z transform of a discrete-time y(n) signal 1 Y(2) = ROC: |z| > 1 (1-2 + 1)(1-24– 1). Whats the y(n) signal ? Which one? a. u[n]- -G) un] y[n] = u[n] b. 1 G) u[n] +(-1)"u[n] y[n] C. y[n] = 5) u[n] + u[n] d. 1 y[n] = (등) u[n] ++(1 (-1)"u[n] %3D 1 y[n]

Q: 1) 1) Given that L{f(t)} = F(S) = s+2 s2+4s+5 Without taking the inverse Laplace transform, write…

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Q: Consider an LTI system described by the transfer function H(z) = (2 - (2/7)z"') /(1+(8/3)z!- z3) 1/3…

A: H(z) = (2 - (2/7) * z ^ - 1) / (1 + (8/3) * z ^ - 1 - z ^ - 2)

Q: The input-output relationship of a first order system is described by the differential equation,…

A: Given; a=1 b=4 c=2 Y(0)=0 X(0)=0

Q: 2) Given CT signal x(t) and its Laplace transform X(s) with ROC (o ), please find the inverse…

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Q: 6) Consider the system G(t). Assume the Laplace transform of G(t) is given by G(s). Assume u(t) is…

A: a) If  Ut=δt then  Us=∫-∞∞δte-stdt since δt is defined at t=0, so Us=∫-∞∞δtdt=1

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Q: The relationship betwcen the input, x(t) and the output, y(t) of a LTI system is described by the…

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Q: a. If x[n] X[Z], then show that (-1)"x[n] X[-z]. b. Use this result to show that (-y)"u[n] z/(z +…

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Q: An input signal x(t)=e «-1) u(t-1) is applied to an LTI system with impulse response h(t) = 48(1) +…

A: The given functions are: x(t)=e-2(t-1)u(t-1)h(t)=4δ(t)+e-tu(t) So, the output of the system is given…

Q: 5. Given the difference equation (n + 2)- (n + 1)– - yln)= x(n), y(n- n20 Sо, п> 0 l0, п <0 Applying…

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Q: A continuous-time signal x (t), which is zero for i s 0, has the Laplace transform s+2 X (s) = 3+8s²…

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Q: What is the inverse z-transform of 1?   Choices: δ[n] 1 u[n]

A: In this question,  Choose the correct option  What is the inverse z-transform of 1?

Q: Problem 4. Which gives the Laplace transforms of the given time-domain function?         1.5 ln…

A: given x(t)==-31-cos377tt

Q: The discrete time x [n] sign is given as 1 n = -1 n = 0 x[n] = -1 n = 1 n = 2 other cases the…

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Q: 1) An input signal x()=e -2«-1) u(t-1) is applied to an LTI system with impulse response h() = 48(0)…

A: Given data:

Q: Find the Laplace transform function Y (s) of the following time domain function: y(t) = (t)e"u(t),…

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Q: The Laplace transform of function f(t) is F(s) = 1 . Then f(t) defines as Select one: O ft) = (1/w)…

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Q: Q5) Determine the z-transform of the following signal. x(n) = n(-1)"u(n) 2-1 2-1 (1 + 2−1)2 · |²| >…

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Q: Given the Z-transform of a signal by: X(z) = A. x(n) = (0.6)"u[n] x(n)=0.5(0.6)2nu[n] 24-0.6 |z]>…

A:

Q: The relationship between the input, x(t) and the output, y(t) of a causal system is described by the…

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Q: The input-output relationship of a first order system is described by the differential equation,…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Derive the z-transform of [n] = (n+1) u[n-no] where no is a constant.

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Q: (Find the z-transform and ROC of the signal Ja", g(n) =a²u (10) 0, 10, 20, · n = .. %3| 0, elsewhere…

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Q: Sequences are generated by sampling a causal continuous-time signal u(t) (t > 0) at uniform…

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Q: The Laplace transform of the function f (t) = cos(t – t) e" sin(t) dt is: Select one: Оа. F(s) (s2…

A: The Laplace transform of given function f (t) can we find as shown below.

Q: 1) Consider the signal x(t) = e-Stu(t – 1), and denote its Laplace transform by X(s). a) Evaluate X…

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Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

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Q: Consider the continuous-domain signal : t1 a(t): (1) : where t denotes time, and a > 0 is a…

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Q: Laplace transform of e2t sin 2wt 1 (s+2)²+4w? (s+2)²+4 1 g2+4w? (s+2)²+4w?

A: Function is given, e-2tsin2ωt Laplace transform of sinat is, as2+a2 Therefore, transfer function of…

Q: Consider a linear time-invariant system with impulse response Sa", n20, h[n] = 10, n<0, and input…

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Q: Q1 (a) Use Laplace Transform to find the response x(t) of the system governed by the following…

A: (a) Given system governed by the equationd2x(t)dt2+5dx(t)dt+4x(t)=6.5dy(t)dt+4y(t)x(0)=0,x˙=0y(t)=2…

Q: QUESTION 2 (a) Given the following discrete-time signal, x[n]; x[n]=| u[n] = (2)"[n] Find the…

A: In this question,  We need to Find the Z - transform, X(z) across the corresponding to the signal.…

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A: Part a: Write the expression for the sum of the geometric progression of the infinite terms, Here,…

Q: Iuer the siglnai x(t) = e-5tu(t – 1), and denote its Laplace transform by X(s). a) Evaluate X (s)…

A: Here i have solved it using the properties of laplace transform.

Q: What is the z-transform of the signal defined as x(n)=u(n)-u(n-N)? 1+zN a) 1+z-1 1-zN b) 1+z-1 1+z¬N…

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Q: Let f[k] = ku[k], find the Zee-transform of the sequence: (k – 1)f[k] + 5*f]k] + f[k – 1]u[k – 1] +…

A: PART (a): Given,  f[k] = ku[k] Given sequence…

Q: Q5 (a) Find the Laplace transform of e 3u(t) by using definition. (b) Given the following facts…

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Q: Given the Laplace transforms of the causal functions f (t) and g(1) have regions of convergence o >…

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Q: QIB) Determine the z-transform for the following sequences, sketch the pole-zero plot and indicate…

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Q: 3-Take the following system with the input x, and output y, y(n) = cy(n – 1) + x(n). Take y(n) = 0,…

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Q: using property of Z-transform, transform the expression below yln) - (3/4) yln-1] +(1/8) y[n-2] =…

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Q: (a) For the discrete-time signal given by x[n] = (1/6)"u[n-2] (i) Using the Z-transform definition,…

A: We are advised to answer first part only. As you have not mentioned which part to answer. So, we are…

Q: Consider a system of input x (t) and an output y (t) represented by the following equation dy (t) dy…

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Q: Function of x equals {2, zero<t<five} {0, five<t<ten} {e^4t, ten<t} What is the Laplace…

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Q: nsider a signal y[n] which is related to two signals xi[n] and x2[n] by y[n] = x1[n+3] * x2[-n+1],…

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Q: Find the zero input response and zero state response of Vc(t) and iL(t) for the state equations…

A: By Using Laplace transform for state Space equations

Q: The Z- Transforms of the following continuous functions sampled at t = kT, kEN, The z-transform of…

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Thermistors

A thermistor is a special type of resistor whose resistance is more temperature-dependent than standard resistors.  The resistance of the thermistor decreases with increasing temperature. This is the basic principle of thermistors. This allows the thermistor circuit to detect very small temperature changes that cannot be observed with the Resistance temperature detectors (RTDs) or the thermocouples. Since the resistance of a thermistor is temperature dependent, it can be connected to an electrical circuit to measure body temperature. This high sensitivity to temperature changes makes thermistors very useful for accurately controlling and calibrating temperature measurements. In general, resistance increases with increasing temperature in most metals, but thermistors react negatively.