4. (a) IIR filters offer the possibility to achieve magnitude response specifications with asmaller number of coefficients than required for FIR filters. Despite this, designersoften prefer to use FIR filters. Explain one reason why they have this preference.(b) You have designed Butterworth, Chebyshev, and Elliptic IIR filters so that themagnitude response satisfies 0.98 < |H(w)| < 1.02 for 0 < w < 0.2n and satisfiesH(w) < 0.01 for 0.257 < w < T. With Nhutter; Ncheby, and Nellip denotingthe transfer function orders of the Butterworth, Chebyshev, and Elliptic filters,respectively, which of the following relationships is expected to hold among them?Nputter < Ncheby < NellipNhutter < Nellip <NehebyNcheby < Nhutter < NellipNcheby < Netlip < NbutterNellip < Nbutter < NchebyNellip < Ncheby < Nbutter(c) You are designing an analog IIR filter that you will convert using the bilineartransformation to a digital filter. Your digital filter will have a sampling rate of5000 Hz, and you want its passband edge to be at the digital equivalent of 1500Hz. What passband edge should you use for the analog filter design?

IIR filter- Infinite Impulse Response filter is called as recursive filter. In this filter the…

4. (a) IIR filters offer the possibility to achieve magnitude response specifications with a smaller number of coefficients than required for FIR filters. Despite this, designers often prefer to use FIR filters. Explain one reason why they have this preference. (b) You have designed Butterworth, Chebyshev, and Elliptic IIR filters so that the magnitude response satisfies 0.98 < |H(w)] < 1.02 for 0

4. (a) IIR filters offer the possibility to achieve magnitude response specifications with a smaller number of coefficients than required for FIR filters. Despite this, designers often prefer to use FIR filters. Explain one reason why they have this preference. (b) You have designed Butterworth, Chebyshev, and Elliptic IIR filters so that the magnitude response satisfies 0.98 < |H(w)] < 1.02 for 0

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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Ex. 590. Refer to Figure 590. R1=7 Ohms R2=1/3 Ohms and C=7 Fd. Find the transfer function V2(s)/V1(s) = A/(s^2+Bs+D). Answers: A,B,D. Active Low-Pass Butterworth Filter C C R1 + R1 v1 (t) v2 (t) R1 R2 Figure 590
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The response of a Butterworth filter is required to fulfill the following specifications: f_{p} = 1000Hz fs = 5000 Hz, A_{p} = 2dB A_{s} = 40dB Determine the following (i) Minimum filter order required to satisfy these specifications (ii) The 3dB corner frequency for this filter (iii) The transfer function of the filter H(s) b. Synthesize the filter described in part (a) above by continued fraction expansion to give a lossless ladder network terminated at both ends with 600 resistor. Draw the circuit.
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You wish to design a low pass filter using the bilinear transformation method. Your prototype normalized low pass filter's analog transfer function is given below: 1 3.98s3 +2.38s2 +3.7s +1 The cut-off frequency should be f. = 50 Hz while using a sampling frequency of F, = 2 kHz. Find: Design a digital filter that meets the above requirements. Determine H(z) for the filter. Plot the filter's magnitude and phase response. Determine the implementation equation for y[n]. Finally, assume the below signal is sampled at the given sampling frequency and is input into the digital filter. x(t) = cos(2710t) + cos(2750t)+ cos(27500t)
4. (a) IIR filters offer the possibility to achieve magnitude response specifications with a smaller number of coefficients than required for FIR filters. Despite this, designers often prefer to use FIR filters. Explain one reason why they have this preference. (b) You have designed Butterworth, Chebyshev, and Elliptic IIR filters so that the magnitude response satisfies 0.98 < |H(w)| < 1.02 for 0 < w < 0.2n and satisfies H(w) < 0.01 for 0.257 < w < T. With Nhutter, Neheby, and Netlip denoting the transfer function orders of the Butterworth, Chebyshev, and Elliptic filters, respectively, which of the following relationships is expected to hold among them? Nhutter < Neheby < Nettip Nbutter < Nellip < Ncheby Neheby < Niutter < Nellip Ncheby < Neltip < Nhutter Nellip < Nhutter S Ncheby Nellip < Ncheby< Noutter (c) You are designing an analog IIR filter that you will convert using the bilinear transformation to a digital filter. Your digital filter will have a sampling rate of 5000 Hz, and…
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Control Systems > Controllers and Compensators Question A phase lead compensating network ha its transfer function Ge(s) maximum phase lead occurs at a frequency of 10(1+0.04s) (1+0.01s) .The