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8) Find the output of an LTI system with the input x(t) with the sampling frequency...
c) An excitation signal x(t) of frequency contents shown below is input to the communication system shown below Find and draw the output signal y(t) or Y(). # if the draw using MATLAB with the code will be better c) An excitation signal x(t) of frequency contents shown below X(@) 2W 2W is input to the communication system shown below e(t) v(t) 0 -3w 3w cos(5wt) coe(3wt) Find and draw the output signal ) or Y(a). c) An excitation signal...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the following Figure. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear vain factors of ar or bi where i is 0,1 or 2. i) Derive the system transfer function H(2). ü) Find the difference equation relating the output y[n] and input x[n]. iii) Given that...
Q5. The measured input-output pair of for an LTI system is observed as follows: LTI system imput: x(t)-1+2cos(t)+5cos (2t)+4cos(t) LTI system output: y(t)-3+cos(t) +6cos(3t) For a new input x(t) = 1+2*cos(t)+5.5*cos(2t)+4*cos(3t), the conrespondding output is observed in the form of y (t)-A+Bcos(t)+Ccos (2t)+Dcos(3t). Determine the values of coefficients of A, B, C, and D A- D- Submit Answer Tries 0/3
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
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]
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Q1) Let X(t) be a zero-mean WSS process with X(t) is input to an LTI system with Let Y(t) be the output. a) Find the mean of Y(t) b) Find the PSD of the output SY(f) c) Find RY(0) ------------------------------------------------------------------------------------------------------------------------- Q2) The random process X(t) is called a white Gaussian noise process if X(t) is a stationary Gaussian random process with zero mean, and flat power spectral density, Let X(t) be a white Gaussian noise process that is input to...
Suppose an LTI system has frequency response . Find the system function . Hint: expand the cosine using Euler's formula and then do a little bit of pattern matching. Will rate your answer as soon as you post it! Hew) = (1 + cos(30)le-jw2 We were unable to transcribe this image
4. LTI Systems and Erponential Response. (12 pts) (a) (2 pts) Suppose an LTI system has input-output relationship y(t) 2r(t+3). What is the transfer function H(jw) of the given system. Show that H(jw)2. Hint: H(jw(tejdt (b) (5 pts) Suppose an LTI system has input-output relationship y(t)2r(t+3) as Problem 4-(a). Find the output y(t) using the complex exponential response method as discussed in lecture for the input r(t) = ej2t + 2 cos2(t). Hint: cos2(0) 1 (20 cos(26) an d 1-ejot...