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Please answer all parts thank you 6. [15 POINTS] Consider a passive low-pass filter as shown...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
For the circuit shown below (1) Please derive an expression for the transfer function H(jco)- Vout/Vin. (2) Sketch the corresponding Bode magnitude and phase plots, and please indicate the slope. 50Ω 250 mF 100 Ω 250 mF in out
2. In this problem, we will consider the use of the active filter shown below as the loop filter in an analog PLL. IN VouT (a) Use the ideal model for the op-amp to show that the filter transfer function is F(s)Yot)ST2 +1 Vin(s) ST1 and express the time contants T1 and T2 in terms of R1, R2 and C. Sketch the magnitude Bode plot of the frequency response F(f) for the loop filter, assuming that > T2 Please note:...
For the low-pass filter circuit shown in Fig 2 200mH 3k Ω out in Fig 2 (i) (ii) (iii) Write an expression for the transfer function of the circuit State the value of the dc gain of the filter circuit in dB Calculate the cutoff frequency of the filter b. Sketch the frequency response of the voltage gain and phase shift for the filter shown in Fig 2. Show all the values and required information in both graphs Magnitude Frequency...
6. (15) Consider the following causal linear time-invariant (LTT) discrete-time filter with input in and output yn described by y[n] = x[n] – rn - 2 for n 20 . Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter? Why? • What are the initial conditions and their values for this causal and linear time-invariant system? Why? • Draw the block diagram of the filter relating input x[n) and output y[n] • Derive a formula for...
Please help me solve this question. Thank You. 3. Consider the prototype low-pass Butterworth filter with e=1. a) Determine the pole values and sketch the location of the poles on the s-plane if the filter order N is 3. (5 marks) b) Discuss the technique that can be used to obtain a high-pass filter with arbitrary 6 from the prototype low-pass filter. (5 marks) c) For a high order filter approximating an ideal low-pass filter with a cut-off frequency of...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
Consider the low pass filter RC circuit where Ri+ E E(t) The rise time t, is defined as the time required for a unit step response to go from 10% to 90% of its final value. Show that 0.35 3dB where f3dB-the 3dB bandwidth (in Hz) of the filter 2TTRC
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Show from first principles that the Laplace transform of the function (0)=1, a 20 is f(3) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t): f(t) = e-3t.sin(4t) OR Find the inverse Laplace transform of the following: ses f(s) =...