We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
3. Assume the sampling period is 0.1 second. Convert the analog filter S +4 20TF S...
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...
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...
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...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...
Give me the explanation plz 2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
A discrete-time filter is to be designed using the bilinear transform method. The sampling rate of the digital system is 2 samples/second. The continuous-time filter is given as; s + 2 5 Points Each. Circle the Best Answer 37. lf the filter is changed to a prewarped bilinear design with a prewarp frequency ot 1 Hz, the dc frequency response of the discrete-time filter lH(coo Would then equal a) arctan(2)b) 1/3c) d) 76 e) none above
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...
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...
the 3.9. Assume that a DS processor with a sampling time interval of 0.01 second cony following analog signals x(t) to a digital signal x(n); determine the digital sequence for of the analog signals. a. x(t)e-0 (t) b. x(t) = 5sin(20m)u(t) d. x(t) = 10e-ionsin(15m)u(t)
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.