When converting a butterworth or chebyshev analog filter to an equivalent digital filter. What sort of...
4. We wish to design a digital bandpass filter from a second-order analog lowpass Butterworth filter prototype using the bilinear transformation. The cutoff frequencies (measured at the half-power points) for the digital filter should lie at ω 5t/12 and ω-7t/12. The analog prototype is given by 1 s2+/2s+1 with the half-power point at 2 Determine the system function for the digital bandpass filter. a) b) Make the transfer from LPF to BPF in the analog domain Make the transfer from...
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. 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...
Q.6 (a) (4 pts) A Butterworth filter has been designed with 22. = 0.578 and N=3. Draw the locations of the poles of its magnitude squared function H(s)H(-s). (b) (2 pts) What is value of H.(192) at cutoff frequency 2. for a butterworth filter. (c) (3 pts) From the magnitude squared function in part (a) above, find an expression for H(s), the transfer function of the required analog filter. (d) (2 pts) Give the number of poles for the Chebyshev...
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
Use Bilinear Transform to design a lowpass Butterworth digital filter that passes frequencies up to f=1500Hz with minimum gain -7dB. The filter is to block frequencies from f = 3600Hz with a maximum gain-38dB. The sampling frequency is f = 8000 a) Find the Butterworth Filter Order = (N), 3-dB Cutoff frequency, and the numerator and denominator coefficients of the H(z) b) Which of the frequencies in the followingx()will be passed by your designed filter?x(t) = cos(1600πt)+5cos(8000πt)+3cos(2300πt)+ 2cos(1400πt)
FIlters run the gamut. Let us consider two cases. (a) Butterworth: Smooth & Creamy? Design a high pass, Butterworth filter with a stopband stopping at 0.3n rads/sample, a passband starting at 0.5 rads/sample, and a minimum rise of 60dB between them What is the lowest order filter you can have which satisfies these criterion? Please plot the poles and zeros of this filter in the -plane. See Also: Matlab functions: buttord, butter, bode, tf, zplane, and freqz] (b) Chebyshev: Sharp,...
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...
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue fiter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/'s). Express the digital transfer function of the filter H(z) as: In the box below, provide the numerical answer for b1. [Note: Don't normalise the transfer func on, i.e. b0 # 1). r98111acontentid1837836_1&step QUESTION 7 Windowing based FIR filter design techniques...
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...