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A discrete-time filter is to be designed using the bilinear transform method. The sampling rate of...
Use Bilinear Transform to design a lowpass Butterworth digital filter that passes frequencies up ...
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)
Question 2. (25 marks) Design a discrete time low-pass IIR filter operating at a sampling rate of 8 kHz such that its magnitude response is monotonic (i.e., smooth with no ripples) and satisfies the...
Question 2. (25 marks) Design a discrete time low-pass IIR filter operating at a sampling rate of 8 kHz such that its magnitude response is monotonic (i.e., smooth with no ripples) and satisfies the following conditions (i) The magnitude response has an attenuation of at least 20dB at 2000 Hz (ii) The magnitude response has an attenuation of at most 2dB at 1000 Hz Determine the transfer function, H(z) A. 120 Marks] sketch the Direct Form II structure of the...
please provide a complete solution with the correct answer. In the following questions, a discrete-time filter...
please provide a complete solution with the correct answer.
In the following questions, a discrete-time filter is to be designed using the impulse invariance method. The sample rate of the digital system is 2 samples/second. The discrete-time filter is to replace the causal continuous-time filter below, with H(s) = Vo(s)/Vi(s) . L-2H Vo(t) R=1 ohm 31. The z-transform of the discrete-time filter is H(z)= 1 -1 )-- 0. 25 , , -0.25 a) c) e) none above 0.2 -0.2 0.5...
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digit...
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai passos frequencies up to f,, 12K1Iz with ınaximiin kxz; ofǎ_ (1,1A and stops frequences from, fs-24KHz with a minimum loss of δ2-0.3. The sanpling frequency isf 100KHz. Find the Butterworth Filter Order(N), 3-dB Cutoff frequency and the numerator and denominator coefficients of the H(z) by hand-calculation.
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t)...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t) at 6 kHz. The digital is filter described by y(n) -x(n) + 0.8y(n -1) Find an expression for the steady state output if x(t) -3sin(2mft) with f 200 Hz? Hint: evaluate the filter's frequency response at the discrete time frequency corresponding to 200 Hz. (12 points) Anti-alias filter Sample A/D Digital Filter
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...
1. Design a 10th-order lowpass FIR filter using the window method (fir1) to cut frequencies above...
1. Design a 10th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. 2. Plot the filter coefficients that define the filter (stem). 3. Plot the frequency response of the FIR filter designed (freqz) 4. Design a 100th-order lowpass FIR filter using the window method (fir1) to cut frequencies above 30Hz in an application where the sampling frequency is 125 Hz. Plot the filter coefficients that...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
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...
A digital filter is characterized by the following recursive relation, where x(n) and y(n)
A digital filter is characterized by the following recursive relation, where x(n) and y(n) are the input and output samples at the nth sampling instant. The sampling frequency is 100 Hz.y(n) = 0.8 y(n-1) – 0.64 y(n-2) + x(n) – x(n-1) + x(n-2) Find the poles and zeros of the discrete time transfer function of the filter. Hencededuce and sketch the magnitude response characteristic of the filter from f =0 to f = infinity. Mark the values at f =0,...
Question 2. (25 marks) Design a discrete time low-pass IIR filter operating at a sampling rate of 8 kHz such that its magnitude response is monotonic (i.e., smooth with no ripples) and satisfies the following conditions (i) The magnitude response has an attenuation of at least 20dB at 2000 Hz (ii) The magnitude response has an attenuation of at most 2dB at 1000 Hz Determine the transfer function, H(z) A. 120 Marks] sketch the Direct Form II structure of the...
please provide a complete solution with the correct answer.
In the following questions, a discrete-time filter is to be designed using the impulse invariance method. The sample rate of the digital system is 2 samples/second. The discrete-time filter is to replace the causal continuous-time filter below, with H(s) = Vo(s)/Vi(s) . L-2H Vo(t) R=1 ohm 31. The z-transform of the discrete-time filter is H(z)= 1 -1 )-- 0. 25 , , -0.25 a) c) e) none above 0.2 -0.2 0.5...
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai passos frequencies up to f,, 12K1Iz with ınaximiin kxz; ofǎ_ (1,1A and stops frequences from, fs-24KHz with a minimum loss of δ2-0.3. The sanpling frequency isf 100KHz. Find the Butterworth Filter Order(N), 3-dB Cutoff frequency and the numerator and denominator coefficients of the H(z) by hand-calculation.
Using the Bilinear Transform steps in Example-2 done in class, design a lowpass Butterworth digital ülier thai...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t) at 6 kHz. The digital is filter described by y(n) -x(n) + 0.8y(n -1) Find an expression for the steady state output if x(t) -3sin(2mft) with f 200 Hz? Hint: evaluate the filter's frequency response at the discrete time frequency corresponding to 200 Hz. (12 points) Anti-alias filter Sample A/D Digital Filter
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...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
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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