Continuous time Signal

 continuous-time signal is a varying quantity (a signal) whose domain, which is often time, is a continuum (e.g., a connected interval of the reals). That is, the function’s domain is an uncountable set. The function itself need not to be continuous.

  • The continuous-time signal is an analog representation of a natural signal.
  • Continuous-time variable is denoted by  letter t.
  • The continuous-time signal can be I converted into discrete-time signal by the Euler’s method.
  • The conversion of continuous to discrete time signal is comparatively easy than the conversion of discrete to continuous-time signals.
  • The value of the signal can be obtained at any arbitrary point of time.
  • It is defined over a finite or infinite domain of sequence.
  • The continuous-time signals are not used for the processing of digital signals.

Discrete time Signal

 Discrete-time signal is a time series consisting of a sequence of quantities.

  • The discrete-time signal is a digital representation of a continuous-time signal.
  • Discrete-time variable is denoted by a letter n.
  • Represented by x[n] = [1,2,3,4,5]
  • The discrete -time signal can be converted into continuous-time signal by the methods of zero-order hold or first-order hold.
  • The conversion of discrete to continuous time signals is very complicated and it is done through a sample and hold process.
  • It is defined over a finite domain of sequence.
  • The value of the signal can be obtained only at sampling instants of time.
  • The discrete-time signals are used for the processing of digital signals.

The District Time Signal is represented by  

x[n] = {1,0,1,2,2,1}


The upper arrow is used to show that the value of n is zero(0) at this point.

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