Question

HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt (c) / 84+3)e" de 7) A sinusoid et cos(ot) can be expressed as a sum of exponentialse" and es with complex frequencies S = 0 + jo and SEO-jo. Locate in the complex plane the frequencies of the following sinusoids: (a) cos 31 (b) e-21 (c) e-l cos 31 (d) 5

Answer 1

Solved 1st set as per Chegg guidelines.

Will appreciate feedback.

t - @ we see xlt) is signal a functim of time Energy of this signal = 91 chat for t=-os to o rignal is sure, t= 0 to 2 p X(t)=1 [xlt) 1 = 1 t=2 to 3 xlt=-- IX(+1=1 3 t = 3 to o X(t)=0 l 1 at = 1 hat = [t] = 13] E= same luglc applin here t=0 to 3 xlt=0 3+5 xlt=1 5706 x 1t)=-1 6 tooo alto 1xco 1x(4) I=1 1x11=1 Domain of interest to tul X(t)= t here [ to m= gradient= = 1 lxlblat H ot Domain of interest is totul X(t) = 2 t = 2t [m= growd lent = 2 = 2] 1x(t) = 2t