Determine the order N of the Butterworth filter, which satisfies Amax = 1 dB, ωs /ωp = 1.5, and Amin = 30 dB
a/ Determine the order N of the Butterworth filter, which satisfies Amax = 1 dB, ωs /ωp = 1.5, and Amin = 30 dB.
b/ Re-calculate the minimum attenuation in stop band with the value of N in part (a). c/ If Amin is maintained exactly at 30 dB, then how many dBs that Amax decreases compared to the original specification?
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Determine the order N of the Butterworth filter, which satisfies Amax = 1 dB, ωs /ωp = 1.5, and Amin = 30 dB
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.
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
For a sixth-order low-pass Butterworth filter (a) Find the minimum attenuation Amin if ws = 1.5wp...
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.
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....
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...
PROBLEM #1: For each of the three sets of specifications given below, determine: (a) (b) (c)...
PROBLEM #1: For each of the three sets of specifications given below, determine: (a) (b) (c) (d) The order, n, of the LP Butterworth filter. The half-power frequency, 0, - The actual attenuation at the edge of the pass-band and the stop-band, alo,) and alw;). The attenuation at frequencies 20, and 100,. Amr,dB 0.25 0.50 1.00 L | Amin, dB 15 30T 0,,,rad/s 10,000 750 1,250 0,,rad/s 14,000 1,750 4,375 25
Design a low-pass Butterworth filter which meet the specification as below: . Attenuation at least 18 dB at 3o i. C...
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+ (...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
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...
PROBLEM #1: For each of the three sets of specifications given below, determine: (a) (b) (c) (d) The order, n, of the LP Butterworth filter. The half-power frequency, 0, - The actual attenuation at the edge of the pass-band and the stop-band, alo,) and alw;). The attenuation at frequencies 20, and 100,. Amr,dB 0.25 0.50 1.00 L | Amin, dB 15 30T 0,,,rad/s 10,000 750 1,250 0,,rad/s 14,000 1,750 4,375 25
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+ (...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
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