Find out the laplace transform of the above signals

Assignment Help Electrical Engineering

Reference no: EM13138651

Laplace and Fourier transform of a Signal

Any causal signal x(t) having a Laplace transform with poles in the open-left s-plane (i.e., not including the j? axis) has, as we saw before, a region of convergence that includes the j? axis, and as such its Fourier transform can be found from its Laplace transform. Consider the following signals:
x1(t) = e^-(2t) * u(t)
X2(t) = r(t)
x3(t) = x1(t) * x2(t)

a. Determine the Laplace transform of the above signals (use properties of the Laplace transform) including the corresponding region of convergence.

b. Determine for which of these signals you can find its Fourier transform from its Laplace transform. Explain.

c. Give the Fourier transform of the signals that can be obtained from their Laplace transform.

Reference no: EM13138651

Questions Cloud

Christianity transition from persecution : In the 4th century, Christianity transitioned from being a persecuted minority of the population to the offical state religion of the Roman Empire.

Historical importance of jesus of nazareth : How did the Jews see the Roman occupation of Judea? Which were the most important rebellious movements against Roman occupation?

Prepare a memo for your firm client files : Jonas, the sole shareholder of Emerald Corporation, wants to better understand the implications of this adjustment for E & P purposes, as he anticipates a distribution from Emerald in the current year. Prepare a memo for your firm's client files ..

Effect of high inherent risk on the amount of audit : What is the effect of high inherent risk on the amount of audit work required? Answer the same question for high control risk and high acceptable audit risk.

Find out the laplace transform of the above signals : Determine the Laplace transform of the above signals (use properties of the Laplace transform) including the corresponding region of convergence.

Accumulated depreciation against the gross carrying amount : Assume Candy Company accounts for accumulated depreciation by eliminating the accumulated depreciation against the gross carrying amount of the asset and restating the net amount to the revalued amount of the asset.

What is the length of the box : an electron is confined to a one dimensional box of length l it falls from the second energy level to the ground state and releases a photon with a wavelength of 322 nm. what is the length of the box

Church and heliocentric theory : Search out a primary source on the Web and find what you believe to be an interesting reason the Church has given for accepting the heliocentric theory.

Proportion of time is machine down due to type one failure : What proportion of time is the machine down due to a type 1 failure? What proportion of time is the machine down due to a type 2 failure? What proportion of time is it up?

User Account

All Pages