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follows (3) Consider the difference equation given as у(п) %3 0.75у(п — 2) + z(п) —...
Solve using MATLAB (1) Consider the difference equation given follows as у(п) — — 0.9у(п -...
Solve using MATLAB
(1) Consider the difference equation given follows as у(п) — — 0.9у(п - 1) — 0.81у(n — 2) + 1.62г(п) + 1.82(п — 1) + 2ar (п — 2), п > 0. Find and plot x(n) and y(n) and hence find the energy of y(n) for the following cases (а) 2(п) — 8(п — 2) (b) 2(п) — и(п) 6(п — 3) _ (с) г(п) — и(п)u(-п + 23) _ (d) x(n)r(n) - r(n - 25), where...
matlab please matlab please (4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)-...
matlab please
matlab please
(4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n 3) 0.1958y(n - 4) +0.207r(n)0.413r(n 2)+0.207a(n - 4) (a) Plot the magnitude and phase responses of the above system. What is the type of this filter? (b) (b) Find and plot the response of the system to the input signal given by /6)sin(w2n +T /4) u(n), where w 0.25m and ws 0.45m a(n) 4cos(win -T = (c) Determine the steady-state output and hence find...
3.21. Given a filter described by the difference equation y[n] = 2x[n] + 3x[n - 1]...
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).
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform...
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform of the output, in terms of X(z), the z-transform of the input. (b) Find the system function H(z). (c) Identify the zeros and poles. Sketch the zero-pole plot. (d) For an input rn]- cos (n), find the output yn] (e) Use the zero-pole plot to explain what you obtain in d)
For a causal LTI discrete-time system described by the difference equation:
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 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....
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)-...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n]...
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
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find...
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find h[n] b. Find Hz), and determine the roots c. Draw the pole-zero plot d. Based on the pole-zero plot, what kind of system is this? low pass, high pass, bandpass, or band reject e. If the signal x1 [n] = (21)" = e'" is the input, substitute this signal in the difference equation and find the output. (This should confirm your answer to d.)...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
Solve using MATLAB
(1) Consider the difference equation given follows as у(п) — — 0.9у(п - 1) — 0.81у(n — 2) + 1.62г(п) + 1.82(п — 1) + 2ar (п — 2), п > 0. Find and plot x(n) and y(n) and hence find the energy of y(n) for the following cases (а) 2(п) — 8(п — 2) (b) 2(п) — и(п) 6(п — 3) _ (с) г(п) — и(п)u(-п + 23) _ (d) x(n)r(n) - r(n - 25), where...
matlab please
matlab please
(4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n 3) 0.1958y(n - 4) +0.207r(n)0.413r(n 2)+0.207a(n - 4) (a) Plot the magnitude and phase responses of the above system. What is the type of this filter? (b) (b) Find and plot the response of the system to the input signal given by /6)sin(w2n +T /4) u(n), where w 0.25m and ws 0.45m a(n) 4cos(win -T = (c) Determine the steady-state output and hence find...
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform of the output, in terms of X(z), the z-transform of the input. (b) Find the system function H(z). (c) Identify the zeros and poles. Sketch the zero-pole plot. (d) For an input rn]- cos (n), find the output yn] (e) Use the zero-pole plot to explain what you obtain in d)
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)-...
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find h[n] b. Find Hz), and determine the roots c. Draw the pole-zero plot d. Based on the pole-zero plot, what kind of system is this? low pass, high pass, bandpass, or band reject e. If the signal x1 [n] = (21)" = e'" is the input, substitute this signal in the difference equation and find the output. (This should confirm your answer to d.)...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
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