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, Neheby, and Netlip denotingthe transfer function orders of the Butterworth, Chebyshev, and Elliptic filters,respectively, which of the following relationships is expected to hold among them?Nhutter < Neheby < NettipNbutter < Nellip < NchebyNeheby < Niutter < NellipNcheby < Neltip < NhutterNellip < Nhutter S NchebyNellip < Ncheby< Noutter(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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a. Suppose a first order high pass filter has a cut-off frequency of 10 kHz and a capacitor of 2.5 nF. What is the value of the resistor? b. For the filter in (a), what is the gain of the filter at 100 Hz? Express you answer in decibels. (Hint: this requires hardly any calculation.)
Figure shows two 3rd-order Butterworth low-pass filter. Do these twofilters have the same frequency response? Justify your answer.
1. What are “FIR filters? 2. What does “FIR” mean? 3. Why is the impulse response “finite?” 4. What is the alternative to FIR filters? 5. How do FIR filters compare to IIR filters? 6. What are the advantages of FIR Filters (compared to IIR filters)? 7. What are the disadvantages of FIR Filters (compared to IIR filters)? 8. What terms are used in describing FIR filters? 9. What are IIR filters? 10. What does “IIR” mean? 11. Why is the impulse response “infinite?” 12. What is the alternative to IIR filters? 13. What are the advantages of IIR filters (compared to FIR filters)? 14. What are the disadvantages of IIR filters (compared to FIR filters)? 15. How does digital filters remove noise?
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.
The following transfer functions represent digital filter meeting identical amplitude-frequency response specifications: H(z)= 5+0.6z-1/1+2.5z-1+3z-1+4z-2 For filter,a) State if it is an FIR or IIR filter.b) Represent the filtering operation in a block diagram form and write down the difference equation.c) Determine and comment on the computational and storage requirements.
Question 4 Consider the following RL filter: L1 V1 ac 1 out .ac dec 10 1 100000 R1 6.28k Find the cut-off or cut-in frequency. What kind of filter is this circuit? Low-pass? High-pass. Describe the frequency response in terms of gain before or after the cut-off or cut-in frequency and how steeply the frequency response curves goes down or up after or before the cut-off or cut-in frequency. Express the "steepness" in dB/decade. You may use LTspice to find these values.
1. In an application it is required to attenuate 0.5MHZ noise by 97%. Assume that the data is coming at much lower frequency than 0.5MHZ. Also assume that there is no need to amplify the filtered output signal.What kind of filter you would design in this application?a. Passive high pass filterb. Passive low pass filterc. Active low pass filterd. Active high pass filterQUESTION 21. In Question # 1, what is cut off frequency value you would choose to design the filter?a. 10KHZb. 15KHZc. 5KHZd. 100KHZQUESTION 31. In question # 1, what would be the filter gain (magnitude) for an input signal of 400HZ?a. 0.09b. 0.707c. 0.99d. 0QUESTION 41. In Question # 1, in designing the filer if you choose the capacitor value as 47pF, what resistor value you must use?a. 225Kb. 120Kc. 450Kd. 200
4. A simple band-pass filter can be designed by cascading one-pole high-pass and one-pole low-pass filters. Using op- amp circuits similar to the one shown below, design band-pass filter with cutoff frequencies of 200Hz and 50 kHz and with a midband gain of 10dB. Resistor values must be no larger than 200k, but the input resistance must be as large as possible. Vic C oV₂ V₁ www OV
Complete the following expressions so that they are true. • The function of a filter is to pass signal components in [ Select] and reject components in [Select] ● range ● A typical application of a filter is to [Select] î a range. signal. signal of interest. Along with filtering a signal, an active filter is one that can be used to [Select] a
The Pole-Zero Plot of filters H1(z) and H2(z) is shown below. The pole-zero pattern indicates that H1(z) is NOT an inverse filter of H2(z) HID) A True False X 1200
Design a 2nd order band reject filter having high cutoff frequency of 100HZ and low cut-off frequency IkHz respectively. Plot the frequency response of this filter. Report band pass gain for the filter.
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; Ncheby, and Nellip denoting the transfer function orders of the Butterworth, Chebyshev, and Elliptic filters, respectively, which of the following relationships is expected to hold among them? Nputter < Ncheby < Nellip Nhutter < Nellip < Neheby Ncheby < Nhutter < Nellip Ncheby < Netlip < Nbutter Nellip < Nbutter < Ncheby Nellip < Ncheby < Nbutter (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,…