A DSP system is described by the following differential equation with zero initial condition: y(n)+0.1y(n-1)-0.2y(n-2) =x(n)+x(n-1) a. Determine the impulse response y(n) due to the impulse sequence x(n) = (n). b. Determine system response y(n) due to the unit step function excitation, where u(n) = 1 for n 0.
Q: For the following causal LTI syste, y(n) = 0.7y(n - 1) – 0. 1y(n – 2) + 2x(n) - x(n –:) determine:…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: Consider a discrete-time LSI system with impulse response, h[n] = al™!. is the condition on the…
A:
Q: 8. We want to design a causal discrete-time LTI system with the property that n-1 if the input is…
A:
Q: (1)Consider the first order system given by 5c(1)(t)+c(t)=r(t) (a) Determine the output of the…
A: Given first order differential equation5C't+Ct=rt⇒5dctdt+Ct=rt-1where ct=output , rt=inputTaking…
Q: Solve All parts or will dislike answer A. Find the open-loop transfer function . Y(S) / R(S) B.…
A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…
Q: When the position-following response can be approximated with a first-order system, set an…
A: There are two different questions but as per Bartleby guidelines I am submitting the first question…
Q: x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system…
A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…
Q: For the following causal LTI system, y(n) = 0.7y(n - 1) – 0. 1y(n – 2) + 2x(n) – x(n –:) determine:…
A: The output of IIR system depends on present and past input as well as past output. IIR system are…
Q: The plant Gp(s) = (s + 3) / (2s(s + 5)) is connected to a closed loop system with feedback transfer…
A:
Q: 16(S + 2) G(s) s(s + 1)(s + 4)(s + 8) + R(s) G(s) Y(s) Fig LUnity feedhack system
A: Here i have derived the answer with the information given.
Q: O/ Determine the steady –state errors for unit- ramp input and a unit-parabolic input for the…
A: Given data, Gs=140s+5s2s+1s+7
Q: Regarding the discrete time signal x [n] given below, x [n] = {-1, 2, 0, 3, -7, 6}; x [0] = 3 a)…
A: Given signal is Since given that x0=3 we show arrow mark near 3. Left side of 3 represents x…
Q: The transfer function of a plant is G(s) magnitude equal to 1 is applied, r(t) = u(t). Answer: 0.25…
A: Control systems are ubiquitous in engineering and everyday life. At their core, control systems…
Q: A process has the following open-loop transfer function: G(s) = 0.2 / s + 2 Assuming that this…
A: In this question, we need to determine the steady state error for unit step input. Steady state…
Q: QI/For the system described by the impulse response h(n)=0.2" a) Plot the poles and zeros b) Find…
A:
Q: (ii) say whether H(e) as a function of w is even or odd or neither (iii) and sketch/plot the…
A: Given: Three different Impulse response sequences. To find: For each of impulse response, we have to…
Q: 2: a) Determine the steady-state error for three step input for the following unity-feedback control…
A:
Q: A system has a complex conjugate root pair of multiplicity two or more in its characteristic…
A:
Q: 1) A discrete-time, causal and LTI system is shown below. x[n] and y[n] are input and output signals…
A:
Q: b) The output response y, of a discrete time system is given by Yn = 2 xn + 0.55 yn-1 – 0.1 yn-2 i)…
A: The output of IIR system depends on present and past input as well as past output. IIR system are…
Q: (b) The trans fer function of a system is given by G(s) s2 + 10s + 30 Calculate the response of this…
A:
Q: An LTI system has an impulse response described in figure. Is the system causal and stable? (The…
A: Evaluating the Z-transform of the given system:
Q: A discrete LTI system has an input x[n] and impulse response h[n] shown below. Find the output y[n]…
A:
Q: a) The input sequence, x[n] to a finite impulse response discrete-time system and its corresponding…
A: Since you have posted a question with multiple sub-parts, we will solve the first part for you. If…
Q: Consider a system with impulse response: h(n)=G),0<nS4 0, otherwise Determine the input x(n) for…
A: This question belongs to signal and system . It is based on the concept of convolution of discrete…
Q: Q1) Impulse response and the input of a discrete time LTI system are respectively h[n] = 28[n] – 8[n…
A:
Q: Q2/ A discrete-time system is described by the following transfer function (z – 0.5) (z – 1) (z +…
A: Given that
Q: 5y(n – 1) = ßx(n – 1) – x(n – %3D response is
A:
Q: se the closed-lo- 485 2
A: According to question: The damping ratio and natural frequency of given control system is calculated…
Q: Problem 02. Consider the closed-loop system with measurement noise N(s) as shown in the below figure…
A:
Q: 02: For the pole-zero plot shown in figure Q2, answer the following a- Find the time response (y(t))…
A:
Q: 6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n]. describes a discrete- time…
A: Signals and systems
Q: Let a causal LTI system modeled by the following equation v(n)=y(n-1)+y(n-2)+x(n=1) be given. a.…
A: As per our policy, i am attempting first three parts, Given causal LTI system, yn=yn-1+yn-2+xn-1 a)…
Q: Consider a discrete-time LTI system with the input signal and impulse response: X(n) h(n) 1 3. -2 -1…
A: in this question, Input and impulse response discrete signals given. Write mathematically…
Q: 3. Two discrete-time LTI systems, whose impulse responses are h (n) and h(n), are cascade connected…
A: I solved subpart c before subpart b because data of subpart c required to solve subpart b
Q: Consider the system with difference equation y(n)- 0.16(n - 2) = x(n), (1) When the input x(n)is the…
A:
Q: Impulse response and the input of a discrete time LTI system are respectively h[n] = 28[n] – 8[n –…
A:
Q: The input x(n] and the impulse response yin] of a disorete-time LTI system are given by x[n] =…
A: This is a basic problem of signal
Q: -Determine the corresponding H(z). Is the diagram causal and stable? -If the system is stable, is…
A: We are going to identify the transfer function H(z), coming up with zeros as well as poles:…
Q: Problem 4: An LTID system has an impulse response function given by h, [n] = 8[n +2] - 8[n - 2]. A…
A:
Q: Q1) Impulse response and the input of a discrete time LTI system are respectively h[n] = 28[n] – 8[n…
A:
Q: Question 4. Consider a causal system whose input output relationship is given by yln] -yln – 1] +yln…
A:
Q: Consider the first-order discrete-time system given by the difference equation: ynayn-1]+x[n] The…
A: Given:difference equation of a first order DT system, where x[n] and y[n] are causal signals. we…
Q: The function given by the equation x(n)=1, for n=0; x(n)=0, for n#0 is a, a) Step function b) Ramp…
A: The correct option along with the explanation is presented in the following section:
A DSP system is described by the following differential equation with zero initial
condition:
y(n)+0.1y(n-1)-0.2y(n-2) =x(n)+x(n-1)
a. Determine the impulse response y(n) due to the impulse sequence x(n) = (n).
b. Determine system response y(n) due to the unit step function excitation, where u(n)
= 1 for n 0.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
- 3. given the system coefficients below. The initial conditions are given as y(-1) = 1 and y(-2) = 1, and x(n) = 3u(n). Solve for the zero-input, zero-state responses, and the total response of the system b, =[1 -2 1] a = [1 -0.77178 0.7225]Q1: For the causal system shown in the figure below (a) Find and sketch, the first five samples of the impulse response A[n] and step response s[n] (b) Determine the final value of s[n] as n—oo (c) Find the response to a rectangular pulse input with pulse duration equal 5. x[n] 0 yln] — —> T (05)—Q3 Suppose that the discrete-time LTI system has the impulse response h[n] given in Figure below. The system input is the unit step function. Find the output y[n]. ... -1o1 2 3 -101 2 3 4 5 n
- PROBLEM: A unity feedback system has the following forward transfer function: 10(s + 20)(s + 30) G(s): s(s + 25)(s+35) a. Find the steady-state error for the following inputs: 15u(t), 15tu(t), and 15ru(t). b. Repeat for 10(s + 20)(s + 30) S(s+25)(s+35)(s+50) G(s) ANSWERS: a. The closed-loop system is stable. For 15u(t), estep(0) = 0; for 15tu(t), eramp(0) = 2.1875; for 15(r)u(t), eparabola (0) = 0. %3D %3D b. The closed-loop system is unstable. Calculations cannot be made.(a) Digital Convolution Consider an LTI system that has an impulse response h[n] given in the figure below (and is zero everywhere else): h[n] 3 2 1 -1 1 n -1 -2 -3 Suppose the input to the system is x[n] = u[n + 1] + u[n – 1] – 2u[n – 2]. Determine the output of the system, y[n]. You may provide your answer either as sample values and their corresponding sample number (n) or using a plot, remem- bering to label your axes.A discrete-time system is defined as: p(1) -n-1) = x(n-1) Input x[n] and output y[n] is valid for n 2 0, and zero for n < 0. Assume the input is an impulse function, 8[n]. Is this system is a finite impulse response (FIR) or an infinite impulse response (IIR) system? Give your reason. (ii) Calculate the output y(n) for 0QUESTION 2 A unity feedback system has the open loop transfer function shown below. Find K to yield a steady state error of 0.5 for an input R(s) = 50U(t) where U(t) is the unit step function. K(s + 12) G(s) =- (s +5)(s + 10)2. When an input as a unit step function is applied to a system whose impulse response is h[n]=[0.4]nu[n], the highest value to be obtained at the output is ..... This is a control systems question.Consider the digital signal processing block diagram shown in figure below: 5) Is the impulse response of the system BIBO stable or not? 6) Find the frequency response of the system. 7) Is the impulse response of the system FIR or IIR? h(n) = 3(-1/4)" u(n-1) Input Digital Signal A/D Signal DIGITAL PROCESSING D/A x(n) y(n) x (t) = 3 cos(507) for 020 3. For the open loop transfer function G(s) = (s+3) a. Sketch the original closed loop step response b. Design a PI controller that will optimize the response c. Sketch the final closed loop step response2. For the Transfer Function defined as T(p) = 1 p²+6p+25 i. Write the Characteristic Equation and determine the system poles. ii. Plot the poles on an Argand Diagram and using the Diagram determine the systems undamped natural frequency and coefficient of damping. iii. Given that the system response will be of the form Σ A₁e Pit, where Ai is a constant coefficient and pi the value of a system pole, determine the form of the system response to a unit impulse input at time t=0 and sketch the resultant waveform.Find the impulse response of the systems below. Use the impulse response to find the output for unit step input. Comment on the ROC of the impulse response, and stability (a) y(n) – 10y(n-1) = x(n) + x(n-1) (b) y(n) – 3y(n-1) + 2y(n-2) = x(n)Recommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,