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+//define problem parameters
+
+Z0=50; //characteristic line impedance
+ZG=50; //source impedance
+ZL=50; //load impedance
+
+//series RLC filter parameters
+R=10;
+L=50e-9;
+C=0.47e-12;
+
+VG=5; //generator voltage
+
+//compute series resonance frequency
+w0=1/sqrt(L*C);
+f0=w0/(2*%pi);
+
+//define a frequency range
+delta=0.2;
+w=((1-delta):2*delta/1000:(1+delta))*w0;
+
+//compute quality factors
+Q_LD=w0*L/(R+2*ZL) //loaded quality factor
+Q_F=w0*L/R //filter quality factor
+Q_E=w0*L/(2*ZL) //external quality factor
+
+// compute Bandwidth
+BW=f0/Q_LD
+
+//compute input and load power
+P_in=VG^2/(8*Z0)
+P_L=P_in*Q_LD^2/Q_E^2
+
+//compute insertion loss and load factor
+epsilon=w/w0-w0./w;
+LF=(1+epsilon.^2*Q_LD^2)/(1-Q_LD/Q_F)^2;
+IL=10*log10(LF);
+
+disp(Q_LD,"Loaded Quality Factor");
+disp(Q_F,"Filter Quality Factor");
+disp(Q_E,"External Quality Factor");
+disp("Watts",P_in,"Input Power");
+disp("Watts",P_L,"Power delivered to the load");
+disp("Hertz",f0,"resonance frequency of the filter");
+disp("Hertz",BW,"Bandwidth of the filter");
+plot(w/2/%pi/1e9,IL);
+title('Insertion loss versus frequency');
+xlabel('Frequency, GHz');
+ylabel('Insertion loss, dB'); \ No newline at end of file