A) Compute and plot the convolution y(t) = x(t) * h(t), where: 't, x(t)=2 0, 0 ≤ t ≤1 t, 1< t ≤ 2 elsewhere h(t) = 8(t + 2) + 28(t + 1)
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- Let x(t) = u(cos (2nt)) (u(t)-u(t-2)) and h(t) = eu(t), and let y (t) = x(t) * h(t). What is the value of y (2) ? Hint: u(x) is the unit step function None of the choices O y(2) = 0.1198 O y(2) = 0.27662 %3D O y(2) = 0.037437 O y(2) = 0.10177 O y(2) = 0.32569Required information Consider the CTFT pair. u (t + 5) – u (t – 7) → A sinc (bf) eicf The numerical values of the literal constants are A = b = and c=Calculate and plot each convolution for the continuous time signal h (t) shown in the figure below. (u (t): continuous time unit step function) a) h(t) * h(t) b) h(t) * h(t) * h(t)
- The convolution of x(t) and n(t) (shown below, A is 1 and B is 6) in the interval -6b)find the following convolution y(t)=u(t) * 8(t – 3) – u(t – 4) * 8(t + 1) теаns convolution8. Given below is the signal m(t). Decompose this signal in terms of the unit step function u(t). -6 -5 -4 -2 -1 m(t) 2 1 0 -1 0 1 2 3 4 t Homework 2 5Determine the zero-state response of the following system, if the input is; f(t) = e-4t.u(t) H(s) = 2s + 3 s² + 5s +6Convolve the following continuous-time signals, assuming that Th=1 sec, and T₁ =1.5 sec Plot the result 2T, ht -1 x(1) T h(t) TThe convolution of x(t) and h (t) (shown below, A is 1 and B is 6) in the interval -6The result of (3t + 1)8(t – 1)dt is: Select one: O -2 O 48(t – 1) O 4 Clear my choice < O OWhat is the mathematical equivalent of the sign x(t), seen in the following figure? x (t) 2 O x (t) = u (t-1) O xit) = u (2-1) O xit) = u (t + 2) O x (t) = u (2 +1) o xitt) = u (t-2)1) Basic Signals and Systems Find y(t) = x(t) * h(t) for the following signals, where u(t) is unit step signal. x() — 2u(t) — 2и(t - 2) h(t) %3D и(t + 2) — и(t — 1)SEE MORE QUESTIONSRecommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,