Discrete Time Transformations: DTFS and DTFT

  • Apurba Das
Part of the Signals and Communication Technology book series (SCT)


In the subsequent chapters we are going to discuss about the discrete signal conditioning including related transformations both in single dimensional (1D) and two dimensional (2D) signals. The present chapter would emphasize on the fundamental frequency domain representations in discrete time domain. Fourier series and transform would be here illustrated for discrete time signals. They will be named as Discrete Time Fourier Series (DTFS) and Discrete Time Fourier Transform (DTFT), for sampled periodic and non-periodic signals (or sequences) respectively. The process of sampling, properties of its spectra, aliasing, concept of analog and digital frequencies and their mathematical relationships are discussed in a non-conventional way mostly using "convolution".


Fourier Series Expansion Digital Frequency Discrete Time Signal Successful Reconstruction Discrete Time Domain 
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    Das, A.: Line Communication System—A Telecommunication Switching Approach, 2nd edn. New Age International Publishers, New Delhi (2010a)Google Scholar
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    Das, A.: Digital Communication—Principles and System Modeling. Springer-Verlag, London (2010b)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Image Processing Lab CDAC, KolkattaMinistry of Communication and ITKolkattaIndia
  2. 2.Imaging Tech Lab, Engineering and R&DHCL Technologies Ltd.ChennaiIndia

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