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What would be the unilateral laplace transform of rect(t/2)? We know that rect(t/2) can be written as u(t+1)-u(t-1).So what would be its unilateral laplace transform? Should it be (exp(s)/s)-(exp(-s)/s)? Or should we ignore the negative portion of the signal as in unilateral laplace transform the lower limit of the laplace integral starts from 0?

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This is my definition of the rectangle function followed by the graphic representation and the Laplace transformation. (Varying the constant "risingedge" varies the position of the rectangle on the x-axis, "width" is the duration of the pulse). enter image description here

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