Classify the following signals whether are energy signals, power signals or neither by computing their energy and power: 2. a. (10 points) x1(t)=2cos(2n10t)+3cos(2n20t) 1 < t otherwise (10 points) the periodic signal x3 (t) as shown by the figure below: t + 2 3 b, (10 points) X2(t) = c. x3 (t) 2 -2-1 0 2 3 t(s)
Problem 3. (15 points) Topic: Power and Energy of discrete signals. Find the power of the periodic discrete signal presented below. Answer: P= -10-9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and power signals. For energy signals, calculate their energy. For power signals, calculate their average signal power. (g) x(t)= rect(t)) (h) x(t) =Loo rect(A) (i) 2(t)=e(-1-j80%(t) (k) x(t) = e-M/2 (l) x[n] = e-jm/2
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
Calculate the convolution integral of the following signals. Find the energy and power of the input and output signals. x(t) y(t) x(t) = cos(it)[u(t + 1) – uſt – 3)] h(t) = u(t + 2) – uſt – 1) del mes h(t) de ser LTI System
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...
Prob.2. (12 pts) Find the energy and power of the following signals. Determine whether they are the energy or power signal. a) x(n)=(-) u(n) x(n) = ()nu(1-6) rt b) 11n-6 c) x(n) = u(n - 6) rt e) x(n) (2)"-u(n 6)
Problem 2. Determine whether the following signals are power or energy signals, or neither. Justify your answers. a) x(t)-Asint -00<t<oo b) x(t) = r(1)-r(1-1) c) x(t)-tu(t) d) x(t)- Aexp(bt) , b>0
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
Find the energy of each of the following signals. If the energy is infinite, then also find the average power. a) X1(t) = 21(t + 100) b) x2) u(t) c) x3(t) = cos(2t) + 2 cos(4t) (Hint: Recall the trig identity: cos(a) cos(b) = 1+t [cos(a + b) + cos(a - b)).) 2 x4(t) = cos(2π) when cos(2πt)2 0; x4(t) = 0 when cos(2π) < 0. (That is: x,(t) is the response of a -wave rectifier to input signal cos(2Tt).)...