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Please respond as soon as possible, thank you. An LSI system with system function H(2) =...
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An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
9.28 Consider the LSI system shown in Figure P9.28, whose input is the zero-mean random process W(t) and whose output is the random process X(t). The frequency response of the system is H(w). Given Kww() = 8(T), find H(W) in terms of the cross-covariance K xw (T) or its Fourier transform. Wit) X(t) H (6) Figure P9.28 LSI system with white noise input.
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is modeled as a WSS random process with PSD S,(f). Let Y(t) denote the random noise process at the output of the filter. A linea filsee Figure 1: The Filter. (T) Je Sinc 1. Find the frequency response, H(f), of the filter. 2. If X(t) is a white noise process with PSD No/2, find the PSD of the noise precess Y(t). 2- f 3. Is...
A causal filter H(z) is excited by x(n) which is a white noise signal of zero mean 2 and unit variance. Its output is y(n). (28 points) H(2)05 Z-0.9 Give the autocorrelation of y(n) in closed form. Show all your work Give numerical values for ryy(0).1(1).1(2) a. b. Give the variance of y(n). c. Give the power spectral density (PSD) of y(n). d.
A causal filter H(z) is excited by x(n) which is a white noise signal of zero mean...
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Find the system transfer function of a causal LSI system whose impulse response is given by 2. 0.5)"l sin[0.5(n- 2)]u[n - 2] and express the result in positive powers of z. 72-1 h[n] = Hint: The transfer function is just the z-transform of impulse response. However, we must first convert the power of -0.5 from (n - 1) to (n - 2) by suitable algebraic manipulation
Find the system transfer function of a causal...
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...
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
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QUESTION 2 Given a harmonic input signal of Vin(t) = 5 cos (2t +-0.4), and a filter transfer function of Vout(jo)/Vin(jo) = 4j0/(2+3jo), determine the magnitude of the harmonic output signal, Vout(t). QUESTION 3 Given a harmonic input signal of Vin(t) = 1 cos (4t+-0.9), and a filter transfer function of Vout(jo)/Vin(jo) = 1jw/(5+1jo), determine the phase of the harmonic output signal, Vout(t).
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
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Need the solution with block diagram for v(n) w(n)
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2- Consider the following system: 5 Marks r, vin) Assume that Xe()-0 forl fI> f, and that Hle")- L. How is the output y(n) of the above discrete time system related to the input Xar Let h(n) be the unit sample response of an ideal low pass filter. The figure shown below...