e) Suppose the two sequences x[n and h[n] are given as below. x[n] = cos n = 0,1,2,3 h[n] = 3", n=0,1,2,3 i. Calculate the y[n] by calculating directly using the 4 point circular convolution y[n]=x[n] @ h[n]

Q: Find the total solution of the system given by y[n+2]-5y[n+1]+6y[n]=x[n+1]-5x[n] if the input x[n] =…

A: We need to find total solution of the system given  by: y[n+2]-5y[n+1]+6y[n]=x[n+1]-5x[n] if the…

Q: Draw the CT signal x(t) = u(t+2) + 2r(t) - u(t- 2) for the time period -3 sts 4. NOTE: r(t) is %3D a…

A: Draw the continue time signals.  u(t) is step. And r(t) is ramp signal.

Q: 5. If (x, y, z) = xy'z and F = xz ax- xy2 ay + yz2 az, Find: a. H= F (1 point) b. a (H) /Əz at the…

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Q: Q3. If F = x²a, + y'a, + (z² – 1) a, find F· dS, where S is defined by r= 2,0 < z < 's 2,0 < ¢ < 2r.

A:

Q: Q4. Вy means of DFT & IDFT, determine the linear convolution of the sequence x(п) %— {1,0, 2}, h(n)…

A:

Q: Q4/ Convert the below state space system to transfer function. и 2.5. y = [0 1]

A:

Q: a. The failure density function fit) for a type of integrated circuit is given by f(t)=0.3e The…

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

Q: Draw a root locus diagram for the following system. Compute the values for any breakaway ints,…

A:

Q: For the system illustrated below, M- 8.0 kg: x=0 f(t) M VISCOUS surface friction fv = 1.50 N-s/m…

A: The force equation for the above system shown in question is given by: Where, The velocity of the…

Q: 3. For x[n] = {1, 1, 0, 0},y[n] = {1, 0, 1, 0}, evaluate circular convolution z[n] = x[n]y[n] (a) By…

A: circular convolution by using defiation of circular convolution is given as

Q: ⇓ Given x[n] = {4, 6, 8, 3} Analyse a. s[n] = x[n - 1.5] b. z[n]y[n/2] where y[n] = x[−n + 2]

A: Given:  x[n] = {4, 6¯, 8, 3}the signal x[n] is starting from n=-1where x[-1] =4, x[0]=6, x[1]=8,…

Q: If F(s) = s 4+ 5s3+20s 2 + 40s + 50 , Investigate the stability of this system

A: F(s) = s4 + 5s3 +20s2 + 40s + 50 , Investigate the stability of this system?

Q: 3.33 If F = x'a, + y'a, + (z? - 1) a, find F. dS, where S is defined by p = 2,0 < z < 2,0 < ¢ < 2T.

A:

Q: Given a causal LTI system h(t) = e-ktu(t), where k>0, determine the zero state response of the…

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Q: c) x(n) = (1, 0, -2, 3) h (n) = (1, -1, 2, -1, 1),

A:

Q: A discrete time LTI system is described by the difference equation below. 8y[n] – 6y[n – 1] = x[n].…

A: Part (a): Consider the discrete-time LTI system, 8yn-6yn-1=xn                           ⋯1 In order…

Q: Consider the following electrical system:    a) Obtain the following state space model and…

A:

Q: A. Fill in the following table using: F (A, B, C, D) = E (1, 4, 3, 5, 9, 11, 14, 15) B. Using the…

A: Given:  Brief description: In the above given question they have mentioned set of minterms. For the…

Q: If h[n] = [1, 2, 1]. And x[n] = [3, -1, 2,0, 1] Find y[n]= h[n]*x[n]

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Q: Suppose that we start with the sequence 1 1 1 1 1, 2'4'8'16'32 64 1 1 If we denote the above…

A:

Q: Find the convolution of x[n] = {1,2,3,1} and h[n] = {1,2,1,-1} , origin at 2.

A: x[n] = {1,2,3,1}               ↑ h[n] = {1,2,1,-1}                ↑ origin at 2

Q: You are planning a trip to a new high altitude space station. Your spacecraft is in an initial 200…

A: Present earth orbit altitude = 200 km Vis-viva equation is expressed as v = μ(2r-1a)  where v -…

Q: 2) The system function H(z) of a stable LTI system has three poles and three zeros, as shown in the…

A:

Q: Compute the convolution y(n) = x(n) * h(n) , Where x(n) = {1,1,0,1,1} and h(n) = {1,-2,-3,4} , Using…

A: Compute the convolution y(n) = x(n) * h(n) , Where x(n) = {1,1,0,1,1} and h(n) = {1,-2,-3,4} , Using…

Q: 2. Determine the divergence of the following: a. A = x³ a, - 2xy² a, b. B = x² a, - 2y³ a, + 2z? a,…

A:

Q: Q3) Assuming x(n) = {1,2j, 1, 2 + j} for n = {0, 1, 2, 3}, answer the following questions. a) Find…

A: The discrete time Fourier transform of  the sequence is given by the following formula:- X[k] =…

Q: G(s)=((s+1)*(s+15))/((s+0.1)*(s+2.5)*(s+120)*(s+240)) 1-draw nyquist 2- Nyquist criterion, compute…

A:

Q: b) i) If F = x*a, + y?a, + (z² – 1) a, find | F.ds where S is defined by p = 2,0 < z < 2,0 <6 < 2n

A: F=x2ax+y2ay+z2-1azρ=20&lt;z&lt;20≤ϕ≤2π

Q: X (t) = A, cos (t + 0) %3D Where A, is a real constant, 2 is a random variable with density function…

A:

Q: Q2 (a) Given the following signal. a[n] = { ..., 2 ,3,1,2,3,1,2,3,1, ... } b[n] = {…

A: First we add the signals a and b to get c. Then we will perform convolution on c. From result we…

Q: Given that H, = - 2d, + 6a, + 4a, A/m in region y - x- 250 where %3D | 41 = 5H0, calculate B1, B,.…

A: Given H1=-2ax +6ay+4 az   μr1= 5 μ0   There is no information about the relative permeability of…

Q: The unit-sample response has the form 1 1 h1] = un – 1) + a"-4n - 1) - u/n, where a. The…

A: Z-transform

Q: 4. For each of the following statements, determine whether it is true or false. If you think it is…

A:

Q: Consider the region defined by |x|, ]yl. and Iz| < 1. Let Er = 5, и, 3D 4 аnd o — 0 If Ja = 20 cos…

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Q: Q2) (a) If D = 15p sin(20) a, + 10p cos(20) a, C/m2, evaluate both sides of the divergence theorem…

A: D=15ρ2sin2ϕaρ+10ρ2cos2ϕaϕ C/m2According to Divergence Theorem:∯D→·ds→=∬∫∇→·D→…

Q: 3 The life of an automotive component can be modelled by a Weibull distribution.

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

Q: Q/Find x(n) © h(n)by using a graphical method * x(n)={3, 2, 1 ,5} h(n)={-1, 1, 1 }

A: Xn=3 , 2 , 1 , 5h(n)=-1 , 1 , 1y(n)=∑n=-∞∞X(k) h(n-k)  Range of n Lower range of y(n) ,YL=XL+hL= 0+0…

Q: 3. Consider the state space system [1 2 š(1) = 2 *0)- x(t)+ u(t). (a) Is the system plant stable?…

A: Given state space system  x˙(t)=1021x(t)+2-2u(t)

Q: 3. A communication system has five stages, with g and attenuations of 12, 245, 68, 231, and 9 dB.…

A: In this question we will find overall gain with given individual data...

Q: Question(2) Show that the first column of the Routh array of s" + a₁s"−¹ + a₂s¹−2+ is given by where…

A: Given, sn+a1sn-1+a2sn-2+..............+an-1s+an=0 Here, we have to prove that Routh Hurwitz table…

Q: Starting position of an object is represented as 5.1±0.2m and finishing position as y=6,9±0.3m. What…

A:

Q: Find the Norton circuit, that is, In and .Rn, for the circuit given below R1 12 2 R3 A 6.8 0 R2 VS…

A: The load RL is connected across 'AB'. So we have to find the norton equivalent circuit the terminal…

Q: Q/Find x(n) © h(n)by using a graphical method x(n)={3, 2, 1 ,5} h(n)={-1, 1, 1 }

A:

Q: If x[n]=(3,0,2,1) and hinl=(1,0,3,0), then x[n] O h[n] (9,3,11,1) %3D Select one: O True O False

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Q: Determine a range of values of a system parameter K for which the system is stable. T(s) = ( K / (…

A: Determine a range of values of a system parameter K for which the system is stable

Q: EXAMPLE 7.1.2 A finite-duration sequence of length L is given as 0 L.

A: Given sequence is =

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.