An analog filter with the transfer function 1/((6?+1)(0.05?+1)) is to be replaced by a computer. Determine...
An analog filter with the transfer function 1/((6?+1)(0.05?+1)) is to be replaced by a computer. Determine an appropriate (max) sampling time and the transfer function of the discretized filter. You may use any discretization method you like but you should justify all choices.
Homework Answers
this
is the required discretized transfer function in terms of z
transform.
In this method there are following steps are followed.
- Laplace transform of transfer function.
- Inverse laplace ( continuous form)
- Convert in discrete form
- Taking Z transform by choosing pole maping (Z=e^ST)
- Locate pole zero
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An analog filter with the transfer function 1/((6?+1)(0.05?+1))
is to be replaced by a computer. Determine...
1.(10pts) A first-order highpass filter whose transfer function is represented in Laplace transforms as H HPS) -, where Ωο(cut-off frequency) is 1000 rad/sec. Convert this analog filter into a digita...
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Problem 11: Discretization of a Continuous-Time Filter Consider the continuous-time system with transfer function Hc(s) A...
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1.(10pts) A first-order highpass filter whose transfer function is represented in Laplace transforms as H HPS) -, where Ωο(cut-off frequency) is 1000 rad/sec. Convert this analog filter into a digital filter with bilinear-transformation assuming sampling rate is 2500Hz and then determine its input-output relation. In your answer, you will need to provide (i) HHP) and ii) filter's input-output relation. You can find the formula of bilinear transformation in either lecture notes (Lec 14) or textbook pp.494
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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...
We have the transfer function for an analog bandpass filter: Note that I chose the values of 2 and 4 in the formula, but really these coefficients would be chosen for the characteristics that you want from the filter Use the bilinear transformation to produce H(2) and from this the corresponding output difference equation. For this, use the following values fs 1000 Hz Be clear what He) and yinl are.
We have the transfer function for an analog bandpass filter:...
Problem 11: Discretization of a Continuous-Time Filter Consider the continuous-time system with transfer function Hc(s) A discrete-time approximation to the system using the [16, -8 two's complement representation scheme is to be designed (A) Using Tustin's approximation, determine a discrete-time approximation with transfer function (B) Determine the poles and zeroes of Hd,Tustin(z), noting that the poles are complex conjugates (C) Plot the frequency responses of Hd,Tustin (2) and of Hd.eract (z) Hd, Tustin (z) using the sampling time 1 ms....
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