EXAMPLE 4.. Find n for a low-pass Butterworth response with fe= 1 kHz, f, = 2...
Design a fourth order low pass Butterworth filter with a cutoff frequency of 2 kHz and draw the frequency response for the filter.
For a sixth-order low-pass Butterworth filter (a) Find the minimum attenuation Amin if ws = 1.5wp with a 0.5-dB maximum passband ripple. (b) instead of finding Amin, find an arbitrary attenuation point for the same filter at frequency wm at the midpoint between wp and ws.
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The dc gain is unity (zero dB); b. The gain is no smaller than -1 dB for frequencies between 0 and 2,000 Hz; and c. The gain is no larger than -40 dB for frequencies larger than 40 kHz. Determine a circuit realization as a series RLC low-pass filter. Pick reasonable values of R, L, and C.
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The...
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
13.12 Design an active Butterworth low-pass filter with +16 dB in the dc limit, -40 dB at 20 kHz, and fo4 kHz.
Design a low-pass filter (LPF) has pass-band frequency fP = 100 kHz, maximum attenuation in passband Amax
= 2 dB, stop-band frequency fS = 120 kHz, minimum attenuation in stop-band Amin = 60 dB. a/ Calculate the minimum order N for Chebyshev filter and the corresponding minimum stop-band
attenuation? b/ Calculate the minimum order N of low-pass B
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please determine the transfer function of a 2nd-order, high-pass Butterworth filter with cut-in frequency equal to 6 kHz B. At what frequency is the gain of this filter -3 dB? -30dB?
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please...
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+ (...
just do 4 , 3 is solved
3. Use a Bilinear Transform to design a Butterworth low-pass filter which satisfies the filter specifications: Pass band: -1Ss0 for 0sf s0.2 Stop band: (e/40 for 0.35sf s0.s Transition Band: 0.2<f<0.35 Sampling Frequency: 10 kHz a. (3) Determine the stop-band and pass-band frequencies, Fstop and Fpas, in kHz. b. (3) Calculate the fater order, n, which is necessary to obtain the desired filter specifications. (3) Calculate the corner frequency, Fe, if you want...
answer in red box
1. Using the most appropriate window from Table 8.1 find a mathematical expression for the im pulse response h[n] of a low-pass type-II linear-phase FIR filter meeting the following specifica tions: . 2 4 kHz, f 6 kHz, 6, 0.1, δ,S 0.01, and a sampling frequency of F-20 kHz. h[n]- icos(2In/17)].sin(0.5JI(n 8.5))/JI(n - 8.5) for n-0,1,...,17; 0 otherwise 6. Use the bilinear transformation to design a digital Butterworth filter that meets the specifications in Problem 1....