0 0 votes The $\text{Z}$-transform of a discrete signal $\text{x[n]}$ is $\text{X(z)}=\frac{4 z}{\left(z-\frac{1}{5}\right)\left(z-\frac{2}{3}\right)(z-3)}$ with $\text{ROC=R}$ Which one of the following statements is true? Discrete-time Fourier transform of $\mathrm{x}[\mathrm{n}]$ converges if $\text{R}$ is $|z|>3$ Discrete-time Fourier transform of $\mathrm{x}[\mathrm{n}]$ converges if $\text{R}$ is $\frac{2}{3}<|z|<3$ Discrete-time Fourier transform of $\mathrm{x}[\mathrm{n}]$ converges if $\text{R}$ is such that $ \mathrm{x}[\mathrm{n}]$ is a left-sided sequence Discrete-time Fourier transform of $\mathrm{x}[\mathrm{n}]$ converges if $\text{R}$ is such that $ \mathrm{x}[\mathrm{n}]$ is a right-sided sequence Signals and Systems gate2023-ee signals-and-systems transform-theory + – admin 597 views answer comment Share Follow 0 reply Please log in or register to add a comment.
