0 0 votes Let $x_{c}(t)$ be any continuous-time periodic signal with period $T$. It is sampled uniformly with a sampling period $T_{S}$ where $T_{S} \neq T$, resulting in the discrete sequence$x[n]=x_{c}\left(n T_{s}\right)$, where $n$ is an integer.Which one of the following statements is correct about $x[n]$?$x[n]$ will always be periodic with period $T / T_{S}$ for all values of $T / T_{S}$$x[n]$ will always be periodic with period 1 for all values of $T / T_{S}$$x[n]$ will never be periodic$x[n]$ will be periodic if and only if $T / T_{S}$ is a rational number Signals and Systems gate2026-ee signals-and-systems sampling-theorem discrete-time-signal periodic-functions + – gatecse 103 views answer comment Share Follow 0 reply Please log in or register to add a comment.
