Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Question
Chapter 15, Problem 61E
(a)
To determine
Design a second-order low-pass filter based on Butterworth polynomials having a voltage gain of
(b)
To determine
Design a second-order low-pass filter based on Chebyshev polynomials for a
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A high-pass filter is to be designed for speech signal processing. The cutoff frequency is 3.4kHz and the gain to be 10.0 in the passband. At 340Hz, the gain is desired to be less than or equal to 0.1% of the gain at 3.4kHz. Please use Sallen-Key type of filters for this design and draw the complete circuit schematic and indicate the resistance and capacitance values.
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)."
) With respect to an analog Butterworth filter, explain the following terms
a.
filter response
b.
filter design parameters
ii) An analog Butterworth filter has 2dB passband attenuation at a frequency qf
10 rad/sec and 30DB stopband attenuation at 30 rad/sec. Compute the order of the
system.
Chapter 15 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 15.1 - Write an expression for the transfer function of...Ch. 15.2 - Calculate HdB at = 146 rad/s if H(s) equals (a)...Ch. 15.2 - Prob. 3PCh. 15.2 - Draw the Bode phase plot for the transfer function...Ch. 15.2 - Construct a Bode magnitude plot for H(s) equal to...Ch. 15.2 - Draw the Bode phase plot for H(s) equal to (a)...Ch. 15.2 - Prob. 7PCh. 15.3 - A parallel resonant circuit is composed of the...Ch. 15.3 - Prob. 9PCh. 15.4 - A marginally high-Q parallel resonant circuit has...
Ch. 15.5 - A series resonant circuit has a bandwidth of 100...Ch. 15.6 - Referring to the circuit of Fig. 15.25a, let R1 =...Ch. 15.6 - Prob. 13PCh. 15.6 - Prob. 14PCh. 15.6 - The series combination of 10 and 10 nF is in...Ch. 15.7 - A parallel resonant circuit is defined by C = 0.01...Ch. 15.8 - Design a high-pass filter with a cutoff frequency...Ch. 15.8 - Design a bandpass filter with a low-frequency...Ch. 15.8 - Design a low-pass filter circuit with a gain of 30...Ch. 15 - For the RL circuit in Fig. 15.52, (a) determine...Ch. 15 - For the RL circuit in Fig. 15.52, switch the...Ch. 15 - Examine the series RLC circuit in Fig. 15.53, with...Ch. 15 - For the circuit in Fig. 15.54, (a) derive an...Ch. 15 - For the circuit in Fig. 15.55, (a) derive an...Ch. 15 - For the circuit in Fig. 15.56, (a) determine the...Ch. 15 - For the circuit in Fig. 15.57, (a) determine the...Ch. 15 - Sketch the Bode magnitude and phase plots for the...Ch. 15 - Use the Bode approach to sketch the magnitude of...Ch. 15 - If a particular network is described by transfer...Ch. 15 - Use MATLAB to plot the magnitude and phase Bode...Ch. 15 - Determine the Bode magnitude plot for the...Ch. 15 - Determine the Bode magnitude and phase plot for...Ch. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - For the circuit of Fig. 15.56, construct a...Ch. 15 - Construct a magnitude and phase Bode plot for the...Ch. 15 - For the circuit in Fig. 15.54, use LTspice to...Ch. 15 - For the circuit in Fig. 15.55, use LTspice to...Ch. 15 - Prob. 21ECh. 15 - A certain parallel RLC circuit is built using...Ch. 15 - A parallel RLC network is constructed using R = 5...Ch. 15 - Prob. 24ECh. 15 - Delete the 2 resistor in the network of Fig....Ch. 15 - Delete the 1 resistor in the network of Fig....Ch. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - A parallel RLC network is constructed with a 200 H...Ch. 15 - Prob. 32ECh. 15 - A parallel RLC circuit is constructed such that it...Ch. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - An RLC circuit is constructed using R = 5 , L = 20...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - For the network of Fig. 15.25a, R1 = 100 , R2 =...Ch. 15 - Assuming an operating frequency of 200 rad/s, find...Ch. 15 - Prob. 41ECh. 15 - Prob. 42ECh. 15 - For the circuit shown in Fig. 15.64, the voltage...Ch. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - The filter shown in Fig. 15.66a has the response...Ch. 15 - Prob. 48ECh. 15 - Examine the filter for the circuit in Fig. 15.68....Ch. 15 - Examine the filter for the circuit in Fig. 15.69....Ch. 15 - (a)Design a high-pass filter with a corner...Ch. 15 - (a) Design a low-pass filter with a break...Ch. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Design a low-pass filter characterized by a...Ch. 15 - Prob. 56ECh. 15 - The circuit in Fig. 15.70 is known as a notch...Ch. 15 - (a) Design a two-stage op amp filter circuit with...Ch. 15 - Design a circuit which removes the entire audio...Ch. 15 - Prob. 61ECh. 15 - If a high-pass filter is required having gain of 6...Ch. 15 - (a) Design a second-order high-pass Butterworth...Ch. 15 - Design a fourth-order high-pass Butterworth filter...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - A piezoelectric sensor has an equivalent circuit...Ch. 15 - Design a parallel resonant circuit for an AM radio...Ch. 15 - The network of Fig. 15.72 was implemented as a...Ch. 15 - Determine the effect of component tolerance on the...
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Similar questions
- 2. A low-pass filter is to have a cutoff frequency of 10 kHz and is to have a gain at 20 kHz, which is reduced by at least 25 dB from its maximum value. Find the minimum number of poles required for a Butterworth filter.arrow_forwardSuppose we have a first-order lowpass filter that is operating in sinusoidal steady-state conditions at a frequency of 5 kHz. Using an oscilloscope, we observe that the positive-going zero crossing of the output is delayed by compared with that of the input. Determine the break frequency of the filter.arrow_forwarda)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.arrow_forward
- Describe the possibility of building a second order filter with only resistors and capacitors? and design the cutoff frequency of second order filter for low pass filter. (Expected: Describe the possibility, design the second order filter for low pass filter circuit and design the cutoff frequency as equation only).arrow_forwardDerive the transfer function of a High pass and low pass RC filter.arrow_forwardConsider an anti-aliasing filter design using the Butterworth filter. The anti-aliasing filter feeds a DSP processor that has an Analog to Digital Converter (ADC) that can be configured to 8 bits or 10 bits. The sampling frequency of the ADC can be varied from 8kHz to 48kHz. You are using your Anti-aliasing filter + ADC pair to capture an analog measurement of a periodic signal with a maximum signal bandwidth of 3.4kHz. You decide to use the 8-bit ADC resolution at the lowest sampling frequency of 8kHz ( afterall the lowest sample freq of 8kHz satisfies the Nyquist criteria and you really are all about doing just the right amount of work!). What order must your Butterworth filter be? You relent and decide to use the max sampling rate of 48kHz. How does that decision change the filter order requirement of your Butterworth anti-aliasing filter? You decide that you want better resolution so you increase the ADC resolution from 8bit to 10bits. You also decide to keep the max sampling…arrow_forward
- Explain what we mean when we say that two filters are cascaded.arrow_forwardQ.2:- a) Explain what a band-pass filter is, and how it differs from either a low-pass or a high-pass filter circuit. Also, explain what a hand-stop filter is, and draw Bode plots representative of both band-pass and band-stop filter types. b) What is the purpose (ll) of the parity bit during data transmission?arrow_forwardDESIGNPROBLEM_1. Using the circuit, design a low-pass filter with apassband gain of 5 dB and a cutoff frequency of 10 kHz. Assume a50 nF capacitor is available.2. Draw the circuit diagram and label all components.arrow_forward
- c) An ideal filter has exactly flat passbands with constant gain, exactly flat stopbands with zero gain, and zero-width transition bands. Sketch an example of such an ideal filter and explain why the ideal filter cannot be realised practically.arrow_forwardA low pass filter has an input of 12 V, 1000 Hz signal. The filter is consists of a 1500 Ohms resistor and 0.15 micro Farad capacitor. To assess the performance of filter, determine the following: (iv) Suggest the changes in filter design, if the input signal required to being more and more attenuated. "arrow_forwardDraw frequency response curve of a bandpass filter whose end frequencies are 0.1 MHz and 0.4 MHz respectively. Consider peak amplitude as 1. Use your own scale and necessary values.arrow_forward
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