Inverse Laplace transformation

Using Matlab residue command compute the Inverse Laplace transformation: s+2/(s^2+4s+12)

Determine if the following signals are linear, time invariant, causal, and/or memoryless.

I need to confirming some answers I have for the questions in the document. Thanks.

Create and analyze continuous and discrete-time signal using MATLAB

See attached file for full description: Activity 1: Consider the discrete-time signal: x[n] = sin(2*pi*Mn/N), and assume N = 12. For M = 4, 5, and 10, plot x[n] on the interval 0 =< 0 < = 2n – 1. Use stem in Matlab to create your plots, and be sure to approximately label your axes. Questions: What is the fundamental period of each signal? Activity 2: Consider the following two signals: x1[n] = cos(2*pi*n/N) + 2cos(3*pi*n/N) x2[n] = cos(pi * n^2/2), And assume N = 6 for signal x1[n]. Plot each signal separately for the interval of 0 =< n < = 24. Use stem and label your axes. Questions: are the signals periodic? Explain. Activity 3: Consider the following continuous signal: x... click for more

Determine if x(t) = cos(8t) + 4sin(8t) is periodic; if periodic, calculate the period.

Please help. Here is a set of multiple choice questions from my signal processing class. I am having problems understanding this class. Need any kind of help and/or explanation of problems. Please see the attached file. ________________________________________ 1) Determine if x(t) = cos(8t) + 4sin(8t) is periodic; if periodic, calculate the period. not periodic periodic, π/2 periodic, π/4 periodic, π/8 ________________________________________ 2) Solve the differential equation: dy(t) ________________________________________dt - 3y(t) = 4x(t); x(t) = u(t), y(0) = 2 4 ________________________________________3 + 2e3t ... click for more

Fourier transform

Please see the attached file and include an explanation of problem. Thank you. 1. Compute the Fourier transform for x(t) = texp(-t)u(t) 2. The linearity property of the Fourier transform is defined as: 3. Determine the exponential Fourier series for: 4. Using complex notation, combine the expressions to form a single sinusoid for: cos(10t+ pi/2) + 2cos(10t - pi/3) 5. The polar notation for the function 1 + e^(j4) is: 6. The duality property of the Fourier transform is defined as: 7. A continuous time signal x(t) has the Fourier transform: x(w) = 1/(jwW +b), where b is a constant. Determine the Fourier transform for v(t) = t^2*x(t). 8. Compute the inverse Fourier tran... click for more