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clc;
//page 413
//problem 7.3
//The resistance R = 1000 Ohm
R = 10^3;
//The capacitance C = 0.5*10^-6 F
C = 0.1*10^-6;
//Cutoff frequency for RC filter is f
f = 1/(2*%pi*R*C)
//White noise power spectral density n
n = 10^(-9);
//Noise power at filter output P
P = (%pi/2)*n*f;
disp('Noise power at output filter is '+string(P)+' Watt');
//Noise power at filter output P_new when cutoff frequency is doubled
P_new = (%pi/2)*n*2*f;
disp('Noise power at output filter when cutoff frequency is doubled is '+string(P_new)+' Watt');
//Ideal Low Pass filter Bandwidth B = 1000 Hz
B = 1000;
disp('Output Noise Power is '+string(n*B)+' Watt');
disp('Output Noise Power when cut-off frequency is doubled is '+string(2*n*B)+' Watt');
//Proportionality constant T = 0.01
T = 0.01;
//Output noise power O
O = n*(B^3)*(T^2)*(4/3)*(%pi)^2;
disp('Output Noise Power when signal is passed through a differentiator passed through ideal low pass filter '+string(O)+' Watt');
O_new = 8*n*(B^3)*(T^2)*(4/3)*(%pi)^2;
disp('Output Noise Power when signal is passed through a differentiator passed through ideal low pass filter and when cut-off frequency is doubled is '+string(O_new)+' Watt');
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