1) A discrete-time, causal and LTI system is shown below. x[n] and y[n] are input and output signals of the system. Min] -yin – 1]+sin – 2] = x[n] a) Find the system function, H(z), and the impulse response, h[n]. b) Find the step function, s[n], of the system. (Hint: if x[n]=u[n]. y[n]=s[n]) c) Find the z-transforms of the signals xfn] = n u[n- 2] and xfn]= u[n-1]. u[n] using the properties of the z-transform. Write the results as the functions of X(z). d (Hint: nx[n]<>-zX(2)) dz

Q: Based on the block diagram of a discrete-time system given in Figure 3, X(z) + Y(z) -1 az Figure 3…

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Q: 1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented…

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Q: (A) Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2, -1,…

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Q: |1. Consider the systems given by the following input-output relationships. In each case, determine…

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Q: Q3: a) Consider a closed-loop transfer function is: Y(S) do R(s) s +a,s+a, From its below response…

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

Q: 10.3. Given the LTI system of Figure P10.3, with the input x[n] and the impulse response h[n], where…

A: Solution:-  xn=0,1,1,1,1,1,1,‐‐‐‐   taking  Z-transform  xZ=Z∧-1+Z∧-2+Z∧-3+Z∧-4+Z∧-5+Z∧-6…

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Q: Plot the poles and indicate the region of convergence

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Q: You have the transient response of a closed-loop system as shown in the figure, the entry being a…

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Q: 1. The system function of a discrete-time LII system is given by H(z) = z2 + 1.6z – 0.8 a) Sketch…

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

Q: Problem 2: Consider two discrete-time systems with the following impulse responses: h, [n] = 8[n] –…

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Q: Consider a causal, LTI system described by the following difference equation: 3. y[n] – 3y[n] +…

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Q: 4. Find the impulse response h[n] for the causal LTI discrete-time system satisfying the following…

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Q: Consider an FIR LTI system with impulse response h[n] = 8[n – 1] – 8[n + 1]. (a) If x[n] = }(1– sin…

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Q: An LTI system that has an impulse response given by n, -3 <n < 3 = [u]y 0, otherwise Compute the…

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Q: The open-loop transfer function of a discrete system is given by expression: Y(z) U(z) 1 z²z+0.5…

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Q: 2. An LTI, causal system is described by the difference equation y(n) = y(n – 1) –y(n – 2) + x(n) –…

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Q: 6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n]. describes a discrete- time…

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Q: Part B A linear time-invariant discrete-time system has an impulse response h(n) = {co.6)" , n 5…

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A: h(n) = ∑K=-∞∞δn-khn = .............δn+5+δn+4............δn+δn-1..........δn-5.....hn = 1 when n is…

Q: 4. A discrete-time system has an 1/0 description of y (n) = ny (n – 1) + x (n). Determine and sketch…

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A: Desired poles are at -3 and -4

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A: Dear student you are asking multiple sub part at a time.we have limited time to solve your…

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Q: 6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n], describes a discrete- time…

A: SS

Q: ii. A causal discrete time LTI system is described by y[n]-n-1]+Mn- 2]= x[n] , where xtn]and y[n]…

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Q: A causal LTID system is characterized by the following difference equation: y[n] - y[n-1] + 0.16…

A: we have given y(n)-y(n-=1)+0.16y(n-2)=x(n)Solution e) taking Z transform y(z)=Z-1Y(z)+0.16Z-2…

Q: 1.A discrete time and causal LZD system, x [n] and y [n] being the input and output signals of the…

A: a ) taking z transform of the given signal  yz-34Z-1yz+18Z-2yz…

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Differential amplifier

There are two amplifying stages with common degeneration in a differential amplifier.