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Q: Find the Trigonometric Fourier series for (periodic extension of). f) = 1-f, tE(-1, 1).
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Q: 3.10. Let x[n] be a real and odd periodic signal with period N = 7 and Fourier coefficients ak.…
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Q: Q5): a)- A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 7.7…
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Q: QUESTION 3 a. Consider the aperiodic signal of Figure Q3(a), xı(t). What is its Fourier Transform,…
A: X1(ω) = ∫-∞∞x(t)e-jωt dt = ∫-2-1 A e-jωt dt +∫21 A e-jωt dt=A e-jωt-jωt=-2t=-1+A e-jωt-jω21…
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Q: 1- Which one of the following pair of antennas are functionally same. a- Parabolic reflector and…
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A: Part (a) - (i) The periodic signal is given as,k(t)=∑-∞+∞m(t+kT)Where, The period is,T=3 seconds
Q: Problem 7: Consider the following 1-D Fourier series for a periodic signal with period T S() = a,…
A: Fourier series coefficients for a signal are given as an=4A1--1nπ2n2,n is odd0,n is even;bn=0.
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Q: -1, t0' %3D a. Show that the Fourier transform of sgn(t) is 2/jw. b. Show that the Fourier transform…
A: As per our guidelines, we can only answer one question at a time. Please resubmit the other…
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Q: -1 3. a) f(1) . f(t) = ao+ a, cos not + b, sin not ag. a, ve b, b) f(t) f() = Co + C, cos( not + 0,)
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A: Given: A periodic function of the fundamental period T=2π is given as fx=x, 0<x<πx+π,…
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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
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Q: (b) Signal y(t) is shown in Figure Q.3 (b) and the Fourier series up to 3rd harmonics is given as…
A: Trigonometric Fourier series x(t)=a0+∑n=1∞anCosnω0t+bnSinnω0t
Q: A: Chapter 1 The following diagram shows one period (full range) of a periodic voltage v(x) applied…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: Question 8 Let f (0) = 0, and %3D f (x) ={ -1, r€ (-7,0) r € (0, 7) 1, Extend f to PC (27). (a)…
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Q: A3. Show that for an even function, the Fourier coefficients are: (a) a, = 2 f() cos rat dt, r = 1,…
A: A3. [b] Here, the function f(t) is even function. The Fourier coefficient is br=1L∫-LLf(t)sinrπtLdt…
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Q: f(x)=[-k, -2<x<0 and k, 0<x<2] Find the Fourier series expansion of the periodic function.
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Q: A periodic waveform #(t) with period T = 4 sec is defined over one period by the equa- tion 2(t) =…
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Q: Q1- Find the Fourier Coefficients using Fourier series x (n) = {..., -1, 2, 1, 2, -1, 0,-1, 2, 1, 2,…
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A: Solution-a)- yt=cosωt+sinωtyt=cos-π3t+sinπ4tyt=-cosπ3t+sinπ4tω1=π3, f1=16,T1=6ω2=π4, f2=18, T2=8
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- The step response of an LTI system is given by the following. Ystep (t) 1 -2 -1 0 1 2 3 4 tAn odd function described over the time t>0 as follows: x(t) = 0, 0 st < 5 = 3-7t, 5Solve x(t)*h(t) in time domain . where x(t) = %3D * u(t) and h(t)=A exp(-t/2) u(t)If x(t) -------> X(2), the nature of X(2) is : O a. Discrete & Non periodic O b. Continuous & periodic c. Discrete & periodic O d. Continuous & Non periodicDraw the CT signal x(t) = u(t+2) – r(t) %3D +u(t-2) for the time period -2 sts 3. NOTE: r(t) is a CT ramp function.Find the derivative of the following function by using the definition f(x) = x-1For each of the signals given, determine mathematically whether the signal is even, odd, or neither. Sketch the waveforms to verify your results. a. x(t) = u(-t) + u (t) b. x(t) = 8(t + a) – 8 (t – a) (a is positive constant)1. Sketch the following CT functions: (a) g(t) = 2u(4 --t) (b) x(t)=5 sgn(t – 4) (c) g(t) = 1+ sgn(4-t) (d) x(t)= 68(3t +9) (e) y(t) = 5 sine(t / 2) (f) f(t)=-sinc(2(1+1)) (g) x(t) = u(t+ 1/2)r(1/2-1) (h) h(t) = 4sinc(21)sgn(-t) 2. (a) A continuous time signal x(t) is shown in Fig. 1(a). Sketch each of the following signals: (i) x(t – 2) (ii) x(1–t) (iii) x(2t + 2) (iv) x(2 -- t/3) (b) For the signal h(t) depicted in Fig. 1(b), sketch each of the following signals: (1) (1/2)h(t)u(t) + h(-t)u(t) (ii) h(t/2)8(t +1) (iii) h(t)[u(t + 1) – u(t – 1)} x(t) h(t) 2 1 3 -1 1 2 -2 -1 2 -1 Fig. 1(a) Fig. 1(b) 3. Sketch the following DT signals: (a) x[n] = 2 cos(2m/6)– 3sin(m/3) (b) g[n] = (3/4)" (c) x[n] = 2(0.9)" sin(2m/4) 4. A discrete time signal x[n] is shown in Fig.2. Sketch and label carefully each of the following signals: (a)x[n-2] (b)x[4 – n] (c)x[2n] (d)x[2n+1] (e)x[n]u{2 – n] (f)x[n–1]S[n– 3] (g)(1/2)x[n]+ (1/2)(-1)" x[n] (h)x[n°] x[n] -3 -2 -1 0 12 3 4 6 7 8 9 10 11 12 n->The following waveform is sampled at a random time t over a period T = 1.5. Let X = {sample valuc of v(t)}. Find (c) P{0 < X < 3}. v(t) 0.5 1.0 1.5 2.0 2.52. Sketch the waveform of the given functions below. f(t) = TT + t f(t) = TT -t -TQuestion(3) : The periodic voltage shown below, is even and has both half- wave and quarter wave symmetry. v(t) in Volts 20- -T + T8 T4 3T 4 a) Sketch one full cycle of the function over the interval -T/43 Find the Laplace transform of the periodic function defined by the sawtooth wave f(t) = t, 0 StS a, f(t+ a) = f(t). %3DSEE 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,