I need help on the following system realisation question.
I need help on the following system realisation question. 3. For a SISO time-invariant system, show...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
1. Consider the block diagram continuous-time, linear, time-invariant system shown be- low. A Ali (a) Find the transfer function of the system. Show your work. (5 points) (b) Draw the canonical direct form realization of this system using multipliers, in- tegrators and adders. Show your work. If you do not know how to do part (a), you can state so, and draw the canonical realization of the system with transfer function 3s - 11 52 + 7s +12 Note: This...
Part B, Part C and Part D...Thanks Question 1 Consider the interconnection of Linear Time-Invariant (L.TI) system shown in Figure Q1: h2(n) Figure Ql The individual impulse responses are defined as: 1, n=0,1,2 L0, elsewhere hi (n) h2(n) (n)(u(n) -u(n 3)) h3 (n) 6(n 2) a) Define Lincar Time-Invariant (LTI) system. (3 marks) b) Determine the overall impulse response htotal (n). (12 marks) o) Determine the output y(n) if the system is excited with the following input: x(n) = δ(n...
1. A linear time-invariant system hn is characterized by the following z transform function 3-42-1 1-3.5+1.5-2 (a) Calculate the poles and zeros manually. Plot the poles and zeros using Matlab. Does Matlab result agree with your calculation? (b) If the system is stable, specify the ROC of H(z) and determine hn (c) If the system is causal, specify the ROC of H(z) and determine hn
1) Determine if the discrete-time system,y[k] =x[k] +r·y[k−1]is linear / time-invariant / causal / memoryless. Show your work and explain each property. Start by assuming,x1[k]→y1[k], x2[k]→y2[k]. 2) Determine if the discrete-time system,y[k] =x[k] +rk·y[k−1]is linear / time-invariant / causal / memoryless. Show your work and explain each property. 3) For the system in part 1), if x[k] = 100·u[k−1] and y[k] = 0 for k<0, what is the range of values for r that makes this system BIBO stable? Show...
Really short question! Please help me to solve ONLY part(b) with R code. Thank you! Problem 4 [26 points] (Section 2.4): Consider a one-sample z-test (known variance) with hypotheses: Ho: μ lo vs H, μ *Ho. The probability of Type II error can be written in the form |ß D(%2_Jnd)-0(-%2_Jnd) where Φ㈠ is the CDF of N(0,1), d Isyo, and δ is the difference between the true mean and the mean under Ho (a) [10 points] Based on the fact...
Question 2 A linear time-invariant (LTI) system has its response described by the following second-order differential equation: d'y) 3-10))-3*0)-6x0) dy_hi dx(t) where x() is the input function and y(t) is the output function. (a) Determine the transfer function H(a) of the system. (b) Determine the impulse response h(t) of the system.
Given a linear time-invariant system in state-space representation: -100 5*+u(t) y=[1 0]x (i) Determine the transfer function of the system. (ii) Build an equivalent mechanical system showing all the parameters. (ii) Derive an expression x(t) for this system for step input. Is the mechanical system over damped, under damped or critically damped system?
HI I NEED JUSTIFICATIONS, PLEASE HELP ME UNDERSTAND THANKS!! :) 2. [4 points) Let X1,..., Xn be a random sample from a distribution with mean li and variance o; and let Y1,...,Yn be a random sample from a distribution with mean H2 and variance oz. Suppose that the two samples are independent and both means Hi and H2 are unknown. For each scenario, please indicate whether the statement is T (TRUE) or F (FALSE). No justification is required. T 1...
Hi, I need help with this Question? Q. Determine the number of atoms or molecules in the following: a) 20.0 grams of H2 b) 84.6 grams of Na2CO3 c) 9.432 kg of Bel d) 0.75 moles of Ca3(PO4)2