COMBINATIONS OF DISCRETE TIME FUNCTIONS

Discrete Time Unit Impulse Applied at the Origin

The Discrete Time Unit Impulse applied at the origin is represented by δ(k). It is defined as:

It is graphically represented as:

Discrete Time Unit Step Applied at the Origin

The Discrete Time Unit Step applied at the origin is represented by u_-1(k). It is defined as:

It is graphically represented as:

Discrete Time Unit Ramp Applied at the Origin

The Discrete Time Unit Ramp applied at the origin is represented by u_-2(k). It is defined as:

It is graphically represented as:

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COMBINATIONS OF DISCRETE TIME FUNCTIONS

THE THREE FUNCTIONS

Three Discrete time functions are used is Signals & Systems, Control Systems, Electric Circuits and other related areas. They are:

Discrete Time Unit Impulse Applied at the Origin

In case you do not remember the function definition, click on the magnifying glass.

Discrete Time Unit Step Applied at the Origin

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Discrete Time Unit Ramp Applied at the Origin

In case you do not remember the function definition, click on the magnifying glass.

The three functions can be combined to generate new ones. The resulting functions can make it easier to perform some computations.

The object presents a tool to compute new functions using the three that were defined. The following section introduces the syntax for the combinations to be performed.