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.
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For a causal LTI discrete-time system described by the difference equation:
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1) A causal discrete-time system is described by the difference equation, y(n) = x(n)+3x(n-1)+ 2x(n-4) a)...
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A causal discrete-time system is described by the following difference equation: Use Matlab to write a script to complete the following tasks. Turn in the output created by the Matlab "publish" utility. (a) Compute and plot the impulse response h[n], 0くn 〈 50. Use the function h=imp2(b, a , N ) to find the impulse response, and use the stem ) function to create the plot. (b) Let x[n] be defined by (n - 15)2 0n K 30 x[n] elsewhere...
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Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
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