sum from{-infinity } to{infinity } ({1} over {2 * pi } )(int (abs{X(func e^{jw})})^2 )dw
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A signal which repeats itself after a specific interval of time is called periodic signal. A signal which does not repeat itself after a specific interval of time is called aperiodic signal.A signals that repeats its pattern over a period is called periodic signal,A signal that does not repeats its pattern over a period is called aperiodic signal or non periodic.Both the Analog and Digital can be periodic or aperiodic. but in data communication periodic analog sigals and aperiodic digital signals are used.
In signal processing, sampling is the reduction of a continuous signal to a discrete signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal).
By definition a continuous signal is just that continuous to have no amplitude is to mean it doesn't exists
An analog signal is one which is continuous in time as well as continuous in amplitude . Example : sine wave, cosine wave. An Digital signal is one which is continuous in discrete in time. Example : square waves.
we often confuse our-self with continuous time and analog signals. An analog signal is a signal which can take any amplitude in continuous range that is signal amplitude can take infinite values on the other hand a digital signal is one whose amplitude can take only finite numbers of values THE TERM CONTINUOUS SIGNAL AND DISCRETE SIGNAL CLASSIFY THE SIGNALS ALONG THE TIME (i.e. horizontal axis) where as THE TERM ANALOG AND DIGITAL SIGNAL CLASSIFY THE SIGNAL ALONG THE AMPLITUDE (i.e vertical axis)