time-shifting-property

The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z 2 . If y[n] is the first difference of x[n], then Y(Z) is given by

Let the Laplace transform of a function f(t) which exists for t > 0 be F 1 (s) and the Laplace transform of its delayed version f(1 - $$\tau$$) be F 2 (s). Let F 1 * (s) be the com...

Let x(t) be a periodic signal with time period T. Let y(t) = x(t - t 0 ) + x(t + t 0 ) for some t 0 . The Fourier Series coefficient of y(t) are denoted by b k . If b k =0 for all...

The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is

The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.