Exponential signal is an example of _________ signal.

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  1. Deterministic and periodic
  2. Deterministic and non-periodic
  3. Random and periodic
  4. Random and non-periodic

Answer (Detailed Solution Below)

Option 2 : Deterministic and non-periodic
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Deterministic signal:

  • A signal is said to be deterministic if there is no uncertainty with respect to its value at any instant of time.
  • The signals which can be defined exactly by a mathematical formula are known as deterministic signals.
  • Example- sin (t), cos (t), eat 

Non-deterministic signal:

  • The behavior of these signals is random i.e. not predictable w.r.t time.
  • There is an uncertainty with respect to its value at any time.
  • These signals can't be expressed mathematically.
  • Example: Thermal Noise generated is a non-deterministic signal.

Periodic signal:

  • A periodic signal is a signal that repeats its values at regular intervals.
  • A periodic is expressed as x(t) = x(t + to)
  • Example- sin (t), cos (t)

Non-Periodic signal:

  • A non-periodic signal is any signal that does not repeat itself after any period of time.
  • Example- speech signal, eat
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