use URN= 7 Determine the order and system transfer functions of discrete Butterworth filter thatsatisfies following criteria:Passband cutoff frequency w,Stopband cutoff frequency wsPassband ripple -3dB < |H(el")I< OdB,Stopband attenuation H(el") > x dB,lwl < wpFor the values of w,p, W, and x, use the values given in the following table, based onthe second rightmost digit of your student number (URN):Second rightmostdigit of studentnumber (URN)Wp0.15 n0.31 n17.516.510.16 n0.32 n0.17 n0.18 n0.33 n140.34 n1540.19 n0.350.41 n1650.155 n226.0.165 n0.42 n2270.175 n0.43 n238.0.185 n0.44 n209.0.195 n0.45 n21Example: if your student number (URN) is “6789012" the second rightmost digit is “1",so you will use: wp = 0.16 7, w, = 0.32 , x = 16.5.Note:The following table illustrates normalised factorised denominator polynomialsfor different orders n of Butterworth filters.Factors of Polynomial(s + 1)(s? + 1.4142s +1)(s+ 1) (s² + s + 1)(s2 + 0.7654s + 1)(s? + 1.8478s + 1)14al

For the given tabular columns W p = 0.175π W s= 0.43π A p = -3dB A s = -23 dB Order of the filter…

Determine the order and system transfer functions of discrete Butterworth filter that satisfies following criteria: Passband cutoff frequency w, Stopband cutoff frequency ws Passband ripple -3dB < |H(el®)[< 0dB, Stopband attenuation H(el") > x dB,

Determine the order and system transfer functions of discrete Butterworth filter that satisfies following criteria: Passband cutoff frequency w, Stopband cutoff frequency ws Passband ripple -3dB < |H(el®)[< 0dB, Stopband attenuation H(el") > x dB,

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...

See similar textbooks

Related questions

Q: 3. Design the Sallen-Key high-pass filter to implement an equal value second order Butterworth…

Q: Tools Some practice ques. UNIVERSITY OF UL. X 313 180% fep = 30 0 HE 8) Before the digitisation…

Q: Determining theOrder of a Butterworth Filter1. Determine the order of a Butterworth filter that has…

A: 1- From the given data the order of the Butterworth filter is determined as shown below: The order…

Q: Determine the order and system transfer functions of discrete Butterworth filter that satisfies…

A: For the given specifications w p = 0.175π w s = 0.43π A p = -3dB A s= 23dB order and transfer…

Q: Design a Butterworth filter with at least -60dB attenuation at ohm=3000pi rad/s and -4dB attenuation…

A: We are given that: Pass band frequency (ωp) = 1000π radsec; Pass band gain (Ap) = -4 dB =…

Q: Q1- Design a 3 tap FIR band-stop filter with Stopband cut-off frequency fc1=3KHz, fc2=5.5KHz and…

A: Write the given values. Nf=14N=Nf+1=15fc1=3 kHzfc2=5.5 kHzfs=20 kHz

Q: Derive the prototype transfer function for a sixth-order high-passButterworth filter by first…

A: Transfer function of a six order low pass Butterworth filter is

Q: For each blank in the following statements, choose a proper word from the box. For a transfer…

A: An linear property of a filter is where the phase response of the filter is a linear function of the…

Q: Design the equivalent digital filter for the following analogue filter below. R Vout Vin Given the…

Q: (c) Design a Butterworth equal component high-pass active filter with f-3dB at 1kHz and at 10Hz,…

Q: Design the equivalent digital filter for the following analogue filter below. R Vout Vin Given the…

A: First we will find out transfer function then we will find out digital filter for given filter .

Q: Q2 ) a ) Design a broadband parallel bandreject filter with a lower cutoff frequency of 1000 rad / s…

A: Note: As per the guidelines will be solving only 1st question. Please repost for others.

Q: For R1=3k, C=0.1uF, and R2=12k, what is the type, passband gain and corner frequency of this filter?…

A: Filters are the device used to obtain the desired part of the signal or remove the unwanted part of…

Q: Q.3. Design a Chebyshev analog low-pass filter with maximum passband attenuation of 2 dB at passband…

Q: Given an analog signal x(t) = 4 Cos( 4n 2000t) + Cos(47 2500t) + 3Cos( 2n 3000t) + Cos( 2π6000t) And…

A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

Q: What is a filter? Why it is necessary? Explain with circuit diagram.

A: The filter circuit is used in the rectifier electronic devices. The filter is connected to the…

Q: A white noise process of PSD No/2 is transmitted through the bandpass filter H(f) shown below.…

Q: Design a fourth-order Butterworth low-pass filter with a cutoff frequency of500 Hz and a passband…

A: Butterworth filter of order 4 is designed to achieve approximate ideal low pass filter. It has…

Q: 2) If x(t) : = cos (250nt) is sampled with a sampling period of T=1/200 a) Plot draft x(t) and s(t)…

Q: rmine the attenuation of a fifth order Chebyshev filter at w, = 2w, provided by a erworth filter of…

Q: For LTI system shown below 2 N:) 8 == \delta in your answer The transfer function H(z) is Choose...…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: 1. When a low-pass filter is used, what sideband is being filtered? the lower or the upper sideband?…

A: 1) Low pass filter is used when we want to remove the higher frequencies. So if we use Low pass…

Q: A first-order PLL is characterized by a loop filter with transfer function f(t) = 8(t) Select one: O…

A: It is False that a first order PLL is characterized by a loop filter with transfer function f(t) =…

Q: Design a simple digital IIR band pass filter whose passband is specified as [ 7 /2, 1 ]. Note: use…

Q: . Derive the transfer characteristics of the circuit shown below and prove that it is a band pass…

A: The voltage at the inverting terminal is determined by using the voltage divider rule,

Q: b) Given a transfer function of a filter as follows, 20(s + 1) H(s) =- s2 + 210s + 2000…

A: Since you have asked multiple questions so we will solve the 2nd question for you. If you want any…

Q: Design a 5th order active low pass Butterworth filter having cutoff frequency and pass band gain of…

A: When the pass-band gain is given as 40 dB that is equal to a gain of 100. The value of epsilon is…

Q: Q1) Transfer function of an analog filter is give in the following 1 H (s) s+1 Transform or convert…

A: Given data: Transfer function of an analog filter is given by, H(s)=1s+1fs=12π Hzω,=2T tan ωT2

Q: It is required to design a low-pass filter having f, = 1 kHz, Amax =1 dB, f, = 1.5 kHz, Amin = 50…

Q: Given certain specifications to design a Butterworth filter using Bilinear transformation, if the…

A: in bi linear transformation we can calculate stable poles as follows PK=±ΩCej(N+2K+1)π2Nwhere…

Q: H.W2: a) Using 0.1 µF capacitors, design an active broadband first-order bandpass filter that has a…

Q: Consider the 1st order analog low-pass filter: G(s) = 2/(s+ 2), which we want to nplant as a digital…

Q: For the same IIR filter type and specifications: ) if we reduce the transition band (obtain a…

A: i. The order of the filter is inversely proportional to the transition band the reason behind is…

Q: a) Drow the Ideal Low-pass filter, Ideal high-pass filter and Ideal band - pass filter graphs of a…

Q: 7.Design a discrete-time bandpass filter with cutoff frequencies p/4 & 3p/4 using: a. A 5-point…

A: Firstly we have to know about what is discrete time : A discrete-time filter is a discrete-time…

Q: Design Digital bandpass Butterworth filter with the following sp pper cut-off at 25 kHz and 35 kHz…

A: Given, for passband Upper cutoff frequency (fU)= 35kHz. Lower cutoff frequency (fL)= 25kHz. Gain or…

Q: b) Detemine the order and the poles of a type I low pass chebyshev filter that has a 2-dB ripple in…

A: Note: We are authorized to answer one question at a time since you have not mentioned which question…

Q: Using bilinear transformation, calculate the order of a digital low-pass Butterworth filter with a…

A: Given a digital low pass Butter-worth filter with parameters, ωp=0.25παp=3 dB ωs=0.5παs=30 dB

Q: 2. If x(t) = cos(100nt) is sampled with a sampling period of T=1/1000 a) Plot draft x(t) and s(t)…

A: Given a signal x(t)=cos(100πt) is sampled with a sampling period of T=1/1000. a) We need to plot…

Q: Design a high pass filter with a cut of frequency of K1 and a passband gain of K2. Take K1 equal to…

A: An Active High Pass Filter is a combining of passive RC filter network with an operational…

Q: B) A telephone line carries both voice band (0-4 kHz) and data band (2.5/kHz to 1 MHz). Design a…

A: The Given is a telephone line carries both voice band 0-4kHz and data band 2.5kHz to 1MHz

Q: Question 2. (a) Design a high pass filter with a cut of frequency of K1 and a passband gain of K.…

A: An Active High Pass Filter is a combination of passive RC filter networks with an operational…

Q: Q2) Design a digital High pass filter to satisfy the following analogue specifications using a…

A: A digital high pass filter to satisfy the following analogue specifications a Chebyshev prototype.…

Q: Design the equivalent digital filter for the following analogue filter below. R Vin Vout Given the…

Q: Gf Consider the Circuit of Jow pass filter ?

A: The filter circuits in electronics are needed to clear the unwanted irregularities from a signal.…

Q: 2- Design a three-section band-stop lumped-element filter with a 0.5 dB equal-ripple response, a…

Q: Determine the value of ripple factor e, number of order n and cutoff frequency o, if you are…

A: Given: We need to design a Chebyshev filter with the following specifications: ωp=60 rad/s, ωs=200…

Concept explainers

Types of Charge Carriers

A carrier is a type of object which carries a particular thing from one point to another point. For instance, people use different vehicles from one place to another, and the vehicle carries those people and acts as a carrier.

Question

use URN= 7

Determine the order and system transfer functions of discrete Butterworth filter that
satisfies following criteria:
Passband cutoff frequency w,
Stopband cutoff frequency ws
Passband ripple -3dB < |H(el")I< OdB,
Stopband attenuation H(el") > x dB,
lwl < wp
For the values of w,p, W, and x, use the values given in the following table, based on
the second rightmost digit of your student number (URN):
Second rightmost
digit of student
number (URN)
Wp
0.15 n
0.31 n
17.5
16.5
1
0.16 n
0.32 n
0.17 n
0.18 n
0.33 n
14
0.34 n
15
4
0.19 n
0.35
0.41 n
16
5
0.155 n
22
6.
0.165 n
0.42 n
22
7
0.175 n
0.43 n
23
8.
0.185 n
0.44 n
20
9.
0.195 n
0.45 n
21
Example: if your student number (URN) is “6789012" the second rightmost digit is “1",
so you will use: wp = 0.16 7, w, = 0.32 , x = 16.5.
Note:
The following table illustrates normalised factorised denominator polynomials
for different orders n of Butterworth filters.
Factors of Polynomial
(s + 1)
(s? + 1.4142s +1)
(s+ 1) (s² + s + 1)
(s2 + 0.7654s + 1)(s? + 1.8478s + 1)
1
4
al

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Semiconductor Material and Its Energy Band Analysis

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Q)Design a Discrete Time Low Pass Filter for a signal. Butterworth Filter. Chebeyshev Filter The specifications are:(Voice Signal) 1) Passband Fp=4 kHz, with 0.2 dB ripple; Stopband FS 4.5 kHz, with 45 dB ripple. Sampling Frequency Fs = 22 kHz. (Use For Both Filters). 2) passband ripple = 0.2 stopband ripple-45 passband frequency- 1300 stopband frequency = 1500 sampling frequency = 10000. (Chebeyshev Filter) 3) Passband ripple = 0.5 stopband ripple = 50 passband frequency = 1200 stopband frequency = 2400 Sampling Frequency= 10000. (Butterworth filter)."
He (e tw) -27 27 The frequency-omplitude graph of discrete time low pass filter is given above. Based on this graph, find the time domain equivalent of a high-pass fiter in the time doman by inverse fourter transformartion.
For the filter: a) Determine type of filter and the cut-off frequency (Fc). Determine the peak voltage at the cut-off frequency (Fc). b) Find GAIN (Vo/Vi) at f = .1*Fc . Find GAIN (Vo/Vi) at f = 10*Fc . c) Determine the frequency at which GAIN = .4 (i.e., Vo = .4*Vi) . Draw the “Frequency Response Plot” in “Log-Log” format .
a)Draw a general graph showing its gain verses frequency with gain in dB vs log of frequency and indicate the cut-off Frequency. b) Draw a simple, single resistor, single capacitor high pass filter. What is the formula for the cut-off frequency for this filter? c) Draw a graph of its gain verses frequency and label its cut-off frequency.
An ideal bandpass filter has cutoff frequencies of 9 and 11 kHz and a gain magnitude of two in the passband. Sketch the transfer-function magnitude to scale versus frequency. Repeat for an ideal band-reject filter.
filter specification a. What kind of filter is this? b. What is the transition band of the filter is given as ₂ = 0.4, , = 0.5, ₁ = 0.01, &₂ = 0.00001, c. Draw the absolute specification d. What is the specification in relative? e. Draw the relative specification. f. If the filter is applied on a signal sampled at 100 kHz, what are the frequency edges in Hz?
5. Why we use semiology paper to draw the frequency response of filters. 6. What is filter order, and what is the effect of changing filter order on the filter response and complexity of filter. 7 Sketch the frequency response of low-pass, band-pass, high-pass, and band-reject filters.
Q)Design a Discrete Time Low Pass Filter for a signal. Butterworth Filter. Chebeyshev Filter The specifications are:(Voice Signal) 1) Passband Fp = 4 kHz, with 0.2 dB ripple; Stopband FS 4.5 kHz, with 45 dB ripple. Sampling Frequency Fs = 22 kHz. (Use For Both Filters). 2) passband ripple - 0.2 stopband ripple 45 passband frequency 1300 stopband frequency = 1500. sampling frequency=10000. (Chebeyshev Filter) 3) Passband ripple=0.5 stopband ripple 50 passband frequency 1200. stopband frequency = 2400 Sampling Frequency= 10000. (Butterworth filter)." 4)Choose your own Specifications
Consider two types of digital filters: Butterworth and Elliptic. (c) Comment on the difference between your two designed filters (incl. comparison of filter order, transition band, ripple and phase response).
Design a high pass filter with a cut of frequency of K1 and a passband gain of K2. Take K1 equal to 27 in kHz and K2 is the 7 (b) Plot the Bode plot of the frequency response of the designed circuit using a python script and validate your answer. (c) How would you increase the passband gain by a factor of five without changing the cutoff frequency?
You need an active lowpass filter that has a cutoff frequency of 500 Hz. If the stopband is defined as being -20dB from the passband, and you need this value to be reached at 600 Hz, please show three different filter options, and comment on their frequency and time domain characteristics. ..
Design a single pole low pass filter with a gain of 10 in the passband and a 3dB frequency of 5kHz. The minimum resistance in the passband for this filter is to be of 10k-ohms. What is the value of C in nF and in two decimal places only.?