Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![Given the system function of a discrete time filter at rest.
H(z)
O
=
The difference equation is:
O.
O
1-z-1
1+0.49z-²
with R.O.C: |z| > 0.7
y [n] = x[n] − x[n − 1] + 0.49y[n − 2]
y[n] = x[n] - x[n − 1] – 0.49y[n − 1]
y[n] = x[n] + x[n − 1] +0.49y[n − 1]
y[n] = x[n] - x[n 1] – 0.49y[n - 2]](https://content.bartleby.com/qna-images/question/4c026662-8b5b-4989-a998-90b21c562866/a641d798-11eb-4ab3-ad86-dd717b994cf7/7wpgff_processed.png)
Transcribed Image Text:Given the system function of a discrete time filter at rest.
H(z)
O
=
The difference equation is:
O.
O
1-z-1
1+0.49z-²
with R.O.C: |z| > 0.7
y [n] = x[n] − x[n − 1] + 0.49y[n − 2]
y[n] = x[n] - x[n − 1] – 0.49y[n − 1]
y[n] = x[n] + x[n − 1] +0.49y[n − 1]
y[n] = x[n] - x[n 1] – 0.49y[n - 2]
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- PLEASE ANSWER ALL QUESTIONS THEY ARE SUBSECTIONS OF ONE QUESTION. ANY ODING IS FOR PYTHON THANK YOU. PART 1:Assume a high-pass filter with 80dB stop-band suppression and cutoff frequency of 100Hz. Now assume you generated an input signal x(t)=sin(2*pi*10*t)+20*sin(2*pi*500*t), where t is measured in seconds. What is the magnitude of a signal at 10Hz, 200Hz and 500Hz at the output of the filter? PART 2: On a scale from 0 to 1, (0 corresponding to DC, and 1 to Nyquist frequency) what value corresponds to 50Hz if the sampling rate is 2KHz. 50/1000 = 0.05 PART 3: Draw the magnitude response of an ideal high pass filter with stop-band cutoff of 100Hz and pass-band cutoff of 200Hz and a Nyquist frequency of 1kHz. What is the roll-off of this filter measured in dB per Hz in this example?arrow_forwardWant to make a filter that can pass signals with frequencies above 1 kHz. Filter desired is order 2 with a response having a transition region slope greater than 20dB/decade per order. One of the components given is a 100pF capacitor. Please explain the filter design in fullarrow_forward
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