Please show all steps clearly, than 17.42 The input voltage to the high-pass RC filter circuitin Fig. P17.42 isvi(t) = Ae¯au(t).Let a denote the corner frequency of the filter, thatis, a = 1/RC.a) What percentage of the energy in the signal atthe output of the filter is associated with the fre-quency band 0|w| ≤ a if a = a?b) Repeat (a), given that a=√3a.c) Repeat (a), given that a = a/√√3.Figure P17.42HECR

Answered: 17.42 The input voltage to the…

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 signal x(t) with the highest frequency 80,000Hz is going to be sampled at a rate of 88,000 samples/second. To avoid aliasing, the signal x(t) is filtered prior to sampling through an ideal low pass filter with the frquency response H(f) = 1 for F <= f else H(f) = 0. What is the largest frequency F that will prevent aliasing in the sampled signal?
ACT signal x(t) is applied to an anti-aliasing LPF than sampled and finally reconstructed by another ideal filter as shown below. What would be the Fourier transform of the output signal £(t) actane deal L deal sampler Recenstructing deal LF A) B) D) O E) None of the above
7. The mumber of capacitors in a filter determines the: a) The gain b) The bandwidth e) The critical froqueney d) The roll-off rate of the frequency response. & When the gain of the fiter is maximum at the center frequeney, this filter is: a) BPF b) BSF e) HPF d) LPF 9. The passband gain of practical passive RC filters is normally: a) O dB b) 10 dB c) More than 0 dB d) Tess than 0 dR 10. The envelope of the tränsmitted AM signal is produced hy the peaks of the a) Modulating signal b) Modulated signal «) The intermediate frequency d) The detector 11. If the carrier froqueney reccived by AM recciver is 1.2 MIiz, the local oscillator should be set on one of the following frequencies: a) 1.2 Milz b) 455 kllz e) 24 Milz đ) 1.655 MIlz 12. Image frequencies in AM recoivers are removed by: a) Low pass filter b) Band pass filters e) The IF stage đ) The mixer
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If a continuous-time signal with a bandwidth of 20 KHz is quantized with at least 10dB of signal quantization noise (SNR), find the binary transmission rate rb (Calculate as fs=2.2 fmax 1-) :
A CT signal x(t) is applied to an anti-aliasing LPF than sampled and finally reconstructed by another ideal filter as shown below. What would be the Fourier transform of the output signal £(t) x(t) AA LPF Sampler RLPF (?) n = 10 n, = 14 n = 10 Antieliasine Ideal LPF Ideal Reconstructing ideal LPF sampler 10 10 a) -10 10 b) -10 4 0 10 c) -10 4 0 10 d) -10 6 0 6. 10
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The following difference equation shows the input-output relationship of a filter: y[n] = 0.5 · y[n – 1] + 0.5 · x[n] a) b) Is this an FIR or IIR filter? Please explain why. Is this a causal filter? Please explain why. Y(ejw) ) Find its frequency response H(ej@) = x(ejw) c) using DTFT. ) Determine the magnitude response H(ej") of the filter. ) Sketch H(ejw)| for w = d) e) 0~m to determine the type of the filter. Is it a low- pass or high-pass filter?
Given certain specifications to design a Butterworth filter using Bilinear transformation, if the obtained values of N and Q, where as follows: N = 7.2 and Q. = 0.72 %3D Which of the following angles is not an angle (in degrees) of one of the filter's stable poles? O 78.75 O 168.75 O 213.75 O 258.75 O None of the above
) For an LTI filter described by the following difference equation: y[n] – y[n – 2] = x[n] a) What is the order of the filter? b) Is this an FIR or IIR filter? Please explain why. Y(2) X(2) d) Draw the block diagram of the filter to show how to implement it. c) find its transfer function H(z) e) Find its impulse response h[n] from H(z).
5
a. What is the 3dB break point? fg=_ the roll off rate in dB/dec after fg? Roll off=_ the gain of the circuit at low frequency? Gain=_ and is this a high pass or low pass filter? b. What L needs to be used to achieve the same fg using an inductor and please draw a schematic of the filter implemented with an inductor. c. Draw a Plot |H(f)| vs. time.

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