Consider an LTI system with impulse response h[n]=(a)u[n] a ...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider an LTI system with impulse response h[n]=(a)°u[n] a<1 Write a Matlab program to do the followings: (Only part (d) is analytical a) With a=0.9, Sketch the impulse response h[n] versus n. Select a suitable range of n such that the signal x[n] seems to converge to zero value. b) Find and sketch the step response of the system and find its steady state value. Compare the value obtained with Matlab with the theoretical expected value. c) Let us defined the settling time as the time required for the step response to reach and stay within a range of 5% of the final steady state value. It can be used to evaluate system speed (higher settling time corresponds to a slower system). Use Matlab to find the settling time for this case. d) Find analytically the magnitude of the system transfer function and sketch the magnitude of the system transfer function H(2) versus n in the range 0sn<n. State whether the filter is a low pass or high pass filter and find the 3- dB cut-off frequency. e) Repeat (d) using Matlab. Compare the value 3-dB cut-off frequency estimated using your Matlab code with the one estimated analytically (account for any minor differences). f) Repeat all above steps with a=0.7, 0.5, -0.9, -0.7, and -0.5. a=0.9 a=0.7 a=0.5 a= - 0.9 a=- 0.7 a= -0.5 Settling time Analytical SS value Estimated SS value Filter type (Low-High) Analytical 3dB Q Matlab 3dB Q Consider an LTI system with impulse response h[n]=(a)°u[n] a<1 Write a Matlab program to do the followings: (Only part (d) is analytical a) With a=0.9, Sketch the impulse response h[n] versus n. Select a suitable range of n such that the signal x[n] seems to converge to zero value. b) Find and sketch the step response of the system and find its steady state value. Compare the value obtained with Matlab with the theoretical expected value. c) Let us defined the settling time as the time required for the step response to reach and stay within a range of 5% of the final steady state value. It can be used to evaluate system speed (higher settling time corresponds to a slower system). Use Matlab to find the settling time for this case. d) Find analytically the magnitude of the system transfer function and sketch the magnitude of the system transfer function H(2) versus n in the range 0sn<n. State whether the filter is a low pass or high pass filter and find the 3- dB cut-off frequency. e) Repeat (d) using Matlab. Compare the value 3-dB cut-off frequency estimated using your Matlab code with the one estimated analytically (account for any minor differences). f) Repeat all above steps with a=0.7, 0.5, -0.9, -0.7, and -0.5. a=0.9 a=0.7 a=0.5 a= - 0.9 a=- 0.7 a= -0.5 Settling time Analytical SS value Estimated SS value Filter type (Low-High) Analytical 3dB Q Matlab 3dB Q
Expert Answer:
Answer rating: 100% (QA)
clc close all clear syms n z w wrange pi01pi range of w for magnitude and phase plot nrange 040 n ra... View the full answer
Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
Posted Date:
Students also viewed these electrical engineering questions
-
Consider an LTI system with impulse response h(n) = (1/2)n u(n). (a) Determine and sketch the magnitude and phase response |H (?)| (b) Determine and sketch the magnitude and phase spectra for the...
-
Consider an LTI system with impulse response h(n) = [(1/4)u cos(/4n)] (a) Determine its system function H(z) (b) Is it possible to implement this system using a finite number of adders, multipliers...
-
Consider a causal LTI system with impulse response h[n], and input x[n] = x 1 [n] x 1 [n 2] + x 1 [n 4] where x 1 [n] = u[n] u[n 2]. The impulse response of the system is h[n] = u[n] u[n 2] (a) Use...
-
Use Lagrange multipliers to find the distance from the point (2, 0, -1) to the plane 6x - 2y + 7z+ 1 = 0. X
-
Create graphs picturing the water height as each bottle is filled with water at a constant rate. a. b. c.
-
Define hypercompetitive industry and list the key arenas in which dynamic strategic interactions take place.
-
Find the moment of inertia of a disc: (a) About a line perpendicular to the plane of the disc and passing through the centroid. (b) About a line parallel to the plane of the disc and passing through...
-
Asset and liability recognition and measurement After winning Americas Next Top Mode! in 2006, Danielle Evans signed a contract with Ford Models, was named a spokesmodel for CoverGirl, and signed a...
-
Magic Mountain retires its 9% bonds for $128,000 before their scheduled maturity. At the time, the bonds have a face value of 126,000 and a carrying value of $117,000. Record the early retirement of...
-
Peta is married, filing joint with two other dependents, is paid $17.25 per hour, and receives commission on sales. No commission is paid out until sales exceed $60,000. Once the minimum sales have...
-
6. f(x)=9x++ 142x3 + 102x - 1386x + 3 has a maximum or minimum at the points where x = 1.5 and where x = -. Use instantaneous rates of change to verify this, and to classify each as a maximum or a...
-
Briefly summarise the processes used by the organisation to manage sales, invoicing, purchasing, payments and receipts and give at least one detailed reason for each process to show why it is...
-
How do micro-level interactions intersect with broader macro-level structures, such as institutional arrangements, cultural discourses, and historical contexts, to produce and reproduce patterns of...
-
In what ways do micro-level phenomena, such as everyday rituals, conversational rituals, and nonverbal communication, contribute to the construction and maintenance of social order and cohesion...
-
How do microsociological analyses contribute to our understanding of deviance and social control mechanisms, including the labeling process, social stigma, and informal social sanctions, within...
-
Never On Time airlines' flights have been constantly delayed lately. They received several complaints from their customers. They hired you as a consultant to determine the cause(s) of the problem by...
-
Leslie Mosallam, who recently sold her Porsche, placed $10,400 in a savings account paying annual compound interest of 5 percent. a. Calculate the amount of money that will accumulate if Leslie...
-
Question 6.10 Current and deferred tax worksheets and tax entries From the hip Ltd?s statement of profit or loss for the year ended 30 June 2007 and extracts from its statements of financial position...
-
An AR(3) process is characterized by the prediction coefficients a3(1) = -1.25, a3(2) = 1.25, a3(3) = 1 (a) Determine the reflection coefficients. (b) Determine xx(m) for m 3. (c) Determine the...
-
Repeat Problem 11.9 for an m-step backward predictor.
-
Determine the zero-state response of the system y(n) = y(n 1) + 4x(n) + 3x(n 1) to the input x(n) = e j0nun. What is the steady-state response of the system?
-
One of the disadvantages of the IEEET1 exciter is following a fault the terminal voltage does not necessarily return to its prefault value. Using PowerWorld Simulator case Problem 12_3 determine the...
-
Obtain a copy of the ACAS Code of Practice 1: Disciplinary and Grievance Procedures (2009). Use this, and our suggestions in this chapter, to rewrite or modify either of the procedures you used for...
-
Rework Example 13.6 if the source impedance at the sending end of line \(\mathrm{A}\) is \(\mathrm{Z}_{\mathrm{G}}=\mathrm{Z}_{\mathrm{A}} / 4=100 \Omega\), and the receiving end of line...
Study smarter with the SolutionInn App