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����PRESENTATION ON �DISCRETE TIME SIGNAL

  • BRANCH-E & TC ENGG
  • SUBJECT- DIGITAL SIGNAL PROCESSING
  • CHAPTER – 2 – DISCRETE TIME SIGNAL & SYSTEM
  • TOPIC- DISCRETE TIME SIGNAL
  • SEM-6TH
  • FACULTY – Er. ARADHANA DAS (Sr. LECTURER E & TC ENGG DEPARTMENT)
  • AY-2021-2022, SUMMER-2022

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Discrete-Time Signals:�Time-Domain Representation

  • Signals represented as sequences of numbers, called samples
  • Sample value of a typical signal or sequence denoted as x[n] with n being an integer in the range
  • x[n] defined only for integer values of n and undefined for noninteger values of n
  • Discrete-time signal represented by {x[n]}

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Discrete-Time Signals:�Time-Domain Representation

  • Here, n-th sample is given by

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  • The spacing T is called the sampling interval or

sampling period

  • Inverse of sampling interval T, denoted as , is called the sampling frequency:

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Discrete-Time Signals:�Time-Domain Representation

  • A discrete-time signal may be a finite-length or an infinite-length sequence
  • Finite-length (also called finite-duration or finite-extent) sequence is defined only for a finite time interval:

where and with

  • Length or duration of the above finite-length sequence is

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Discrete-Time Signals:�Time-Domain Representation

  • A left-sided sequence x[n] has zero-valued samples for

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  • If a left-sided sequence is called a anti-causal sequence

A left-sided sequence

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THANK YOU

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