Given that Ha(S)=10/(S^2 + 7S 10) With T=0.2S . Find H(z) <= Digital filter
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Given that Ha(S)=10/(S^2 + 7S 10) With T=0.2S . Find H(z) <=
Digital filter
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2. (50 marks) Consider using the impulse invariance method to design a prototype IIR digital filter...
2. (50 marks) Consider using the impulse invariance method to design a prototype IIR digital filter corresponding to the analogue prototype filter: He(s) = 52 +58 +6 a) Write the correct sequence of basic steps involved in this method. b) Determine the transfer function H(z) of the resulting digital filter. Simplify H(2) as much as possible. Assume a sampling frequency of fs = 100 HZ.
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse...
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
Digital Signal Processing QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Der...
Digital Signal Processing
QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Derive an expression for the output sequence yin], in terms of the input b) sequence, xla], and delayed input and output sequences 10 151 e) Find the unit sample response for the filter (first three terms only)
QUESTION SIX A digital filter system has a transfer...
Please solve these questions. Thank you. 16.3 (a) Use the impulse invariance method to show that...
Please solve these questions. Thank you.
16.3 (a) Use the impulse invariance method to show that the analog transfer function given by 2.6702 H(s)=3+2.7747s2 +3.8494s +2.6702 B. Friedlander and B. Porat, the modified Yule-Walker method of ARMA spectral estimation, IEEE Transactions on Aerospace Electronic Systems (1984), AES-20(2), 158-173. (2] L. B. Jackson, Digital Filters and Signal Processing. 3rd edn. Kluwer Academic Publishers (1996), Chap. 10, pp. 345-355 16 lIR filter design results in the following z-transfer function: 0.4695220.1907z H(z)=3-0.610622 +0.3398z-...
1.The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2,...
1.The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficents and b's are the denominator coefficients). Compute the magnitude response |H(ejω)| where ω = 5.174 rad/sec. 2. It is desired to extract a constant signal s(n)= s from the noisy measured signal x(n)= s(n)+v(n)= s + v(n), where v(n) is zero-mean white Gaussian noise of variance ϭv2. For...
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...
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...
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the...
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the difference equation of the 2nd-order IIR filter given by the block diagram Y(z) X(z) + X + +
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation....
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. (50 marks) Consider using the impulse invariance method to design a prototype IIR digital filter corresponding to the analogue prototype filter: He(s) = 52 +58 +6 a) Write the correct sequence of basic steps involved in this method. b) Determine the transfer function H(z) of the resulting digital filter. Simplify H(2) as much as possible. Assume a sampling frequency of fs = 100 HZ.
aliasing? A continuous-time system is given by the input/output differential equation 4. H(s) v(t) dy(t) dt dx(t) + 2 (+ x(t 2) dt (a) Determine its transfer function H(s)? (b) Determine its impulse response. (c) Determine its step response. (d) Is the stable? (a) Give two reasons why digital filters are favored over analog filters 5. (b) What is the main difference between IIR and FIR digital filters? (c) Give an example of a second order IIR filter and FIR...
Digital Signal Processing
QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Derive an expression for the output sequence yin], in terms of the input b) sequence, xla], and delayed input and output sequences 10 151 e) Find the unit sample response for the filter (first three terms only)
QUESTION SIX A digital filter system has a transfer...
Please solve these questions. Thank you.
16.3 (a) Use the impulse invariance method to show that the analog transfer function given by 2.6702 H(s)=3+2.7747s2 +3.8494s +2.6702 B. Friedlander and B. Porat, the modified Yule-Walker method of ARMA spectral estimation, IEEE Transactions on Aerospace Electronic Systems (1984), AES-20(2), 158-173. (2] L. B. Jackson, Digital Filters and Signal Processing. 3rd edn. Kluwer Academic Publishers (1996), Chap. 10, pp. 345-355 16 lIR filter design results in the following z-transfer function: 0.4695220.1907z H(z)=3-0.610622 +0.3398z-...
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...
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...
1 Find the impulse response of H(z), where H(z) is the system 1-2+2 function of the difference equation of the 2nd-order IIR filter given by the block diagram Y(z) X(z) + X + +
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
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...
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