ROC

Consider the infinite-length, discrete-time sequence x[n] = 0.9|n|, where n is an integer. The region of convergence of its Z-transform X(Z) is given by: (Note: z is a complex vari...

The bilateral z-transform of a discrete-time signal x[n] is X(z) = (1-a^2) / ((z-a)(z^-1 - a)) with 0 < a < 1, and the region of convergence a < |z| < 1/a. Let u[n] be the discrete...

If u(t) is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal x(t) = e^(t^2) [u(t − 1) – u(t − 10)] is

If $u(t)$ is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal $x(t) = e^{t^2}[u(t-1)-u(t-10)]$ is

The Z-transform of a discrete signal x[n] is $X(z) = \frac{4z}{(z-\frac{1}{2})(z-\frac{2}{3})(z-3)}$ with ROC = R. Which one of the following statements is true?

Consider a discrete time signal given by x[n]=(-0.25) n u[n]+(0.5) n u[-n-1] The region of convergence of its Z-transform would be

If $$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/2} \right)^n}\,u\left[ n \right],$$ then the region of convergence $$(ROC)$$ of its $$Z$$-transform...