The elementary signals are used for analysis of systems. Such signals are,
· Step
· Impulse
· Ramp
· Exponential
· Sinusoidal

**Elementary Signals:**

The
elementary signals are used for analysis of systems. Such signals are,

·
Step

·
Impulse

·
Ramp

·
Exponential

·
Sinusoidal

**1. Unit step signal:**

·
Unit Step Sequence: The unit step signal has
amplitude of 1 for positive value and amplitude of 0 for negative value of
independent variable.

·
It have two different parameter such as CT unit
step signal u(t) and DT unit step signal u(n).

·
The mathematical representation of CT unit step
signal u(t) is given by,

**2. Ramp Signal:**

·
The amplitude of every sample is linearly increased
with the positive value of independent variable.

·
Mathematical representation of CT unit ramp signal
is given by,

**3. Unit impulse function:**

Amplitude
of unit impulse approaches 1 as the width approaches zero and it has zero value
at all other values.

The
mathematical representation of unit impulse signal for CT is given by,

It is
used to determine the impulse response of system.

**4. Sinusoidal signal:**

A continuous time sinusoidal signal is given
by,

**5. Exponential signal:**

·
It is exponentially growing or decaying signal.

·
Mathematical representation for CT exponential
signal is,

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