i. y[n + 1] + 1.5y[n] = x[n]
ii. y[n + 1] + 0.8y[n] = x[n]
iii. y[n + 1] -0.8y[n] = x[n]
compute y[n] = for n = 0, 1, 2, when x[n] = u[n] and y[-1] = 0, for the following equations.
calculate the unit step response of a system with the difference equation y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1
Using matlab
Experiment 1 - Marking 1. Section 2.2(a) Given x[n] = (0.7)"cos(0.25m) u[n] Mn] =-0.8y[n-l] + 0.2Mn-2] + 0.11n_3] + 1.2x[n] + 0.2x(n-1] [-1] = 0 I-21 0 f-3] = 1 Determine y[n] for n = 0, . . ., 9 via a MATLAB simulation of the LCCDE.
Sketch the following equations:I. X(n) = ??
(n) - ??
(n-3) – 4U II. X(n) = U(n)- U(n+4) + ∂ (n-3) III. X(n) = 2
?
[U(n)- U(n-6)]
E. The following equations describe the domestic economy: C = 20+ 0.8Y I = 0, G =0, X = 0.03Y* and Q=0.3Y And the following equations describe the foreign economy: C* = 200+ 0.8Y I* = 0, G* = 0, X* = 75 +0.25Y, and Q* = 0.1Y* Suppose the real exchange rates in both economies are fixed and equal to one. 1. Find equilibrium Y and Y*. 2. Suppose that the domestic economy experiences a 10% drop in its...
calculate the unit step response of a system with the difference equation y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1 which one of these choose a)0.5(-0.5)^n-3(-1)^n b)0.75(-0.5)^n-2(-1)^n c)0.5(-0.25)^n-3(-1.5)^n d) 1(-0.5)^n-3(-1)^n
2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for the response y[n]. Use Matlab to calculate the coefficients c) Simulate and plot the response using Matlab.(stem plot) Generate 50 points. (Matlab: x ones(1,50));
2. A system is described by the following difference equation n]1.5y[n0.56y[n -2]+x{n-0.2x{n-] a) Find the transfer function of the system b) Let xn]un]. Compute an analytical expression for...
The following equations describe the domestic economy: C 20+0.8Y I 0, G 0 X 0.03Y, and Q 0.3Y And the following equations describe the foreign economy: C" =2000.8Y I0, G =0, -75+0.25Y, and Q0.1Y X= Suppose the real exchange rates in both economies are fixed and equal to one. Find equilibrium Y and Y* b) Suppose that the domestic economy experiences a 10% drop in its autonomous consumption, a) i.e. the consumption function changes to C = 18+0.8Y Find the...
Consider the solution of the nonlinear system of equations f1(x,y)=2x-4cos(y)=0 f2(x,y)=4xsin(y)=0 We want to start with (x0,90)=(0,7/6) and apply Newton's method to compute (X7,71). Whic one of the following(s) is/are true: (1) The solutions are (0, 1/2) and (-2, 1) 2 (II) The Jacobian evaluated at (0,1/2) is (II) (X1,81) = (0,5 +13) Select one: O a. (I) and (11) b. (II) and (111) c. (l) and (III) O d. None of these O e.(I), (II) and (III)
2. Determine the filter order of the following filter: y[n]=x[n]+0.4x[n-1)-0.5x[n-2]+0.7x[n-9] -ly[n–1]+0.3y[n-2]-0.7y[n–3]+1.5y[n–4] -0.7y[n–5]
Solve using MAT-LAB codes: A. Solve the following difference equations using the sequential method: ylk] +1.5y[k-1]+0.5y[k-2] x[k]+ x[k-1] where 0.8 uk] and and y[-2] = y[ - 1] 0 xk] B. Plot the results for the range 0 s ks 20.
Solve using MAT-LAB codes: A. Solve the following difference equations using the sequential method: ylk] +1.5y[k-1]+0.5y[k-2] x[k]+ x[k-1] where 0.8 uk] and and y[-2] = y[ - 1] 0 xk] B. Plot the results for the range 0 s...