Representation of signals
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Transcript of Representation of signals
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Representation of
Signals
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Today’s Outline Signal Types of Signal Signal Representation Elementary signals
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What is signal?
Signal is a function that conveys information about the behavior or attributes of some phenomenon.
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Types of signalTwo main types of signals encountered in
practice. Analog signal Digital Signal
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Representation of Different Signals
• Periodic & Aperiodic Signal• Continuous & Discrete Signal• Orthogonal Signal• Even & Odd signal• Power & Energy Signal
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Periodic signal Completes a pattern within a
measurable time frame, called a period Repeats that pattern over identical
subsequent periods.
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Periodic signal
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Aperiodic SignalA signal that does not repeats its pattern
over aperiod is called aperiodic signal or non
periodic
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Aperiodic Signal
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Continuous Signal Time is a continuum. The function's domain is an uncountable
set. The function itself need not be continuous.
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Continuous Signal
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Discrete Signal Discrete-time signal is not a function of a
continuous argument. Obtained by sampling from a continuous-time
signal.
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Discrete Signal
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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
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Even Signal
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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.
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Odd Signal
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Power signalA power signal is a signal that has finite power for each point in time.
dttgT
T
TT
2
2
2|)(|01lim
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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|)(|
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Orthogonal Signals Each component signal has no relationship
with others. Orthogonal signal is denoted as φ(t).
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Elementary Signals• Unit step function• Ramp function
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Unit step function
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Ramp function
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Any Questions ?
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Thank You