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Signals and Systems by Smarajit Ghosh

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EXERCISES

 

Q1. Find the Laplace transform of the following:

  1. 2 cos 5ωt + 4 sin 5ωt
  2. e−2t u(t) for t ≥ 0
  3. image

Also find the ROC of the above cases.

[Ans.: (i) image ROC: σ < 0 (ii) image, ROC: σ > −2 (iii) image, ROC: α < σ > β]

Q2. Find the Laplace transform of f (t) = e−5tu(−t) + te−7tu(t) if it exists. Find the ROC also if it exists.

[Ans.: LT Exists ROC: −7 < σ < −5] ...

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