Periodicity

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[...

The period of the discrete-time signal x[n] described by the equation below is N = ____________ (Round off to the nearest integer). x[n] = 1 + 3sin($\frac{15\pi}{8}n + \frac{3\pi}{...

The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the nearest integer). $$x[n] = 1 + 3\sin \left( {{{15\pi } \over...

The discrete time Fourier series representation of a signal x[n] with period N is written as $$x[n] = \sum\nolimits_{k = 0}^{N - 1} {{a_k}{e^{j(2kn\pi /N)}}} $$. A discrete time pe...