yln] - ayln - 1]+(1-a)xn].where 0< a< l is a real constant.Determine the system function of the filter, H(z), and the impulse response, h[n}, forn1,0, 1,2.2. Determine the frequency at which the filter has a gain of - 3dB.

Answered: Image /qna-images/answer/533d8b41-5477-4c2e-9e40-b8607e643557.jpg

Answered: yMn) - ayln - 1]+(1-a)x[n]. where 0< a

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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Practically, the de-emphasis filter in an FM receiver unit is often a simple resistance-capacitance (RC) circuit with transfer function. Hde(f)=1/(1+j2πfRC) i) Determine the 3-dB bandwidth and equivalent bandwidth. ii) Presume the modulating signal has bandwidth W, the carrier amplitude is A, and the single-sided power spectral density of the white Gaussian noise is N0. Solve for the noise power at the output of the de-emphasis filter circuit. iii) Find the noise power without the de-emphasis filter. iiii) Supposing RC = 6 × 10−5, and W = 15 kHz. Calculate the improvement in the output signal-to-noise ratio (SNR) provided by the de-emphasis filter. Express it in decibel (dB).
Q1. The Transfer function H(z) of a digital filter is given by ?(?) = 1−3?−1 1+3?−1+2?−2 Realize using Direct Form I, Direct Form II, Cascade and Parallel Methods.
First calculate the transfer function H(z) from the following difference equation.Then extract the filter parameters (as and bs) that are rquired to implement this filter in Python. y[n] = 2y[n-2] + 7y[n-1] + 4x[n] a = .. , .. , .. , .. b = .. , .. , .. , .. Please show me step by step to understand it clearly
a) A Chebyshev Type 1 filter has the following characteristics,??1=100,??2=200,??1=50,??2=300????≤1?? and bandstop gain, ??≤20??.By evaluating the characteristics, design the filter’s transfer function.b) Given a transfer function of a filter as follows,?(?)=20(?+1)?2+210?+2000Analytically, sketch the amplitude bode plot of the filter. Then name the possible filter type.
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.
(a) as shown for a maximally flat second-order low-pass filter with fo =25 kHz, using the circuit as shown. Assume C =0.005μF.What is the filter bandwidth? (b) Use frequency scaling to change fo to 50 kHz.
Using a 15-k(ohm) resistance, design an RC high-pass filter with a breakpoint at 200-kHz.
Let the impulse response of a filter be ℎ[?] = {ℎ[0] = −0.5, 0.5}a) Calculate the frequency response ?(???). Is it a low-pass or a high-pass filter? Plot boththe magnitude and phase responses.b) Obtain the I/O relation for this filter.c) Is this a causal filter? Explain your answer.
The band-pass filter circuit with input vi(t) voltage and output v0(t) voltage is given. w=10000 rad/s center frequency wc1=? rad/s lower cutoff frequency wc2=?rad/s upper cutoff frequency B=? rad/s bandwidth Q=8 quality factor in the table? fill in the fields
The input power of a filter is 200 mW and its output power in dBm scale is 20 dBm. Accordingly, a) Does this filter provide Attenuation or Gain in a circuit? Why is that? b) What is the value of the power loss or gain in this filter?
In the circuit, the input is "is (t)" and the output is "io (t)". Adhering to the topology shown, and since C = 1 μF, design a low-pass filter that has a resonant frequency ω0 = 200 rad s − 1, a unity gain, and a quality factor of 0.707. To do this, obtain the transfer function H (ω) and the values of R and L.Note: The filter gain is | H (ω) |.
Consider the low-pass filter , which has a load resistor RL. 1. a) What is the transfer function of the unloaded filter? 2. b) What is the transfer function of the loaded filter? 3. 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 frequencies different? Are the passband gains different? 4. d) If R=330 Ω and L=10 mH, what is the cutoff frequency of the unloaded filter in rad/s? 5. e) What is the smallest value of load resistance that can be used with the filter components in part (d) so that the cutoff frequency of the resulting filter is no more than 5% different from the unloaded filter?

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