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A system is excited by a sinusoid whose amplitude is 1 uV and the response is...
7.2 A sinusoid with 1-V peak amplitude is applied at the input of a filter having the transfer function 4 2π × 10 T(s) = s+2n×104 Find the peak amplitude and the phase (relative to that of the input sinusoid) of the output sinusoid if the frequency of the input sinusoid is (a) 1 kHz, (b) 10 kHz, (c) 100 kHz, and (d) 1 MHz
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown below. *(-1) - x[-2] - ... -0 and yf-1) - Y[-2] ... - x[r] - int) Find “Math Model" for the system. nt) Find "Transfer Function" for the system. Draw the pole-zero plot for the system (use unit circle on Re-Im axis) Sketch the amplitude response of the system → indicate values at important points (92 = 0, 1/4, 21/4, 37/4, T) include detailed...
Question 5 For the system shown in Figure 4a whose frequency response curves for G, and G2 have been experimentally determined in Figure 4b, (a) Construct the asymptotic Bode magnitude plot of open-loop transfer function G= G1G2; (b) Determine the open-loop transfer function G-GG2; (e) Find the gain cross-over frequency from the asymptotic Bode magnitude plot of the open-loop transfer function. COD) R(D) +( EHGDAG(D) 62 0.01 0 1 10 100 (6) Figure 4
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please determine the transfer function of a 2nd-order, high-pass Butterworth filter with cut-in frequency equal to 6 kHz B. At what frequency is the gain of this filter -3 dB? -30dB?
7. Smooth as Butter! (10 Points) The frequency response magnitude of a normalised Butterworth filter of order n is given by: 1 V A. Please...
The system shown in Fig.is composed of two systems in cascade. Answer the following questions. System 2 stem 1 C1 1uF L1 1mH x(t) y(t) z(t) OMO Figure 1: Circuit for Questions 12.3and 1. For System 1 (a) Find the transfer function of System 1 (b) Find the magnitude frequency response of System 1 (c) What type of filter is System 1? Justify your answer (d) Find the 3-dB frequency of System 1 and sketch the magnitude frequency response of...
(5 pts). Suppose that H(j^o) is the frequency response of a system at frequency wo. The gain in decibels at that frequency is given by 7. G - 20log.o (H(j dB. dB Show that if H2 (ja,) = 2H (ja,), the gain G2 b. Show that if H3 (ja) = 0.1H ( jw), the gain Gis 20 dB lower than the gain G\B- If G3 is 6 dB greater than the gain G dB a. 7 14 dB, how is...
[14] The frequency response test on a system yielded the following data: db 900 610 450 00 0.1 -14 0.5 1 5 10 -450 -1360 -1800 7.5 10 50 -19 100 -31 Plot the data on a semi-log graph sheet. And, also determine the system transfer function in a frequency domain.
[14] The frequency response test on a system yielded the following data: db 900 610 450 00 0.1 -14 0.5 1 5 10 -450 -1360 -1800 7.5 10 50...
Step Response Step Response 18 2 16 System 1 Peak amplitude: 2.19 Overshoot (9.00 Al time seconds):0.391 System: G2 Time seconds): 0.494 Amplitude 16 System: G2 Time seconds 31 Amplitude: 1.04 1.5 1.2 Amplitude Amplitude 1 08 06 0.5 0.2 O 0.1 0.2 0.6 0.3 04 0.5 Time (seconds) 07 5 Time (seconds) 1) For the step responses, obtained from some unknown systems, shown above, find dynamic system models using only the data points shown in, assume that all points...
An excitation (Force) 60sin(ot)+80 cos(1) N produces a steady-state response (particular solution) whose quasi-static amplitude is 50 mm. The natural frequency of the system is 20 Hz, and a = 18 Hz produces a steady-state response that is in phase with a sine response. Determine the amplitude of the displacement (x) when ( = 18 Hz. Hint: The system is in damped vibration.
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...