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1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of,...
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.
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of...
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...
2. Design a digital lowpass filter to meet the following specifications: passband edge = 0.45π stopband...
2. Design a digital lowpass filter to meet the following specifications: passband edge = 0.45π stopband edge = 0.5π Rp = 0.5 dB, As = 60 dB a. Design a Buttterworth filter, you may use the butterord and butter commands to implement. b. Design Chebyshev Type 1 filter ( use the equivalent commands to above ) c. Design an Elliptic fitler ( use the equivalent commands to part a ). d. List the order of each filter and find the...
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....
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...
Consider an FIR lowpass filter design with the following specifications: Passband Stopband Passband ripple Stopband attenuation...
Consider an FIR lowpass filter design with the following
specifications:
Passband
Stopband
Passband ripple
Stopband attenuation
Sampling rate
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation
We were unable to transcribe this imageWe were unable to transcribe this image= 1200 4000H = 0.1dB We were unable to transcribe this imageWe were unable to transcribe this image
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 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...
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.
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.
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...
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....
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...
Consider an FIR lowpass filter design with the following
specifications:
Passband
Stopband
Passband ripple
Stopband attenuation
Sampling rate
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation
We were unable to transcribe this imageWe were unable to transcribe this image= 1200 4000H = 0.1dB We were unable to transcribe this imageWe were unable to transcribe this image
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...
3.5 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.
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