If f(t) is a T-periodic, piecewise continuous fuention for t2 0 then C[F(t)] = 8> 0. 1-e-T Prove the above theorem where f(t) is (a) periodic function where fr is repeated periodically with period T [ Hints: f(t) = Er-nT)] %3D (b) Please use, the above theorem to calculate f(t) as train of impulse su-nT) (c) Next use the above theorem: State the period of the function f(t) and find its Laplace transform where sin t, 00. 0, TSt< 2T
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- Find y(t)=u(t)*w(t) for v(t)=Ae at for t>0 and w(t)=sint for 0sts2 and w(t)=0 otherwise. (Hint: Express a sinusoid as a sum of exponentials.)8. For a positive, even and periodic function, what will be the integral of the function from -infinity to +infinity equal to? a) Non-zero Finite b) Zero c) Infinite d) None of the mentioned 178% (aseo aall ) ula Start W EN TOSHIBA INS 100LSCR DEL 144 ESC 40 BACK SPACE %23 %24 & 5 7 V 8. 94 FEX KRF %S48. For a positive, even and periodic function, what will be the integral of the function from -infinity to +infinity equal to? a) Non-zero Finite b) Zero c) Infinite d) None of the mentioned
- s) A periodic signal x(t) is shown in Figure-1 and x(t) is defined as: x(t)=cos(t) for -t/2The waveform above is defined by the following expression: Ar(t) – Br(t-2) + Cr(t-3) where A, B, and C are constants (r(t) - ramp function). Find A, B and C.A pure sinusoidal signal is input to a system. The output is shown in the figure below, y(t) (V) -T/2 T/2 t (sec) -4 If A= 5, t1 = 0.2, t2 = 1.3 and T- 3 Find the THD (in percentage % correct to 2 decimal places)7576 A time domain representation of a signal generally expresses how a signal changes with respect to time. True False "To perform phasor division of two phasors, its better expressed the phasors in polar form and then get the sum of all the individual magnitudes (amplitudes) and get the sum of all the individual arguments (phase angles)." O True FalseA signal x(t) is shown in Figure 1. -1 Figure 1: Signal x(t). (a) Sketch -x(t), x(t - 1) and 2x(t). (b) Calculate the energy of x(t),-x(t), x(t - 1) and 2x(t). (c) Comment the effect of sign change, time-shifting and amplitude scaling on the energy of the signal. (d) What is the effect on the energy if the signal is multiplied by k?Given the system below, find the steady-state error if R(s) %3D Y(s) R(s) 5 %3D s2 + 7s + 10Please adhere to the following instructions Turn in the assignment on time, you have one week from the day the assignment is given. • Provide solutions to problems in the order assigned Problem 1: Classify the following signals as energy or power signals, and find the normalized energy or normalized power of each: d. exp(j2nt) over (-∞d) Determine the phasor inductor voltage, VL. e) Which variable is leading - IL or V₁? By what angle? f) Transform the current and voltage back to the time domain to get i(t) and vc(t) and VL(t).What is the z-transform of the following finite duration signal? https://canvas.instructure.com/courses/4226171/quizzes/10932125/take 4/28/22, 6:24 PM O z¹+1+z+z² O z¹+2+z+ 2z² O2 + 4z¹ + 5z² O-z+1+z¹ + 2z² Quiz: Signals Final Exam 9/16SEE 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,