The transformation s = 2(1 − z −1 )/(z −1 + 1) was applied to an analog prototype to design a HPF with a cutoff at 3π/5.
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(From Mitra M7.5.) (using matlab)Design a digital Chebyshev-I lowpass filter operating at a sampling rate of 80 kHz with a passband edge frequency at 4 kHz, a passband ripple of 0.5 dB, and a minimum stopband attenuation of 45 dB at 20 kHz using the bilinear transformation method. Determine the order of the analog prototype using the command cheb1ord and then design the analog prototype using cheb1ap. Transform the analog filter into a digital one using the bilinear command. Plot...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
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...
Using MATLAB technology 1. (20 points) Design an analog Butterworth LPF with a,--1 dB at ar = 20π rad/s, a,-40 dB at w 100n rad/s. (a) Determine the order and the cutoff frequency of the filter. (b) Find the transfer function of the filter. (c) Plot the frequency response of the filter. (d) Measure the transition band which is given by A2 (a.)-w (e) Increase the order by 2 for the same cutoff frequency, measure the transition band, compare with...
An analog notch filter is defined below where Ω° is the frequency to be removed, and β is the bandwidth around Ω0 And the quality factor Q is defined as .(20 Use bilinear transformation with T = 2 to design a digital notch filter to remove 60 Hzfrequeney with sampling rate 360 Hz. Use Q-5.
2. Perform a lowpass prototype transform, find, given the following digital filter frequency values. a. Low pass filter with a cutoff of 750 Hz b. High pass filter with a cutoff of 12.57 rad/s c. Bandpass filter with a lower cutoff of 400 Hz and a higher cutoff 725 Hz d. Bandstop filter with a center frequency of 135.3 rad/s and a bandwidth of 84.74 rad/s
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...
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...
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200Hz. The sampling frequency is 10kHz. 1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
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...