7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is give...
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog filter (10marks) Skecth the block diagram of transfer function (5 marks) Plot the magnitude response of the filters. (5marks) 1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c...
Compare the frequency response of 5th order Butterworth low-pass filter with the frequency response of 5th order 2-dB Chebyshev low pass filter. Discuss your observation
Design a low-pass Butterworth filter which meet the specification as below: . Attenuation at least 18 dB at 3o i. Cut-off frequency is 150 kHz. Given th at magnitude function of nth order Butterworth is defined by Hj@) , where n positive integer, o,cut-off frequency 2Pm a) and the list of polynomials of Hen(s) up to n-6 as shown in Table 1 Polynomial 2 (2 +1.414s t) 40.7654s 1 ( 1.8478s+1) 5 s l) +0.6180s1)(+1.6180s D) 60.5176s+ D +1.4142s+ (...
Explain your process please 1. Design 6th order Butterworth band-pass filter with cut-off frequency is 4KHz and 7KHz and pass- band gain is 20dB Draw the circuit, write the transfer function of the filter, and sketch a frequency spectrum of the filter and show the cutoff frequencies on the spectrum Solution:
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.
Figure 2 below shows a bode-plot of a Butterworth response filter, with cut-off frequency, fc of 95 kHz and damping factor, a of 1. Define roll-off rate and explain how it effects the frequency response of this filter. Then, modify the frequency response to have a -80 dB/decade roll-off rate by redesigning the filter with appropriate structure and components value. Draw your filter design. Gain (normalized to 1) OdB -3 dB Actual response of a single-pole RC filter – Passband...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.
Design a fourth order low pass Butterworth filter with a cutoff frequency of 2 kHz and draw the frequency response for the filter.
Design a second-order Butterworth low-pass filter with a DC gain of 0 dB and a -3 dB frequency of 5.24 kHz. (include circuit design w/ component values)
Design active butterworth high pass filter of 4th order (n=4) if Fc=7.2 khz, A( min )=14dB, all capacitors equal to 0.22uF.. Find all R valuesAv(gain)Q