signals and systems. please solve all parts of the question. Problem 1 (150 Points) 1) Determine...
Signals and Systems 2. The pole-zero diagram below has 2 zeros at the origin and 2 poles to represent a system A(s). Pole-Zero Map (-0.5, +1) X d Imaginary Au (-0.5, -1) X RealAxis con Is this a stable system? Explain. Write an exact simplified expression for A(s). A(s) = 3. A system has impulse response h(t)= u(t) A e' where A and B are positive constants. Write an exact simplified expression for H(S).
SIGNALS and SYSTEMS HOMEWORK-IV 1. Let X(t) be the input to an LTI system with unit impulse response h(t), where x(t) = e-tu(t) h(t) = u(t -3). Determine and plot the output y(t) = x(t) *h(t). Both analytically and graphical method. (25 p)
signals and systems How to solve if coefficients are: A= -2 B = 1 C = 2 zBzC (b) (24 points) For the additional information given in each case below, determine the output ya for all n. (i) The system is causal and ipatn Inl (ii) The system is stable and input z--1 ii) The system is causal and stable, while the (bilateral) a-transform of input n has ROC of al<1 In (c) (8 points) For the (non-causal) system implied...
Hello, Can anyone help me with these questions from signals and systems course? Thank you in advance??♀️ Problem 1 [25 points : Consider the following periodic signal x(t). Determine the Fourier series coefficients, ak nu Problem 2 [25 points : Determine the Fourier series coefficients, ax and the average power for the periodic signal x(t) shown. -2 -1 1 2 Problem 350 points: Let x(t) be the input signal to an LTI system with impulse response h(t) and let y(t)...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Also, solve the following problem. Consider a system made by cascading two LTI systems. The first system is described by y[n] = x [n] – ax (n – 3]. The second has impulse response h (n] = {po aP [n – 3p] with ( < a < 1. Find the impulse response of the overall system.
2.45,2.48 explain clearly please Signals and Systems: A Primer with MATLAB 104 20 1H y(t) x(t) FIGURE 2.38 For Problem 2.48. 2.45 An accumulator has impulse response h[n] = u[n]. Check if an accumulator is BIBO stable 2.46 The input to the circuit discussed in Example 2.15 is v,) ut - )dt - 2) Use convolution to determine the output 2.47 Determine the output of the circuit discussed in Practice Problem 2.15 if v,) u() 2.48 If the filter in...
Please help with parts D, E, and F. Properties are listed below 1-5. (signals and systems course) 1.28. Determine which of the properties listed in Problem 1.27 hold and which do not hold for each of the following discrete-time systems. Justify your answers. In each example, y[n] denotes the system output and x[n] is the system input. (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable x[n], x[n + 1], ns-I xln], n 2 1 x[n], n s...
Please answer all the parts neatly with all details. 3. Assume X1, X2,... are a sequence of i.i.d. random variables having finite first moment, that is, v = E(Xi oo. Let Yn = (|X1| .+ |Xn|)/n. (a) Show that Yn ->v in probability. (b) Show that E(Y,) -- v. (c) Show that E(|X, - /u|) -0 where u = E(X) 3. Assume X1, X2,... are a sequence of i.i.d. random variables having finite first moment, that is, v = E(Xi...
just problem number 4 please! thank you! There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) solve the initial v stability of the critical point at (0,0) 1. alue problem, and (b) determine the type and x' =-4x1 + 5x2 X2,--5x1 + 4x2 x1(0) -16, x2(0) 25. x'= 6x1 + x2 x1(0) 6, X2(0) = 4 2. xi(12345e) 55, X2(12345e)--729 3 xi-43x Xi(-101) = 9, x2(-101) 5 4 x' = 2x1-x2 x2,=...