Convolutional Codes

  • Orhan Gazi


Channel codes can be divided into two main categories. One is the block codes, and the other is the convolutional codes. In the previous chapters, we studied the block codes in details. In this chapter, we will explain different types of error-correcting codes which are convolutional codes. Convolutional codes as their names imply are types of codes based on the convolutional operation. There are fundamental differences between convolutional and block codes. For block codes, we have definite code-word lengths; however, for convolutional codes, the length of the code-words is not a fixed number. Convolutional encoder circuits are constructed using memory elements such as flip-flops. In this chapter, we provide information about convolutional encoding and decoding operations. The impulse responses of the convolutional encoders are inspected in details. We also considered the generator and parity check matrices of the convolutional codes. The Viterbi decoding of convolutional codes is explained in a clear manner.


Convolutional codes Impulse responses State diagram Trellis diagram Viterbi decoding 

Supplementary material


  1. S. Gravano, Introduction to Error Control Codes (Oxford University Press, Oxford, 2001)Google Scholar
  2. S. Li, D.J. Costello Jr., Error Control Coding (Prentice Hall, Englewood Cliffs, 2004)Google Scholar
  3. S.B. Wicker, Error Control Systems for Digital Communication and Storage (Prentice Hall, Englewood Cliffs, 1995)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Orhan Gazi
    • 1
  1. 1.Electronic & Communication Engineering DepartmentCankaya UniversityAnkaraTurkey

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