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)
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
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discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.
The words discrete and discreet are pronounced in the same way and share the same origin but they do not mean the same thing. Discrete means 'separate,' as in a finite number of discrete categories, while discreet means 'careful and circumspect,' as in you can rely on him to be discreet .
A digital signal is a physical signal that is a representation of a sequence of discrete values (a quantified discrete-time signal), for example of an arbitrary bit stream, or of a digitized (sampled and analog-to-digital converted) analog signal. The term digital signal can refer to either of the following:any continuous-time waveform signal used in digital communication, representing a bit stream or other sequence of discrete valuesa pulse train signal that switches between a discrete number of voltage levels or levels of light intensity, also known as a line coded signal or baseband transmission, for example a signal found in digital electronics or in serial communications, or a pulse code modulation (PCM) representation of a digitized analog signal.A signal that is generated by means of a digital modulation method (digital passband transmission), to be transferred between modems, is in the first case considered as a digital signal, and in the second case as converted to an analog signal.
A discrete random variable (RV) can only take a selected number of values whereas a continuous rv can take infinitely many.
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.