11-9 A third order low-pass filter has transmission zero at ?-2 rad/s and ? =oo. Its...
4. A third-order low-pass filter has transmission zeros = 2 rad/s and w= .. Its natural modes (poles) are at s= -1 and -0.54j0.8. The dc gain is unity. Find T(S). Also draw probable bode plot T(s).
1/ A fourth-order filter has zero transmission at ω = 0, ω = 2 rad/s, and ω =∞. The natural modes are –0.1 ± j0.8 and –0.1 ± j1.2. Find T(s).
Design a second-order Butterworth low-pass filter to satisfy the specifications a. The dc gain is unity (zero dB); b. The gain is no smaller than -1 dB for frequencies between 0 and 2,000 Hz; and c. The gain is no larger than -40 dB for frequencies larger than 40 kHz. Determine a circuit realization as a series RLC low-pass filter. Pick reasonable values of R, L, and C. Design a second-order Butterworth low-pass filter to satisfy the specifications a. The...
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...
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...
1. a. Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s b. Confirm by plotting the magnitude & phase of the transfer function. 2. Design a 5th order low pass butterworth filter with wc = 1 rad/s. Use this equation for both problems. (jo) (jo)
own in the following figure. 1- A certain low-pass filter has the Bode diagram sh (a) How many dB down is the filter at 5000 rad/s? (b) Estimate where the cutoff frequency occurs, then determine how many dB down is the r at one decade after the cutoff frequency? T(jo)l 20 0.2 o (rad/s) 0.02 1000 500010000 100 10
2. By applying Bode plot approximations, sketch the response of each filter, and hence complete the Table below. Filter Type Order Cut-off Frequency High Passsecond 120kHz Low Pass fourth 2250Hz 400Hz Gain in Stop Band Pass-Band Gain OdB Gain at 15kHz Gain at 18kHz = ? Gain at 50Hz-18dB Gain at 15Hz = ? Gain at 64kHz ? Gain -60dB at 50kH:z 6dB OdB OdB High Pass Band Pass fourth 60Hz, 4kHz 12dB Low Pass sixth 1? 2. By applying...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
Learning Goal: To analyze and design a passive, first-order low-pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a low-pass...