Question(3) : The periodic voltage shown below, is even and has both half- wave and quarter wave symmetry. v(t) in Volts 20 -T 4 TS T+ T? 3T 4 T a) Sketch one full cycle of the function over the interval -T/4

Q: 1. Which of the following is an even function of 1.? (a) t 2 (b)x 2 – 4t (c)sin2t + 3t (d)t 3 + 6 2.…

A: “Since you have asked multiple  choice questions, we will solve the first  three questions for you.…

Q: It is given that f(t)=t3 over the interval –2<t<2 s. Construct a periodic function that…

A: The graph for the given period is shown below:

Q: 1. Find the area under the function shown.. 2. What is the duration of the function when ϵ=0? 3.…

A: The Area under the function

Q: Let f(t) be a periodic function with period T=4, where f (t) = |t|, -2 <t < 2. Which of the…

A:

Q: 3. Find the F.T. of the following periodic signal. -2 2

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Q: 2. Discuss the periodic function f(t)given below with respect to being an even, odd or neither even…

A: We need to tell about the given function is odd or even or neither odd or even. We know definition…

Q: Single side band modulation can be viewed as a hybrid form of amplitude and frequency modulation.…

A: Choose the correct option A signal s(t) is given in the question,  Find the equivalent m(t) ?

Q: 1. Use the Fourier transform method to find vo(t) in the circuit shown if vg=36sgn(t) V.2. Does your…

A: (1) Draw the circuit diagram in the s-domain.

Q: Let x1 (t), 0 <t < To, be a period of a periodic signal x(t) with fundamental period To - Represent…

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Q: Exercise 2-2: Find the Fourier Transform of y(t) = 100cos (20nt +T/3) %3D 1. First, write y(t) in…

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Q: Derive the Fourier transform of a single rectangular pulse of width t and height A, shown in Fig A

A: Fourier transform convert the time domain function in to frequency domain. It is an integral…

Q: (A) A rectangular pulse x(t) of width t= 6 msec. and amplitude A=12 V is centered at the origin in…

A:

Q: 7576 A time domain representation of a signal generally expresses how a signal changes with respect…

A: In this question we will write about time domain representation of signal...

Q: Q5): a)- A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 7.7…

A: It is given that: x(n) is discrete time periodic signal with fundamental period N=7, &amp; a0=0a1 =…

Q: The signal y[n] = x1[n] + x2[n] + x3[n] is the sum of three periodic signals of %3D periods N1=2,…

A: Given, The signal is y[n] = x1[n] + x2[n] + x3[n] The period of x1[n] , x2[n] and x3[n] are N1=2 ,…

Q: The message signal m(t) is a periodic signal given below in Fig A. Assume that it is a DSB-AM: x(t)…

A: Modulation is the process of appending the information contained in a message signal to a high…

Q: It is given that v(t)=20 sin π|t|V over the interval –1≤t≤1 s. Thefunction then repeats itself. Does…

A: For checking the half wave symmetry following condition should be fulfilled, Here T = 2 s So,…

Q: The periodic function shown is even and has bothhalf-wave and quarter-wave symmetry. Use the first…

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Q: Consider the following two systems S, where g[n] and h[n]have the following Fourier transforms Glw)…

A:

Q: A periodic signal x(t) of period To is given by |t| < T1 {o 1, x(t) = To 0, T1 < |t| < 2 The dc…

A: First we will draw the given wave form and than we will find average value by using1T∫x(t) dt.

Q: 1. Given a signal x(t) as shown below 0 1 2 3 4 a. sketch the signal, x(-t + 3). b. Find the power…

A: (a) The given signal is, Now, shifting the signal left by 3 unit Now, reversing the signal,

Q: 4. Given x₁(t) = cos(t), x₂(t) = sin(at), and x3(t) = x₁(t) + x₂(t) a. Determine the fundamental…

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: A continuous-time periodic signal x(1) is real valued and has a fundamental period T = 8. The…

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Q: Q1) find the Laplace transforms of the periodic function defined by f(t) =t/2 0

A: Given function: ft=t20

Q: (Difficulty: *) Which of the following signals (continuous- and discrete-time) are periodic signals?…

A: We will check each option available whether it is periodic signal or not.   Checking the next…

Q: S(jn) = (1– {u(N + 4n) – u(N – 4n)} (a) Evaluate s(0). (b) What is the valuc of t? (c) Let the…

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Q: The equation of the main window of a periodic function f(t) is given below: (t) =- (t' +4t+4 -2<t<-1…

A: The equation of the main window of a period function ft is given below:…

Q: (A) A rectangular pulse x(t) of width t= 2 msec. and amplitude A=6 V is centered at the origin in…

A: 1- Given rectangular pulse= x(t) As it is a rectangular pulse, it will be the combination of two…

Q: The rectangular pulse shown can be expressed as the differencebetween two step voltages; that is,…

A: Given that the main function is given by, vt=Vmut+τ2-ut-τ2 Get the Fourier transform of each step…

Q: If f and g are twice differentiable functions of a single variable, show that the function u ( x , t…

A: Given: ux,t=fx+at+gx-at...(1)

Q: 1. Which of the following is an even function of t.? (a) t 2 (b)t 2 – 4t (c)sin2t + 3t (d)t 3 + 6 2.…

A: According to Bartleby question answer rules I have to attempt first three only.

Q: Question 6. The Fourier Transform of the function r(t) shown below is X(w) = e~Jw/2 sine (). (t) **…

A: We need to find out Fourier transform of given signal

Q: [3] x(t) is a continuous time (CT), Periodic signal, with a period T. The equation for a single…

A: The Fourier series expansion is determined by the following expression, xt=a02+∑n=1∞ancosnt+bnsinnt…

Q: 26: Determine the required numerical value of the positive real constant a if it is given that one –…

A: Given data, f(t)=e-atu(t) Total energy of f(t) E=∫-∞∞f(t)2dt  =∫-∞∞(e-at)2u(t)d(t)   =∫0∞e-2atdt…

Q: Consider a continuous-time signal x(1). Let y,(1)= x(21) and y2()= x(1/2) Determine whether each of…

A: Given, x(t) is continuous signal Part(a): x(t) is periodic and continuous. y1(t)=x(2t) PART (a): If…

Q: Signal Classification. Consider the signal T x(t) = 4 sin(t) +2, -0 <t <∞ %3D and t – 2 y(t) = 2…

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Q: Consider the 2-periodic sequences whose plots for n = - 4,,4 are as follows: x[n] y[n] o -3 1 3. We…

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Q: width 2a and height 1 (The pulse is symmetrical about the y - axis). (ii) Use the Inverse Fourier…

A: Here part ii) has been solved with the help of the properties of fourier transform.

Q: 8. For a positive, even and periodic function, what will be the integral of the function from…

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Q: Q4] Sketch the missing section in the periodic function shown in Fig. below between T/2 and T, which…

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Q: tracing the outline of the heart shape results in a periodic signal which can roughly be expressed…

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Q: 5. A periodic function f(x) is defined by f(x) = { S 1, -1 <x < 0 x, 0 <x < 1, S(x) = f(x+2) (a)…

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Q: 1-)Examine the graphs of the DSB (t) and VSB (t) signals in the time space. What are the…

A: According to the question,  we need to find (a) the difference between DSB and VSB? (b) How many…

Q: The Fourier transform of the finite-duration triangular waveform f(t) given in Fig.2(a) is given as:…

A: As you asked for part (a), we will solve just part (a)

Q: Q1) Choose the correct answer (s) 1. Which of the following is an even function of t.? (a) 12 (b)t…

A: given here some multiple choice question and asked find the correct answer for those questions.…

Q: Consider the following two signals: x(t) = P1(t)u(t) and h(t) = A1(t)u(t). Construct their periodic…

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Q: Find out the time domain expression of one period of the given periodic sequence

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Q: As can be seen in the figure below, the x1(t) and x2(t) signals are multiplied by the continuous…

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.