b) The z-transform of x[n]is X(z)= Z>5. Solve the z-transform of the (z+0.5) following using properties: y[n]=2"n x[n] c) Design a bandpass digital filter with band edges of 1 kHz and 3 kHz using the digital-to-digital frequency transformations technique of IIR filter with the digital z+1 Low Pass Filter H(z)= This filter has a cutoff frequency of 0.5 kHz z? - z+0.2 and operates at a sampling frequency of 10 kHz.

b) The z-transform of x[n]is X(z)= Z>5. Solve the z-transform of the (z+0.5) following using properties: y[n]=2"n x[n] c) Design a bandpass digital filter with band edges of 1 kHz and 3 kHz using the digital-to-digital frequency transformations technique of IIR filter with the digital z+1 Low Pass Filter H(z)= This filter has a cutoff frequency of 0.5 kHz z? - z+0.2 and operates at a sampling frequency of 10 kHz.

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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Given: You wish to design a band-reject filter using the bilinear transformation method. Your prototype normalized low-pass filter's analog transfer function is given below: 1 H(s) = s2 + V2s +1 The filter should have a stopband between 450 and 550 Hz, and the signal will be sampled at F, = 7.5 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(27100£) + cos(27500f) + cos(271,000f)
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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14.2 Consider the low-pass filter in Fig. P14.2, which has a load resistor R1. a) What is the transfer function of the unloaded filter? b) What is the transfer function of the loaded filter? c) Compare the transfer function of the unloaded filter in part (a) and the transfer function of the loaded filter in part (b). Are the cutoff frequen- cies different? Are the passband gains different? d) If R = 330 N and L = 10 mH, what is the cutoff frequency of the unloaded filter in rad/s?
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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)
Write the equations at the points a, b, and c.) b) -Select the type of the filter and its resonant frequency.
Compare the performances of Butterworth, Chebyshev and Elliptic filters in terms of their appropriate specifications. Estimate the filter coefficients using MATLAB. Distinguish the highlighting features of each type of filter. Plot the spectra and comment on the results.
Can someone explain how to get Zt of the following bandstop filter?
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