The original signal below is filtered by the following causal LTI systems System )+yt)) System 2...
A causal LTI system has the signal flow graph shown in Fig. 5. Answer the following related questions. x[n] 0.5 yin] 5 Fig. 5 a) Determine the difference equation of the above system. b) Determine the system function H(-) of the above system. c) Draw the direct form I signal flow graph implementation of the above system using the difference equation obtained from part (a). d) Which signal flow graph is better for implementation (the one in Fig. 5, or...
2.38. Draw block diagram representations for causal LTI systems described by the fol- lowing difference equations: (b) y[n] y[n-1] + x[n-1] 2.39. Draw block diagram representations for causal LTI systems described by the fol- lowing differential equations: (a) yt)--G)dy(t)/dt +4x() (b) dy(t)/dt+3y(t) = x(t)
discrete time signals and systems causal LTI system has the block diagram: (a) find a difference equation relating y[n] and x[n] (b) determine if the system is stable // هبه ۸[u] [u]x
2. Consider the causal LTI system in which the input x(t) and output y(t) are related through the following block diagram respresentation: x(t) y(t) + 1/s # 7 -5 1/s 10 6 a. Find the system function. (2.5 points). b. Determine the differential equation relating y(t) and x(t). (2.5 points). c. Show that this system can be realized as a cascade interconnection of four first order subsystems. Give the system function for each subsystem, and sketch the block diagram of...
Please answer the signals and systems question clearly :) Assume the following LTI system and the input signal whose spectrum depicted below 2. x(t) Y(o) H(a) X(a) 2π 2π 3TT 3π Find x(t), Y(ω), and y(t) for each of the following filters. 3 2 0 2 f)
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
oints, 2each] For the following systems, classify each system as causal/non-causal, and invertible/noninvertible system. Explain your answer? a) y(t) In(x(t -2)), x(t) is real b) y(t)21x(t +2) Solution:
LTI Systems and Discrete-Time Fourier Series-1 Problem Statement Consider a causal discrete-time LTI system whose input r[n] and output yinl are related by the following equation: Find the Fourier series representation of the output y[n] for (b) ncos()
An LTI system has the signal flow graph shown below. Answer the following related questions. .3 a) Determine the relation(i.e., difference equation) between x[n] and w[n] b) Determine the relation (i.e., difference equation) between win] and y[n] c) Determine the difference equation of the above system (i.e., overall system) d) Determine the system function of the overall system. Plot the pole-zero diagram. If this is known to be a non-causal and non-stable system, indicate the ROC. e) Draw the direct...
number 2 ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the...