# Signals Basic operations

Signals and Systems Tutorial
2020-11-20 02:45:31
# Basic signal operations

There are two variable parameters in general:

- Amplitude
- Time

** The following operation can be performed with the amplitude: **

### Setting amplitude scale

C x (t) is an amplitude scale version of x (t) whose amplitude is scaled 'scale by a factor C.

### Addition

Adding two signals is nothing but adding their corresponding amplitudes. This can be best explained using the following example:

Like shown in the diagram above,

### Subtraction

Subtraction of two signals is nothing more than a subtraction of their corresponding amplitudes. This can be better explained by the examplee next:

As shown in the diagram above,

### Multiplication

The multiplication of two signals is nothing other than the multiplication of their corresponding amplitudes. This can be best explained by the following example:

As shown in the diagram above,

** The following operations can be performed over time: ** ### Time difference

x (t $ pm $ t _{ 0 }) is the time-shifted version of the signal x (t).

x (t + t _{ 0 }) $ at $ negative offset

x (t - t _{ 0 }) $ to $ positive offset

### Mise time scale

x (At) is the time scale version of signal x (t). where A is always positive.

| A | > $ 1 to $ Signal compression

| A | <1 $ signal expansion

Note: scaling times u (at) = u (t) is not applicable for the unit step function.

### Time inversion

x (-t) is the time inversion of the signal x (t).