Given the following function: 0, -2

Q: 3) The signal x(t) is periodic with period 3 sec and has the complex exponential Fourier…

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Q: Let's assume p(t) is the train of unit magnitude impulses located at time: .., -0.2, -0.1, 0, 0.1,…

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Q: The discrete sequence of numbers x[n] =( 0, 1,-1, 0, 1,-1, 0, 1,-1, 0, 1,-1, 0, 1,-1) is recorded…

A: Discrete Fourier Transform (DFT) is the linear transformation of discrete finite duration sequence…

Q: Consider the following signal: cos(20Tt) te [-1,1] x(t) te [-2, –1) u (1, 2] 6. Assuming the signal…

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Q: Determine the Fourier series representation of the following discrete time signal x(n) = {..... , 1,…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: 2. a) Find the frequency response of the causal LTI system whose difference equation is given below.…

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Q: Consider the function f(t) = 0.01e2t for 0 ≤t≤ π). (a) Sketch the even extension, feven, and the odd…

A: Given function f(t)= 0.01e2t for 0 ≤ t ≤ pi. The even and odd extensions of f(t) over the range -3pi…

Q: 4.7. For each of the following Fourier transforms, use Fourier transform properties (Table 4.1) to…

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Q: Q/Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude…

A: Fourier Transform of the signal the rectangular pulse of duration 2 second and having a magnitude of…

Q: Problem 1: Let x(t) = 1 + sin(Wot) + 2 cos(wot) + cos(2wot +) with wo as the fundamental frequency.…

A: Solution 1-

Q: Let x(t) be a periodic signal of period T and C =k+0. y(t) = x(f)cos(v,f),w, = . Then, the complex…

A: Fourier series coefficient of the x(t) given Find the coefficient of the y(t) using the property.

Q: Question 6. Given, the following function |-2x, -zs1<0 S(1)=- | 2.x, Ost<z -St<0 , and f(t+4x)=f(t)…

A: We need to draw and find out whether the given signal is odd or even and we need to find out Fourier…

Q: 2. Consider a linear, time-invariant, continuous-time system. a) Since the impulse response of the…

A: a) The impulse response of the system of the system is given as ht=δ(t)-δ(t-T) Therefore the…

Q: 1)For the discrete-time signal given as x [n] = [4,5,2,1,5,6,2,1], the Fast Fourier coefficients are…

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Q: Q1/Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude…

A: Dear student as per our guidelines we are supposed to solve only one question.kindly repost other…

Q: determine the Fourier series expansion coefficients ġo, ản, bn and the Fourier transform equation…

A: Given : For the above given continuous periodic time domain signal x(t) they want to  know the…

Q: 1. Consider a function r(t) given by e-at, t> 0, -eat, t0 (a) (10 pt) Find the continuous-time…

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Q: 2.8-2 (a) Sketch the signal g(t) =1 and find the trigonometric Fourier series to represent g(1) over…

A: The trigonometric fourier series is determined as shown below

Q: A signal v(t) has period of T= 4, It's Fourier Series coefficients a, is given below as; sin k + 0…

A: Fourier series and transform

Q: Ex. 950. Given a zero-centered hat function of height 4 volts and width 50.0 ms, determine the…

A: Given:h=4 Vw=50.0 msf=0.1900 Hz

Q: Find the Fourier series for the periodic function giving below: -1, -I <t<-T/2 x(t) 0, -/2 <t< n/2…

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Q: (A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the origin in…

A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost other…

Q: Q/Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude…

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Q: .28 Consider a discrete-time LTI system with impulse response 1, 0 8[n - 4k], k=-o determine the…

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Q: Sketch the wave form defined by: 1+ , when -n <x<0 f(x) = ,when 0 <x <n Determine the Fourier series…

A: Function fx is a repeating composite of two lines in the defined time intervals, one line has…

Q: A Fourier series is given as: f(t) = 2 + 2 cos 3t – 3 sin 3t + cos 5t + sin 5t – 0.5 cos 6t + 0.2…

A: According to the question we have to calculate fundamental frequency, find the Fourier series in a…

Q: 2. The signal s(t), where t is in seconds, has the (real-valued) Fourier transform S(jN), 2 SUN) =…

A: Given :

Q: 2. a) Find the frequency response of the causal LTI system whose difference equation is given below.…

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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…

Q: 1.- Let r = (ro, X1,..., IN-1) € CN. Compute the discrete Fourier transforms of the following…

A: We need to compute the discrete Fourier transforms of the following vectors with components given…

Q: The following table gives a random discrete signal at a variable rate. t 1 2 3 4 5 6 f(t) 7 14 20 24…

A: We need to construct the Fourier series for the function f(t) in the interval (0,6) up to second…

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,)

A: In the beginning step here we have used the another method which is very easy.   The time period of…

Q: Determine the discrete-time Fourier transform of the signal x[n] = (0.25)¹-¹u[n 1]. O a. X(w) = 1-4e…

A: In this question we need to choose a correct option

Q: Suppose that X(W)is real but not even. Can we conclude whether X[n]must be or cannot be real ? Can…

A: In this question we need to choose a correct option..

Q: 21.Given a signal: g(t) = 4 + 3.4 cos(10t) + 1.2 cos(1Ot) + sin(20t + 40') + 5 cos(20t + a)…

A: A continuous-time signal is given as gt=4+3.4cos10t+1.2cos10t+sin20t+40°+5cos20t+40°   ...1.

Q: d) From these plots, obtain the first harmonics (amplitude and phase) for n = 0,1, 2,3, 4,5. Write a…

A: We are given the following periodic signal x(t): (d) we have to plot Cn and ∠Cn as a function of n…

Q: For the following signals, x(t), use the Fourier Transform “Common Signals" Table and the…

A: Using the Fourier transform property, the Fourier transform of the rectangular signal is given by:…

Q: Using Fourier integral representation, show that 0, ifx 0 -o cos xw+w sin xw dw 1+w2

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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…

Q: Consider the following continuous time system that sums two input signal z1(t) and z2(t) with aj and…

A: Any continuous time periodic signals can be represented as an infinite sum of sine and cosine…

Q: Q1- Find the Fourier Coefficients using Fourier series x (n) = {..., -1, 2, 1, 2, -1, 0,-1, 2, 1, 2,…

A: We know the Fourier series coefficient formula , we will use that formula to calculate Fourier…

Q: A function y=Rx) is defined by Domain ,: xe (,+){±2,±6,±10,±14,..} (3 if - 2< x<0 S(x)=? 3-x if 0<x…

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Q: The discrete time periodic signal x(n)={2,1,-4,2} has the Fourier coefficients given as…

A: Given: A discrete-time signal xn=2,1,-4,2 with period N = 4 has Fourier coefficients as…

Q: Ex. 947. Given x (t)=40 volts on the interval t=[50,100] milliseconds and x (t)=0 elsewhere. where f…

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Q: A periodic function, f(t) is given as t – 1, -2<t< – 1 0, t + 1, f(t + 4) -1<t<1 f(t) = 1<t<2 a)…

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Q: 7) The function (h) is defined by: ht) = 0 if t =] – 0o; –1,5n[ h(t) = cos(0,5t – 0,25 1) if te…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: f(x) = -8, -2 < x < 1; 10, 1 < x < 4; 0, otherwise Find the fourier transform of the above…

A: Given:f(x)=-8    (-2&lt;x&lt;1) f(x)=   10    (1&lt;x&lt;4)and 0 otherwise.   Time shifting property…

Q: Find the discrete time Fourier coefficients of the following periodic signal; x[n] = cos^2((T/8)n) O…

A: Discrete time fourier series

Operational Amplifier

An operational amplifier also called op amp is an integrated circuit or analog circuit that takes input as a differential voltage and produces output as a single-ended voltage. It is an IC that can amplify weak electric signals.An op amp has one output pin and two input pins. The basic role of an opamp is to amplify the voltage difference between the two input voltages. It is also used in filtering or to perform mathematical operations or in signal conditioning.