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]
Q1(b). Given the following difference equation: y(n) + y(n-1) + 0.25y(n-2) = x(n)-0.4x(n-1). (1) Determine the transfer function representing the LTID system. (2) Determine the output of the LTID system for the input x (n) (0.4)nu(n).
2) The system function of a filter at rest (zero initial conditions) is 1 +0.9z-1 1- 0.7z-2 The difference equation is: a) y[n]-x[n] + 0.9x(n-1]-07y(n-2] d) y[n] = x[n]-0.9x(n-1-0.7y[n-2] e) y[n]-x[n] + 0.7x[n 10.9y[n - 1]
a=7 b=4 1. For the given system y[n]-0.3y[n-1]-0.4y[n-21 x[n]-0.2x[n-1] Draw the system structure in direct form I, direct form II, parallel and cascade form 2. The comb filter can be expresses as y[n]-x[n]+x[n-a-b] Find the transfer function and zeros, compute the magnitude response of this filter using MATLAB a 7 b-4
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
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
4. A discrete time FIR filter is constructed where the filter output at time n, y[n] is the weighted average of the present (current) and the two previous values of the input signal x[n] such that y[n]=> b x[n- k) where the filter coefficients (bk's) are selected k-0 based on the following constraints: • 0<b«<l, • Zb= 1, k = 0, 1, 2 2b, – 56, +10b, = 3, 36, +4b, +2b, = k=0 a. Determine the filter coefficients bo,...
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using the Z-transform, determine the system's zero-input response for the initial value of y[0] 1/3. The solution directly in the time domain is not accepted
ly-3x=3 6. Graph and solve: ly=-2 / 3 x 4 A N t - 4 - 2 2 4 . I
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...