Why call it discrete time signals as difference equations?

1. Why is it called discrete signal?
2. What is a discrete difference equation?
3. What is a discrete time equation?
4. How are discrete time signals classified and differentiate between them?

Why is it called discrete signal?

Discrete Time signals

The signals, which are defined at discrete times are known as discrete signals. Therefore, every independent variable has distinct value. Thus, they are represented as sequence of numbers.

What is a discrete difference equation?

In the case of discrete difference equation models, a number x∗ is called an equilbrium point or fixed point of the difference equation xn+1 = f(xn) if x∗ = f(x∗).

What is a discrete time equation?

Mathematically, we use the notation y = S[x] to denote a discrete-time system S with input signal x[n] and output signal y[n]. Notice that the input and output to the system are the complete signals for all time n.

How are discrete time signals classified and differentiate between them?

Discrete time signals can be classified as follows: Even and odd signals. Periodic and non-periodic signals. Deterministic and random signals.