqrt(eff2)); figure(2) plot(xx,Z02,'-ro','LineWidth',3,... 'MarkerEdgeColor','r',... 'MarkerFaceColor','r',... 'MarkerSize',1.5) xlabel('w/h ratio'); ylabel('Z0 (ohm)'); title('Z0 and ratio of w/h<1 '); x0=eval(x0) Figure 4 ZO3 and ratio of w/h<1 And then we can calculate that : , use to find out the ratio of / =0.39, and calculate w and [( ) ( / ) ] Then use the data we calculated above for , we can get the equations: ( ( ( ( ) ) ) ) Let 100MHz < f <700MHz, plot | |versus a function of f in Matlab, which is shown in Fig.5: clc; clf; clear; f=2*10^8:1000:8*10^8; temp3= tan(2*pi*f*0.1049./(1.758*10^8)); temp1= tan(2*pi*f*0.101./(1.6922*10^8)); 15 Zin3= 148.5*(300+i*148.5*temp3)./(148.5+i*300*temp3); Zin1= 70.71*(Zin3+i*70.71*temp1)./(70.71+i*Zin3.*temp1); tao= (Zin1-50)./(Zin1+50); tao1= abs(tao); plot(f,tao1,'-ro','LineWidth',3,... 'MarkerEdgeColor','r',... 'MarkerFaceColor','r',... 'MarkerSize',3) xlabel('Frequency (Hz)'); ylabel('|Tao|'); title('Reflection Frequency Response'); grid Figure 5 reflection frequency response with ZO1=70.71 and ZL=Zin3 To calculate the BW over the SWR on the line that remains less than 1.5, that is: | | Use | | we can get upper frequency and low frequency, and calculate the BW ( ) (3) For 50 part, when and get under formulas [( ( ) ( ] )) And the use Matlab to get the ratio by the two equations above, which is shown in fig.6: er= 4.35; x=[1:0.001:5]; eff=(er+1)/2+((er-1)/2)*(1+12./x).^(-0.5); Z0= 120*pi./(sqrt(eff).*(1.393+x+0.667*log(x+1.444))); figure(1) plot(x,Z0,'-b<','LineWidth',3,... 'MarkerEdgeColor','b',... 'MarkerFaceColor','b',... 'MarkerSize',1.5) xlabel('w/h ratio'); ylabel('Z0 (ohm)'); title('Z0 and ratio of w/h>1 '); Figure 6 Z50 and ratio of w/h>1 After get the ratio of w/h, and calculation w with 50 ...
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## This note was uploaded on 02/27/2012 for the course ELEC 232 taught by Professor Terry during the Spring '12 term at University of Macau.

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