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PRESENTATION (SIGNAL AND SYSTEM)
MALIK MUSTAFA RAZA
17MDELE0432
ELECTRICAL POWER
• Signals are variables that carry information.
• It is described as a function of one or more independent
variables.
• Basically it is a physical quantity. It varies with some
independent or dependent variables.
• Signals can be One-dimensional or multidimensional.
Signal
1. Continuous-time and discrete-time signals
2. Periodic and non-periodic signals
3. Casual and Non-casual signals
4. Even and odd signals
Classification of signals
• CT signals take on real or complex values as a function of an
independent variable that ranges over the real numbers and are
denoted as x(t).
• DT signals take on real or complex values as a function of an
independent variable that ranges over the integers and are
denoted as x[n].
• Note the subtle use of parentheses and square brackets to
distinguish between CT and DT signals.
Continuous time (CT) & discrete time (DT)
signals:
• Periodic signals have the property that x(t + T)
= x(t) for all t.
• The smallest value of T that satisfies the
definition is called the period.
• Shown in the next slide are an non-periodic
signal and a periodic signal .
Periodic and Non Periodic signal:
EXAMPLE OF PERIODIC AND NON PERIODIC
SIGNAL:
• A causal signal is zero for t < 0.
• An noncausal signal is zero for t > 0
Causal &Non-causal Signals:
• Even signals xe(t) and odd signals xo(t) are defined as
xe(t) = xe(− t) and xo(t) = −xo (− t) .
• Any signal is a sum of unique odd and even signals .
Using x(t) =xe (t) + xo(t) and
x(− t) = xe(t)−xo(t) ,
yields xe(t) = 0.5 (x(t) + x(− t)) and
xo(t) =0.5(x(t)−x(− t)) .
EVEN AND ODD SIGNALS:
EVEN AND ODD SIGNALS EXAMPLE:
THANK YOU.

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Signals and their Classifications

  • 1. PRESENTATION (SIGNAL AND SYSTEM) MALIK MUSTAFA RAZA 17MDELE0432 ELECTRICAL POWER
  • 2. • Signals are variables that carry information. • It is described as a function of one or more independent variables. • Basically it is a physical quantity. It varies with some independent or dependent variables. • Signals can be One-dimensional or multidimensional. Signal
  • 3. 1. Continuous-time and discrete-time signals 2. Periodic and non-periodic signals 3. Casual and Non-casual signals 4. Even and odd signals Classification of signals
  • 4. • CT signals take on real or complex values as a function of an independent variable that ranges over the real numbers and are denoted as x(t). • DT signals take on real or complex values as a function of an independent variable that ranges over the integers and are denoted as x[n]. • Note the subtle use of parentheses and square brackets to distinguish between CT and DT signals. Continuous time (CT) & discrete time (DT) signals:
  • 5.
  • 6. • Periodic signals have the property that x(t + T) = x(t) for all t. • The smallest value of T that satisfies the definition is called the period. • Shown in the next slide are an non-periodic signal and a periodic signal . Periodic and Non Periodic signal:
  • 7. EXAMPLE OF PERIODIC AND NON PERIODIC SIGNAL:
  • 8. • A causal signal is zero for t < 0. • An noncausal signal is zero for t > 0 Causal &Non-causal Signals:
  • 9. • Even signals xe(t) and odd signals xo(t) are defined as xe(t) = xe(− t) and xo(t) = −xo (− t) . • Any signal is a sum of unique odd and even signals . Using x(t) =xe (t) + xo(t) and x(− t) = xe(t)−xo(t) , yields xe(t) = 0.5 (x(t) + x(− t)) and xo(t) =0.5(x(t)−x(− t)) . EVEN AND ODD SIGNALS:
  • 10. EVEN AND ODD SIGNALS EXAMPLE: