Find the power and Rms of the signals in figure 114 and 116

x(t) 4 -6 -8 Figure PL.1-4 -T 0 Figure P1.1-6 50% duty cycle dc-offset sawtooth wave x( t). prove Etx (t)+xt prove E[h(t) +x2(1)] Elii

Solution

1) t = -2:0.001:2;
x = t.^3;
yrms = rms(x);
ypower = (norm(x)^2)/length(x); %you can also use ypower = yrms^2;

yrms = 3.0260

ypower = 9.1566

2) A = 2;
T = 1;
t = 0:0.001:0.5;
x1 = (2*A/T)*t;
x2 = zeros(1,501);
x = [x1 x2];
yrms = rms(x);
ypower = (norm(x)^2)/length(x); %you can also use ypower = yrms^2;

yrms = 0.8169

ypower = 0.66733