it is Linear Systems Analysis class
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it is Linear Systems Analysis class 1.4-1 Sketch the signals (a) u(t-5)-uſt-7)(b) uſt-5)+u(t-7) (c) lu(t-1)-ut-2)] (d)...
Linear systems 2
Sketch the following signals, (a) u(n +2) - u(n-3) (b) 3.3-3 (d) (c) nn(n) , for =-0.9 and γ = 1.1.
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt...
Problem 2 ( 50 points) You are given functions x(t) = u(t)-ut-1/2) and y(t) = e(ult) -uſt-1)). 1. Sketch a(t) and y(t). (10 points) 2. Use time-domain integration to find the convolution z(t) = x(6) *y(t). (20 points) 3. Find Zw) using any method of your choice (20 points)
DIFFERENTIATION: For the signals x(t) in Problems (1-2), (a) Compute the fomula for and (b) sketch the signal's derivative x'(t) = x(t). If necessary, use the Differentiation Product Rule: (f.g)' = fg + fig', or "RUD", e. g u (t) = 8(t). In your plots, label both axes, and indicate key values of time and amplitude. (1) X(t) = 4 rect ). (Hint: express rect(t/10) in terms of the difference of Two unit step functions.) ( 10 points) (2) X(t)...
5.5 Starting with the Fourier transform pair 2 sin(S2) X(t) = u(t + 1) – ut - 1) = X(92) = S2 and using no integration, indicate the properties of the Fourier transform that will allow you to compute the Fourier transform of the following signals (do not find the Fourier transforms): (a) xz(t) = -u(t + 2) + 2u(t) – u(t – 2) (b) xz(t) = 2 sin(t)/t (C) X3 (t) = 2[u(t + 0.5) - ut - 0.5)]...
Sketch the graph of the function below and determine its Laplace transform. uſt-6) -ut-10) Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. Sketch the function's graph. Choose the correct answer below. OA Oc OD A910 OB Agro 3 910 4910 3 @ O 0 12 OP Determine the Laplace transform zut-6) - u-101-0 Express the function below using window and step functions and compute its Laplace transform. Ag(t)...
Sketch the graph of the function below and determine its Laplace transform. u(t-1)-u(t-5) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Sketch the function's graph. Choose the correct answer below. XA OB. 3.49t) 3.1900) © LOTTOTTTTT 12 Toy Hot TOT Too 12 Determine the Laplace transform. L{uſt - 1) –uſt – 5)/(s) =D
7) Let f(t) = u(t - Ta) - ut - 27.) a) Sketch f(t) with proper amplitude vs. time labels b) Now rewrite f(t) in terms of (8) "delta" functions 8) Suppose F(s) *+1) What is the value of f(t) at time t = 0-?
it is Linear Systems Analysis class
1.7-8 For the systems described by the equations below, with the input (1) and output y(t), determine which of the systems are invertible and which are noninvertible. For the invertible systems, find the input-output relationship of the inverse system (a) y(t) = [ f(t)dr (b) y(t) = f(3-6) (c) y(t) = {"(t) n, integer (d) y(t) = cos(/(t))
A CT window signal is given as x(t) = u(t+4) – uſt-4) The frequency response of a CT LTI system is a given as H(jw) = {2e-jw 1w 5 31/16 HV) 0 otherwise if xz(t) = x(t)* 8(t - 16k) is applied to this CT LTI system, k=-00 a) Sketch the magnitude spectrum of the output. b) Sketch the phase spectrum of the output. c) Give the mathematical expression for the output y(t)