4. Find the Fourier Transform of the triangular pulse (1- t for - 1

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Q: (t+1, -1<t<0 0<t<1 14) Given a signal 1. a(t) = %3D 2 t. 1<t<2 0, otherwise Let X(@) denote the…

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Q: 2. Find the Fourier Series of f(t) given by: f(t) = f (t) = {-6 -n<t<0 6 %3D 0<t<T 3. Find the half…

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Q: Find out the discrete time fourier transform of the signal y[n]=an u[n] where a&lt;1.

A: For any discrete time signal y[n], the discrete time Fourier transform of y[n] can be expressed as

Q: 2. Determine the convolution of the two sequences X1(n) and x2(n) using their Fourier Transform.…

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Q: The Fourier series coefficient of time domain signal x (t) is Cx[k] = j8[k-1] – j8[k+1] + 8[k+3] +…

A: x(t) = summation(cn exp(j2*pi*t)) Where cn is the fourier series co efficient.

Q: Recall that the Dirac delta function can be defined by the identity ** 8(x)ƒ(t — x) dx = f(t). (a)…

A: Given: Dirac delta function, ∫-∞∞δ(x)f(t-x)dx=f(t) To do: a) show that δ(-x)=δ(x) b) find a Fourier…

Q: Be able to calculate the Fourier transform of a function Find the Fourier transform of each…

A: (a) f(t)=te-at , t&gt;0 Fourier transform of e-at is Now according to the property of…

Q: 1. Find the Fourier Series of f(t) = t² where te[-6,6] and f(x + 12) = f(x). %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: a. Find the Fourier transform of the rectangular pulse signal x(t) defined by x(1) = p,(t) = 0 Iel >…

A: the Fourier transform of the rectangular pulse signal.  Inverse Fourier transform of the given X(w)…

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

A: From the exponential Fourier Series

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Q: Q2 )a) Evaluate the following integration •o Sin²(8t) dt t2 b)The Fourier transform of the signal…

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Q: Question 1: Determine the causal signal x(n) if its z-transform X(z) if ROC is 0.8</z/<1.25.    A.…

A: 1. Option E 2.True Explanations are as below

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Q: 3.37. Consider a discrete-time LTI system with impulse response h[n] = Chap. 3 Problems 261 Find the…

A: Given: Consider a discrete-time LTI system with impulse response: hn=12n To find: Find the Fourier…

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Q: Problem (6) A discrete-time periodic signal x[n] is real valued and has a fundamental period N= 5.…

A: Given a discrete-time periodic signal x(n) is real valued and has a fundamental period N=5. Given…

Q: 2) A discrete-time periodic signal x[n] is real valued and has a fundamental period N = 5. The non-…

A: x(n) is expressed in the given form as shown below

Q: Problem 2: Draw the time domain signals for which the Fourier Transform is given as follows. a) X(@)…

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Q: Consider a continuous time periodic signal x(t) with fundamental period 8 and Fourier series…

A: Given Fundamental period T =8 Fourier series coefficients are

Q: x[n]=[4,5,2,1] Find the Fourier coefficients c0, c1, c2, c3 for the discrete time signal given to e.

A: Given: x[n]=[4,5,2,1] to find: Fourier coefficients c0,c1,c2 and c3 for the discrete time signal.

Q: (a) Find the Fourier Transform of the following two signals. i. r(t) = 3 rect (4). ii. r(t) =…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Determine the Fourier transform of the following signals: a) x1(n] = 2– sin(2" + ) b) x2[n] = n(u[n+…

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Q: a. Find the Fourier transform of the rectangular pulse signal x(t) defined by 1 x(1) p.(t)- Iel> a

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Q: 180 The output of a system is y(t) = 3x(t-2). where x(t-1) is the input. The system impulse response…

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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 Fourier Transform for the following non periodic function. 1, - 1 1

A: In the question,  Find the Fourier transform of the non periodic signal.

Q: Be able to calculate the Fourier transform of a function Find the Fourier transform of each…

A: Fourier transform of e-atsinω0t…

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Q: Determine the Fourier transform of the following signals: 2лп a) x1[n] = 2– sin(2" +) b) х2[п] —…

A: Given:A)x1n=2-sin2πn5+π5fundamental frequency, N=2πω0…

Q: a) A function, f(t), is defined as f(t) = {". 0<t<4 otherwise Determine the Fourier transform of…

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Q: For the following two continuous time signals: x(t) = 4e¯3{u(t) x(t) = 2P1(t) %3! 1. Find the…

A: Solve the problem

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

A: Given, T=8a1=a-1=6.8a3=a-3*=13ja-3=13j*=-13j Fundamental frequency of the signal is given by,…

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: A3. Show that for an even function, the Fourier coefficients are: (a) a, = | S(1) cos- dt, r = 1, 2,…

A: A3 The Fourier series of a periodic function  f(t) is given as:…

Q: find the Fourier series - 1<t <0 0, f(t) = {t2, (2 – t, 0 <t<1 1<t< 2

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Q: 5.1 Find the Fourier transform of 1, 0<t<1 0, 1<t<2 x(1) = -1, 2<t<3 0, otherwise

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Q: The derivative of the signal The output of a system is y(t) = 3f(t – 2), where 8(t-3) is the input.…

A: In this question , we will find impulse response of system...

Q: x(t) = |cos(ωt)| for ω>0. Find the Fourier transform of x(t).

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Q: O 0.5e j/2 An LTI system is defined by its unit impulse response h(t) = u(t). If the input is x(t) =…

A: In this question we will find output for LTI system..

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…

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Q: Home Work1: Find the Fourier transform to the function given below: for t 0 %3D 1

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Q: Given the following signal; x(t) = (1+ 5)[(u(t + 2) – u(t)] + (1 – 5)[(u(t) – u(t – 2)] | Compute…

A: Fourier Transform- It is the process in which either a time-domain signal is converted to the…

Q: Q':A- A signal is given by the following expression: 2k f(t) =- G4-0号1> o' 7>1>- Find the signal…

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Analog to Digital Converters

The analog-to-digital converter (ADC) allows circuits controlled by microprocessors, Arduinos, Raspberry Pi, and various reasonable digital circuits to be connected to the real world. In the real world, analog signals have a continuous stream of information from a variety of sources and sensors capable of measuring sound, light, temperature, or movement, in addition to the many digital systems that interact with their environment by measuring analog signals from those transducers.