6 Given the input of system x(t) = 2elt and transfer function H(w) = what will...
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
Alinear system has the block diagram: x(t) yệt) *h(t) x(t) is the input to the system and h(t) is the impulse response of the system: x(t) = cos(2 nt) - cos(3 tt) h(t) = 4 sinc(2t) cos(2 st) Find the output signal y(t). Explain how you calculated the output to get the full credit. Partial credits will be given for X(jw) and H(jw).
the subject is in digital signal processing 5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
Sketch the approximate Bode plot (magnitude and phase) of the transfer function (jw) H(W) = (w + 1) (w + 2)2
11.8 A linear system has a transfer function given by H(W) + 15w+50 Determine the power spectral density of the output when the input function is a. a stationary random process X(t) with an autocorrelation function, Rxx(t)=10e ! b. white noise that has a mean-square value of 1.2 V/Hz
Using () as the input and vo(t) as the output of the system, calculate the transfer function H(s), the impulse response h(t) vi Vo and the frequency response H(ia for the system shown in Figure 1 below. Plot (by hand or in Matlab) the asymptotic gain and phase of H(jw) Figure 1: Circuit for problem 1
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()] (10%) (a) Obtain the energy spectral density G,(f) for the input signal x(t) (10%) (b) Obtain the energy spectral density G.(f) for the output signal y(t) 6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()]...
2. For an LTIC system with transfer function: jw+1)jw+2) Find the (zero-state) response y(t), if the input f0) are: (a). 2e u(t
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
singal and system QUESTION 5 [20 marks] Given transfer function of a networks H(s) transfer function at w = 1000 rad/s. $10+ 52 +10005+7x106 - Evaluate the [10 marks) b) Simplify and obtain the frequency response (magnitude and phase plots) of the 100(5+10) following transfer function H(s) s+10000 [6 marks] Sketch the magnitude and phase plots from (b) using Bode Plot Technique. [4 marks]