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![Given Passive low pass filter w We frequency response si ocWS WG ® H Cew) = potkrer we cluokti inverse DTFT h[n] = 14 loewn d](http://img.homeworklib.com/questions/172bfee0-9faa-11eb-b377-df27053f7fc5.png?x-oss-process=image/resize,w_560)
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(a) Sketch the circuit diagram for the passive lowpass filter circuit and find the frequency response...
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. Sho...
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...
Topics: Frequency Response, Block Diagram Realizations A filter is characterized by its frequency response H(o)-3e-[cos(co)-1] a)...
Topics: Frequency Response, Block Diagram Realizations A filter is characterized by its frequency response H(o)-3e-[cos(co)-1] a) Find the unit sample response. Answer. h[nl- b) Find the filter difference equation Answer: yln c) Sketch a block diagram realization of the filter: >
Please answer all parts thank you 6. [15 POINTS] Consider a passive low-pass filter as shown...
Please answer all parts thank
you
6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
1. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0...
1. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0.3m ωs-0.4m, δp-0.01, and δ,-0.005. Use Kaiser's formula 4. Consider the design of a windowed FIR lowpass filter corresponding to the specifications given in problem #1. Determine its length if Hann, Hamming, and Blackman windows are used. Hint: refer to Equation 10.36 and Table 10.2 of the textbook. 5. With reference to the specifications in problem #1, consider the design of an FIR lowpass filter...
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...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB CODE) 5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2)...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB
CODE)
5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2) or a sinc function in frequency. (a) Find the impulse response h(t) of this filter. Plot it and indicate whether this filter is a causal system or not. (b) Suppose you wish to obtain a band-pass filter G(jS2) from Hj2). If the desired center frequency of |G(jS2)| is 5, and its desired magni- tude is 1 at the center frequency, how would you process...
Draw the circuit diagram and derive the frequency transfer function for the first-order passive RL low-pass...
Draw the circuit diagram and derive the frequency transfer function for the first-order passive RL low-pass filter (voltages as input and output). If this filter has a time constant of 2s and the input voltage signal is cos(πt) + sin(3πt) in the time domain, find the output signal in the time domain.
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response...
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response 0.25r[n] + 0.25r|n -2]. H(). For this exercise, System 1 has a different difference equation yn] Find H1 (w) for- aK π, with frequency steps of Δα-π/100. 2. Plot both the magnitude |H1(2)| and the phase LH1(w) vs w, for-π < ώ < π. Use abs and angle commands to obtain magnitude and phase. Label and title both plots and include in...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] –...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
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...
Topics: Frequency Response, Block Diagram Realizations A filter is characterized by its frequency response H(o)-3e-[cos(co)-1] a) Find the unit sample response. Answer. h[nl- b) Find the filter difference equation Answer: yln c) Sketch a block diagram realization of the filter: >
Please answer all parts thank
you
6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
1. Find the length of the lowpass FIR filter corresponding to the following specifications: wp- 0.3m ωs-0.4m, δp-0.01, and δ,-0.005. Use Kaiser's formula 4. Consider the design of a windowed FIR lowpass filter corresponding to the specifications given in problem #1. Determine its length if Hann, Hamming, and Blackman windows are used. Hint: refer to Equation 10.36 and Table 10.2 of the textbook. 5. With reference to the specifications in problem #1, consider the design of an FIR lowpass filter...
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...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB
CODE)
5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2) or a sinc function in frequency. (a) Find the impulse response h(t) of this filter. Plot it and indicate whether this filter is a causal system or not. (b) Suppose you wish to obtain a band-pass filter G(jS2) from Hj2). If the desired center frequency of |G(jS2)| is 5, and its desired magni- tude is 1 at the center frequency, how would you process...
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response 0.25r[n] + 0.25r|n -2]. H(). For this exercise, System 1 has a different difference equation yn] Find H1 (w) for- aK π, with frequency steps of Δα-π/100. 2. Plot both the magnitude |H1(2)| and the phase LH1(w) vs w, for-π < ώ < π. Use abs and angle commands to obtain magnitude and phase. Label and title both plots and include in...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
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