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.
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.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028a22e8-f094-478d-95cf-e0334af4f4a7%2F95486003-273d-4a80-adce-2b72a637f848%2Flyi2i5_processed.jpeg&w=3840&q=75)
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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