Consider the Z-transform of the impulse response h(n) shown below. If we define y(n) as the output of a relaxed system from the system described by its impulse response h(n), and input signal, x(n), determine the following with included systematic and legible solutions:
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Consider the Z-transform of the impulse response h(n) shown below. If we define y(n) as the output of a relaxed system from the system described by its impulse response h(n), and input signal, x(n), determine the following with included systematic and legible solutions:
a. Output response from an impulse input
b. Output response from a unit step input
![0.225(1 – z-2)
H(z)
1+ 0.39z-2 – 0.16z-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd68b004-dcae-4c89-8423-a485de600479%2Fce515f6f-fb74-427b-ad58-d847e82bb556%2Fcyivvpg_processed.png&w=3840&q=75)
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- For each functions find the locations of the poles and zeros, plot them on the s-plane, and then write an expression for the general form of the step response without solving for the inverse Laplace transform. State the nature (overdamped, and so on). of the transfer of each response underdamped, (s+5) f. T(s) %3D (s + 10)Given a digraph D = (V; A; ') with all but one arc (u; v) having non-negative lengths, explain how to determine if D contains a negative circuit in O (m + n log n) of time.Simplify the following Boolean functions, using three-variable Kmaps: F(x, y, z)=Σ(3, 4, 5, 6, 7)
- 2. Assume you have the following truth tables for functions F₁(x, y, z) and F₂(x, y, z): X y 0 0 0 0 1 1 1 1 oK NOH 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 F₁ --| 1 1 0 0 0 1 0 0 F2 ононононл 1 1 1 1 a) Express F₁ and F₂ in sum-of-products form b) Simplify each functiona. Write the Boolean expressions corresponding to the digital circuits shown below. y- Z- b. Use Karnaugh maps to simplify the following Boolean expression 1 1. xyz + xyz + xry z + x yz + x yz + x y z by k- map c. Given a function h: R R defined by h(xr) = x+ 2 and a function g: R R defined by g(x) = x² + 5, find (hog)(2) and hr (10). d. Ifh is a function, h: R R defined by h (x) = -2x +5, find h (-1), h (2), h (-3), h (4). Then write the domain, codomain, and range. Chck Save and Submir to sae and submit. Chck Saue AlAnswers to sne all answers.USE MATLAB TO SOLVE THE PROBLEM A resistor of resistance R is supplied by a battery which consists of voltage source E in series with an internal resistance r. Plot the power P as a function of the resistance R for 1 NA signal's spectrum contains four components: -2500 Hz, -1700 Hz, +1700 Hz, and +2500 Hz. If we assume this spectrum is the product of two sinusoidal signals, what are the frequencies of the two signals whose product gives rise to this spectrum? 400 Hz and 2100 Hz 1700 Hz and 2500 Hz 1300 Hz and 2100 Hz 800 Hz and 4200 HzI'm having trouble understanding what exactly makes a linear ordinary differential equation "linear". I know that the major advantage of the linear ODEs is that a linear combination of particular solutions gives another particular solution. Characterized by additivity and homogeneity, this means that the output for a sum of inputs is equal to the sum of outputs for each individual input (e.g., f(3) + f(5) = f(3+5)= f(8)) and scaling the input by a factor scales the output by the same factor (e.g., f(6x) =6f(x)...but how would this look? Like say if I had 4e^5(t-1) satisfying the differential equation dy/dt=5y where y(1)=4, what would that "linear combination" look like?Examine the following monotone version of the Circuit-Value Problem: M-CVP: A circuit is called monotone if its internal gates are restricted to V-gates or A-gates. It is allowed that the input gates are either constants, variables, or negated variables. Given a monotone Boolean circuit C with one output gate and an assignment for the input variables b e {0,1}". Decide whether r(b) = 1? M-CVP { (C, b) | monotone acceptor circuit C is satisfied by b } . Show that M-CVP is P-complete by proving CVPSimplify the following Boolean equation, in product-of-sum form, using a Karnaugh map. F = AB' + A'BC + ABC'2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…A Boolean function fk of two variables A and B is defined as follows: fk (0, 0) = fk (0, 1) = fk (1, 1) = 1; fk (1, 0) = 0 Assuming complements of A and B are not available, what will be the minimum cost solution for realizing using only 2-input NOR gates and 2-input OR gates (each having unit cost) ? Explain with nessessary digram and expression.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. 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