Signals Basic operations
Signals and Systems Tutorial
Basic signal operations
There are two variable parameters in general:
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.
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 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,
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:
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.
x (-t) is the time inversion of the signal x (t).