Z=e^jw
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...
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...
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
12. BO marks Draw the structure of the filter having the following transfer function using direct form I and direct form II x(Z) = 1-42-1 + 62-2 A. 110 marks] Also select one answer in the following: a. This is a non-recursive filter b. This is a second order filter e. IIR filters are always unstable d. This is a inear phase filter e. Stability depends on the values of the zeros TrueFalse TrueFalse TrueFalse False False True True B....
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...
b) Consider a simple difference equation ln)- x(n)+ax(n-D), where n7 is the input, y(n) is the output and D is a delay. Draw a block diagram of this filter and give a physical interpretation. Find its impulse response and transfer function. Calculate the zeros of the transfer function in terms of z Find the corresponding frequency response as well as the minimum and maximum values of the magnitude of the frequency response function. b) Consider a simple difference equation ln)-...
7. For a linear system whose input-output relations is represented as: v n]=x[n]+0.5x[n-l]-0.25x[n-2]·(x r input. y[n] output) We also assume this system is originally at rest, ie. yln] -0 ifnco. (a) Write the transfer function of this systenm (b) Determine the first five samples of its impulse response. (c) Is this system a stable system? (d) Write down the input-output relation the causal inverse system of this system (e) Use Matlab to finds zeros and poles of the transfer function...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...
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]
A digital filter is characterized by the following recursive relation, where x(n) and y(n) are the input and output samples at the nth sampling instant. The sampling frequency is 100 Hz.y(n) = 0.8 y(n-1) – 0.64 y(n-2) + x(n) – x(n-1) + x(n-2) Find the poles and zeros of the discrete time transfer function of the filter. Hencededuce and sketch the magnitude response characteristic of the filter from f =0 to f = infinity. Mark the values at f =0,...