Alength-13Type1real-coefficientFIRfilterhasthefollowingzeros: z1 =
0.8,z2 = −j,z3 = 2−j2, z4 = −0.5 + j0.3. (a) Determine the
locations of the remaining zeros. (b) What is the transfer function
H(z) of the filter?
(Hint: Use matlab function poly to determine the transfer
function.)
Alength-13Type1real-coefficientFIRfilterhasthefollowingzeros: z1 = 0.8,z2 = −j,z3 = 2−j2, z4 = −0.5 + j0.3. (a) Determine the...
Let U ⊂ C4 be the subspace U = {(z1, z2, z3, z4) ∈ C4: z1 + z2 + z3 + z4 = 0 and z1 = iz2}. (a) Find a basis for U. What is dim U? (b) Extend the basis from part (a) to a basis for C4. (c) Find a subspace W ⊂ C4 such that C4 = U ⊕ W. What is dim W?
if z1=2+j, z2=3-j2, evaluate the following: If z,-2 +j, z2-3-j2, evaluate the following: 2z1 -z2 +3-j
Question 1.0 [10 marks] Evaluate dz a. z4+z3-272, With C: Izl = 1 b. J2 cos230 de 5-4cos20 Hint: You may use the following formula without proof, z = e", cos 0 = (z + z^)/2
Question 11 (1 point) Z3 Z4 Z5 In the circuit above, Vs* 100 L 30° V, Z1-100 Ω, Z2-/220 Ω, 23 -j 150 Ω, 24 470 Ω and Z5 = (680 +j330) Ω. Use any method of circuit analysis to determine the voltage across Z3 in polar form. Vz3 11.84 Z 18.18° V z3 100 30° v Vz3-19.39 Z-55.21° v Vz3-89.48 44.07
Ifz-I+),22-1-j, and 3=-2, calculate the magnitude and phase (in radians) of (a) zi (b) z2 (c) z3 (d) z1 +z (e) z z3 (f) z1z2 (g) t22 (h) 을 2. 21 23 21-23 Z1
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input) (42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
Use the circuit below to complete the given MATLAB script to plot the three currents I1, I2, and I3. Run MATLAB then pick an answer from the choices below that matches the MATLAB plot. MATLAB uncomplete script %phasor plot clc; clear all; close all; Z1=2; Z2=2j; Z3=2-2j; %no need to use the * as in 6*j %Vs=8/_45 theta=45*pi/180; %convert theta to radians R=8; [a,b]=pol2cart(theta,R); %note theta first in the arguments Vs=a+j*b; %cartesian form Z23= ___________; % Complete Zeq=____________ ; %...
MATLAB questions. Please answer everything and explain for question 2. Using the Following Functions G()1672) and H() - 54 S+1 s(s+2) 1. Enter the G(s) and H(s) functions. (Take advantage of using either symbolic tool or entering vector format with Commands like tf to generate the transfer function.) Your goal is to find the following: a) X(s) G(s) H(s) Y(s) Cascade system b) X1(s) G(s) Y(s) Parallel System X2(s) H(s) c) Feedback System (Hint: Use commands like cascade(tf), parallel(tf) and...
4. [20 Points We first examine a sequence of rolls of a four-sided die at an the observed outcome Xi E {1,2,3,4}. At each of these times, the casino can be in one of two states z E1, 2}. When z = 1 the casino uses a fair die, while when z = 2 the die is biased so that rolling a 1 is more simple hidden Markov model (HMM). We observe a "occasionally dishonest casino", where at time likely....
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...