Question 1: A filter is described by the difference equation y(n) = y(n-1)+3x(n) - 4x(n-4). (a)...
3.21. Given a filter described by the difference equation y[n] = 2x[n] + 3x[n - 1] + 2x[n - 2] where x[n] is the input signal and y[n] is the output signal. (a) Find and plot h[n] the impulse response of the filter. (b) find and plot H(Ω).
1) A causal discrete-time system is described by the difference equation, y(n) = x(n)+3x(n-1)+ 2x(n-4) a) What is the transfer function of the system? b) Sketch the impulse response of the system
y[n] = x[n] - 3x[n - 1] + 4x[n - 2] What is the transfer function H(z) of the filter, plot the pole zero plot. Design a filter, plot the amplitude of filter response.
Question 1 The difference equation of a causal filter is: y[n] = x[n] – 2x[n – 1] + 3x[n – 5] The filter is an IR filter. True False
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
For the system described by Difference equation model vin] 5x[n]- 4x[n-1]+3x[n-2]-2x[n -3] + x[n -4] Find the system output to input x[n]-2r[n]- 4r[n-2]+2r[n -4] O vin]= x[n]=[0 4 2 0] 2 8-5 4 o vin]=[0 5 6 10 12 -10 O 00 10 8 6 4 21 o vin]=[0 10 12 0 0002 For the system described by Difference equation model vin] 5x[n]- 4x[n-1]+3x[n-2]-2x[n -3] + x[n -4] Find the system output to input x[n]-2r[n]- 4r[n-2]+2r[n -4] O vin]= x[n]=[0...
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)-...
3. A digital filter is described by the difference equation where u[n] represents the unit step sequence. The initial conditions of the system are y[-1] = 0 and y[-2] = 1. (a) Draw a block diagram implementation of the above system. (b) Determine the output y[n] (c) Determine the zero-input solution. (d) Determine the zero-state solution. (e) Is the system stable? Justify your answer
Please show work. An FIR filter is described by the difference equation: (a) Find its impulse response h[n] and plot versus n. 1 n 0,2,4 0 elsewhere (b) Find the output when the input signal is n]-
Please solve the whole question. An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs 310 10 2π π x (n) = 5 + 6 cos-n + 2, An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs...