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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online