3.)Design a causal FIR high pass filter with an impulse response that has aduration of 11 samples based on an ideal filter that passes principal zone normalizedradial 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]. Brieflyjustify your answer and give values for n=-5, n = 0, and n = 5.-3π-2-T0J2π=c.) Specify a formula for the causal FIR filter, hHP₁[n]. Give values for n-5, n = 0, and n = 5.

we need to answer all three sub parts. FIR filter is a type of digital filter characterized by a…

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

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.

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.

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