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Representation of
Signals
Today’s Outline Signal Types of Signal Signal Representation Elementary signals
What is signal?
Signal is a function that conveys information about the behavior or attributes of some phenomenon.
Types of signalTwo main types of signals encountered in
practice. Analog signal Digital Signal
Representation of Different Signals
• Periodic & Aperiodic Signal• Continuous & Discrete Signal• Orthogonal Signal• Even & Odd signal• Power & Energy Signal
Periodic signal Completes a pattern within a
measurable time frame, called a period Repeats that pattern over identical
subsequent periods.
Periodic signal
Aperiodic SignalA signal that does not repeats its pattern
over aperiod is called aperiodic signal or non
periodic
Aperiodic Signal
Continuous Signal Time is a continuum. The function's domain is an uncountable
set. The function itself need not be continuous.
Continuous Signal
Discrete Signal Discrete-time signal is not a function of a
continuous argument. Obtained by sampling from a continuous-time
signal.
Discrete Signal
A signal is referred to as an even if it is identical to its time-reversed counterparts; x(t) = x(-t).
Even signals are symmetric around vertical axis.
Even Signal
Even Signal
Odd Signal A signal is odd if x(t) = -x(-t). An odd signal must be 0 at t=0, in other
words, odd signal passes the origin.
Odd Signal
Power signalA power signal is a signal that has finite power for each point in time.
dttgT
T
TT
2
2
2|)(|01lim
Energy Signal An energy signal has a finite energy. A signal in energy signal if and only if the
condition(0 < E < ∞) is fulfilled.
dttg 2|)(|
Orthogonal Signals Each component signal has no relationship
with others. Orthogonal signal is denoted as φ(t).
Elementary Signals• Unit step function• Ramp function
Unit step function
Ramp function
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