Consider the following analog transfer function which has a bandpass magnitude response with | Ha(j0) |=| Ha(j?) |= 0 and | Ha(j?0) |= 1:
, b > 0
Let ?1 and ?2 be the frequencies at which the gain is 3 dB below the maximum value of 0 dB at ?0 (here, assume that ?1 < ?2).
(a) Express ?1?2 (i.e., multiplication) in terms of b and/or ?0.
(b) Express ?2 ? ?1 in terms of b and/or ?0.
Consider the following analog transfer function which has a bandpass magnitude response with | Ha(j0) |=|...
Consider the following transfer function of a bandpass filter: 20 1,500 T(S) = 2 1,500 + 1)(30.000 +1) a) Draw the Bode plot (magnitude and phase) of T(s). Label the slopes (dB/decade) b) Name the filter type. c) Determine the resonant frequency o d) Determine the gain in dB at the resonant frequency e) Determine bandwidth B, and the quality factor of the filter. Magnitude (dB) Phase (Deg)
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...
BPF Filter Bandpass Filter The following circuit acts as a C This filter has a center (resonance) frequency at Hz. 27-VLC and a 3-dB bandwidth of BW = Hz. 2RC 3l f, and a passband for which the signal is This means that the filter has 0 dB gain at attenuated less than 3 dB centered approximately at f, from f,-BW2 to f.+BW/2 (this passband is not exactly centered at f, but its total width is BW) 3l8 Input Signal...
Hi can you help me solve the following analog electronic frequency response question? Please show me step by step how to draw the magnitude plot. Thank you! ) A voltage amplifier has the transfer function: 2000 (1+; 20->1+3168/+370) (i) Determine all the pole and zero frequencies. (4 Marks) (ii) What is the frequency (to a good approximation) at which the phase shift is -90° ? (iii) What is the magnitude of gain at the frequency determined in part (ii)? Express...
For all problems -given a transfer function G(s) sketch the magnitude and phase characteristics in the logarithmic scale (i.e. Bode-plots) of the system using the following rules-of-thumb: i. "Normalize" the G(s) by extracting poles/zeros, substituting s-jw and writing the TF using DC-gain KO and time-constants i. Arange break-points (poles, zeros or on for complex-conjugate poles) in ascending order ii Based on the term Ko(ju)Fk, determine: initial slope of the magnitude-response asymptote for low frequencies as F k 20 dB/dec (e.g....
PROBLEM 8.1 Consider a bandpass filter specified by the system function 2Swns H (s) = Note that the half-power bandwidth of (1) is 2Çwn (a) Figure 1 shows the magnitude squared frequency response for a particular instance of (1) (b) In part (a), you looked at the "horizontal ct of 0.5 on the magnitude squared graph. Let's Find wn and C from the graph look at another cut. Measure the two frequencies on the graph for which the magnitude squared...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha), of the systenm (ii) Sketch the Direct Form I and Direct Form II implementations of this system The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response...
Please solve clearly and step by step. nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2 dB, or M, 2 dB. nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2...
please show methods and calculations 1. Using measured open-loop frequency response values as presented in Table 1, the plant transfer function in the system of Figure 1 has been estimated as 48 Gp (s)- (S+2)(s +4.8s +16) 3.0 0.4 -j 0.7 o (rad/s) 0.8 5.1 6.7 2 j01.1-j 0.8 - 0.34 +j0 -0.14 +j0.07 Table 1 To improve the accuracy of the frequency response plot, use the transfer function to estimate the open-loop frequency response Gp(G1.6) at the additional frequency...
Project Requirements: 1. Based on the schematic approach indicated below, determine capacitances Cl and C2 and an ideal OP AMP configuration that will result in a band pass circuit having a maximum gain of 12 dB with -3dB frequencies at 10 Hz and 2000 Hz The OP AMP circuit should not produce any phase shift. In the OP AMP circuit don't use any discrete resistor values less than K2. In this design, Ti(s) is to be the transfer function of...