3.) Design a causal FIR high pass filter with an impulse response that has a duration of 11 samples based on an ideal filter that passes principal zone normalized radial frequencies in the range of || >3π/8: a.) Sketch the transfer function, HHP(e), of the ideal filter in the range -3π ≤ 37 in the graph below: -3r -2 -T 0 JU 2л 3л @ b.) Specify a formula for the impulse response of the ideal filter, hIHP[n]. Briefly justify your answer and give values for n = -5, n = 0, and n = 5. c.) Specify a formula for the causal FIR filter, hHP1[n]. Give values for n = -5, n = 0, and n = 5.

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Publisher:Robert L. Boylestad
Chapter1: Introduction
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3.)
Design a causal FIR high pass filter with an impulse response that has a
duration of 11 samples based on an ideal filter that passes principal zone normalized
radial frequencies in the range of || > 3/8:
a.) Sketch the transfer function, HHP(e), of the ideal filter in the range -3″ ≤
37 in the graph below:
3л @
b.) Specify a formula for the impulse response of the ideal filter, hIHP[n]. Briefly
justify your answer and give values for n=-5, n = 0, and n = 5.
-3π
-2
-T
0
J
2π
=
c.) Specify a formula for the causal FIR filter, hHP₁[n]. Give values for n
-5, n = 0, and n = 5.
Transcribed Image Text:3.) Design a causal FIR high pass filter with an impulse response that has a duration of 11 samples based on an ideal filter that passes principal zone normalized radial frequencies in the range of || > 3/8: a.) Sketch the transfer function, HHP(e), of the ideal filter in the range -3″ ≤ 37 in the graph below: 3л @ b.) Specify a formula for the impulse response of the ideal filter, hIHP[n]. Briefly justify your answer and give values for n=-5, n = 0, and n = 5. -3π -2 -T 0 J 2π = c.) Specify a formula for the causal FIR filter, hHP₁[n]. Give values for n -5, n = 0, and n = 5.
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