An analog signal contains frequencies up to 10 kHz. The signal is sampled at 50 kHz. Design an FIR filter with the following specifications: Linear phase characteristic Transition band of 5 kHz • Minimum 50 dB attenuation at the end of the transition band Fully explain your design Calculations and explanation for filter length and corresponding window length and choice A frequency response plot for the designed filter • Impulse response h[n] for the designed filter Filter coefficients for designed h[n] • Matlab code

An analog signal contains frequencies up to 10 kHz. The signal is sampled at 50 kHz. Design an FIR filter with the following specifications: Linear phase characteristic Transition band of 5 kHz • Minimum 50 dB attenuation at the end of the transition band Fully explain your design Calculations and explanation for filter length and corresponding window length and choice A frequency response plot for the designed filter • Impulse response h[n] for the designed filter Filter coefficients for designed h[n] • Matlab code

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) What kind of filter is this? Be as detailed as you can be. b) What is the equation for the transfer function Vo/v; of this filter? c) What is the equation for the break frequency? Vi R₁ www www R₂ VOUT
1. Design 6th order Butterworth band-pass filter with cut-off frequency is 5KHz and 8KHz and pass- band gain is 10dB Draw the circuit, write the transfer function of the filter, sketch a frequency spectrum of the filter, and show the cutoff frequencies on the spectrum Solution:
2. a) Consider the circuit shown in figure 3. i) Determine what type of filter is shown in Figure 3 i) Calculate the corner or cutoff frequency. Take R = 4 k &, L= 2 H, and C= 1 uF. R Figure 3 b) 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).
4. A simple band-pass filter can be designed by cascading one-pole high-pass and one-pole low-pass filters. Using op- amp circuits similar to the one shown below, design band-pass filter with cutoff frequencies of 200Hz and 50 kHz and with a midband gain of 10dB. Resistor values must be no larger than 200k, but the input resistance must be as large as possible. Vic C oV₂ V₁ www OV
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What is the function of a low pass filter? Draw a diagram of a simple low-pass filter using a capacitor and a resistor.
3. Active Analog Filter Topologies You already know from our class discussions that Circuit 1 is an active analog Low-Pass Filter For each of the remaining three circuits, state whether the circuit will function as a low-pass or high-pass filter. Each of your answers must be accompanied by a brief explanation and justification incorporating the frequency dependent characteristics of the reactive circuit elements. That is you should look at the asymptotic impedance of the L and C if the input signal the frequency is very low or very high. Sketch the expected Bode plot for 20 log(Vo/Vs) as a function of log (f) labeling the corner frequencies. No equations are required! R2 R2 R2 R2 R1 R1 R1 Vs Vs o W- Vs Vs Vo Vo Vo Vo Circuit 1 Citcuit 2 Circuit 3 Circuit 4
Answer the following wuth illustration and solutions. 1.) A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 500Hz and below 1.5kHz. Assuming that both the resistor have values of 1kohms, calculate the values of the two capacitors required. Find also the center frequency of the two frequencies. This is the example/guide that might help.
6. Consider the switched-capacitor filter in the below figure. Design the circuit for a low-frequency gain of -10 and a cutoff frequency of 10 kHz. The clock frequency must be 10 times the cutoff frequency and the largest capacitance is to be 30pF. Find the required values of C₁, C2, and CF. SAL +
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