Butterworth analog filter
Design an analog Band Pass filter to meet the following specification, passband at 20k Hz and 45k HZ and stopband at 15k Hz and 50k Hz. Stop band attenuation of 50dB and Pass band attenuation is 0.25dB.
Homework Answers
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital f...
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital filter using the impulse invariance approach. Design a Butterworth low pass filter that meets the follow- ing specifications. Passband gain is atleast -2 dB and stopband attenuation is atleast -20 dB, i.e. 0.79433 lH(ejw)I l in the frequency range 0 0.2π and lH(eM)I 0.1 in the frequency range 0.4π-lal T. (a) Sketch the specifications and identify the pass band tolerance, stop band tolerance, transition, passband...
3. (I0pts) An elliptic analog bandpass filter is to be designed with the following specifications: passband edge: 30 kHz and 50 kHz stopband edge: 25 kHz and 55 kHz peak passband ripple: 0.25dB minim...
3. (I0pts) An elliptic analog bandpass filter is to be designed with the following specifications: passband edge: 30 kHz and 50 kHz stopband edge: 25 kHz and 55 kHz peak passband ripple: 0.25dB minimum stopband attenuation: 40dB What's the bandedge of the corresponding elliptic analog low-pass filter? (Note: There are two possible solutions but you only have to provide one) (5pts) What's the filter order of the corresponding elliptic analog low-pass filter? (You can use Matlab to get your answer....
Question 22 of 4 Question 22 0.5 points Save Compute the equivalent analog cutoff frequency of...
Question 22 of 4 Question 22 0.5 points Save Compute the equivalent analog cutoff frequency of a low-pass IR Butterworth digital filter of 2 order with passband frequency 417Hz, stopband frequency 832Hz and sampling frequency 7.194Hz. The filter should has passband attenuation of 0.48dB and stopband attenuation of 13.61dB
3.5 Design both (a) a Butterworth and (b) a Chebyshev analog low-pass filter that have a...
3.5 Design both (a) a Butterworth and (b) a Chebyshev analog low-pass filter that have a -3-dB cutoff frequency of 100 rad/sec and a stopband attenuation of 25 dB o greater for all radian frequencies past 250 rad/sec. Plot 20 log H ) for your filters and show that you satisfy the requirements at the critical frequencies.
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of,...
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of, Wp = 2 rads' Passband ripple of 3dB Cut-off frequency is at mid-point of the transition band • Stopband attenuation of 20dB or greater beyond ws=2.5 rads! • Find the filter transfer function H(S)
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0...
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
band stop filter
Design a band-stop filter to meet the following specifications: Maximally flat passband in 0 ≤f ≤10 kHz and 15 kHz sf <0 Passband gain equal to 0dB; αmax = 1 dB, and Stopband in 12 kHz ≤f≤12.4 kHz and αmin = 40 dB
An IIR low-pass filter is to be designed to meet the following specifications:
An IIR low-pass filter is to be designed to meet the following specifications: 1. Passband cutoff frequency of 0.22 π with a passband ripple less than 0.01.2. Stopband cutoff frequency of 0.24 π with a stopband attenuation greater than 40 dB.(i) Determine the filter order required to meet these specifications if a digital butterworth filter is designed using the bilinear transformation. (ii) Determine the filter order required to meet these specifications if a digital chebyshev filter is designed using the bilinear transformation.
A digital low pass IIR filter is to be designed with Butterworth approximation using the Bilinear transformation
A digital low pass IIR filter is to be designed with Butterworth approximation using the Bilinear transformation technique having the following specifications:(i) Passband magnitude is constant within 1 dB for frequencies below 0.2 π.(ii) Stopband attenuation is greater than 15 dB for frequencies between 0.3 π to π. Determine the order of the filter, cutoff frequency, poles location and transfer function of digital filter in order to meet the above specifications.
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
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital filter using the impulse invariance approach. Design a Butterworth low pass filter that meets the follow- ing specifications. Passband gain is atleast -2 dB and stopband attenuation is atleast -20 dB, i.e. 0.79433 lH(ejw)I l in the frequency range 0 0.2π and lH(eM)I 0.1 in the frequency range 0.4π-lal T. (a) Sketch the specifications and identify the pass band tolerance, stop band tolerance, transition, passband...
3. (I0pts) An elliptic analog bandpass filter is to be designed with the following specifications: passband edge: 30 kHz and 50 kHz stopband edge: 25 kHz and 55 kHz peak passband ripple: 0.25dB minimum stopband attenuation: 40dB What's the bandedge of the corresponding elliptic analog low-pass filter? (Note: There are two possible solutions but you only have to provide one) (5pts) What's the filter order of the corresponding elliptic analog low-pass filter? (You can use Matlab to get your answer....
Question 22 of 4 Question 22 0.5 points Save Compute the equivalent analog cutoff frequency of a low-pass IR Butterworth digital filter of 2 order with passband frequency 417Hz, stopband frequency 832Hz and sampling frequency 7.194Hz. The filter should has passband attenuation of 0.48dB and stopband attenuation of 13.61dB
3.5 Design both (a) a Butterworth and (b) a Chebyshev analog low-pass filter that have a -3-dB cutoff frequency of 100 rad/sec and a stopband attenuation of 25 dB o greater for all radian frequencies past 250 rad/sec. Plot 20 log H ) for your filters and show that you satisfy the requirements at the critical frequencies.
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of, Wp = 2 rads' Passband ripple of 3dB Cut-off frequency is at mid-point of the transition band • Stopband attenuation of 20dB or greater beyond ws=2.5 rads! • Find the filter transfer function H(S)
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
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