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3.11.1 Determine the -3 dB bandwidth of the filter whose frequency transfer function is: H(w) =...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Compute values for R and L to yield a bandpass filter with a center frequency of 5kHz and a bandwidth of 200Hz, using a 10nF capacitor. (25 points) 1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies...
4. In order to process the recorded EEG signal, you need to design a filter system that has the following frequency response. Determine a) transfer function of the system; b) Time-domain differential equation of the system. w dB 40 dB 20109, 0/H(jw)| (dB) D -40 dB 10' Frequency (radians/sec) 10° phase(H(jw)) (radians) 72 10° 10 Frequency (radians/sec)
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)
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
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...
Problem 3 (LSM3) (20 pts) Consider a Butterworth filter of order one with a cutoff frequency of we [rad/sec]. (a) Determine the transfer function H(s) of the Butterworth filter so that it is causal and stable (b) Determine the output of the filter in response to the input 1 + cos Problem 3 (LSM3) (20 pts) Consider a Butterworth filter of order one with a cutoff frequency of we [rad/sec]. (a) Determine the transfer function H(s) of the Butterworth filter...
QI (a) () Design an active filter using non-inverting amplifier that will produce a frequency response as shown in Figure Ql(a). The bandwidth of the filter is 30 kHz. Use a capacitor value of 10 nF. (9 marks) Draw the circuit and clearly label it. (5 marks) (b) Derive the transfer function of the filter in Q1(b). (6 marks) Av (dB) 28 dB 25 dB - 20 dB/decade + 20 dB/decade - 1 1 35 kHz 40 kHz Figure Qi(a)...
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 1.(10pts) A first-order highpass...
(2)Find the transfer function Hw). Also obtain the magnitude and phase angle of H(w), and the cutoff frequency. Plot Hw) and the phase angle. What kind of filter is it? 0 + Oro +6 Q1
Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a low-pass first order filter is used, determine the attenuation (Attenuation %, and Attenuation(dB)) of the filtered analog signal at 50, 75 and 200 Hz. (use k -1) o Determine the order of the filter if magnitude ratio of <0.01 is needed at 200 Hz. Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a...