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Decoding the transmission

Since the receiver has full knowledge of all the steps taken to transmit, the reception process is the exact inverse of transmission. The only difference is the addition of the channel equalization described in the previous part. To get back the information we originally sent, we simply:

  • Take the FFT of the reception and divide it by the FFT of the impulse response. Then iFFT it back.
  • Remove the cyclic prefix
  • Take the Fourier Transform
  • Demirror the vector
  • Approximate each received value to nearest point in constellation and map them back to the original bit sequences. See figure below for example in 4 bit approximation.
  • Convert the binary series back to ascii letter equivalents.

Approximation of constellation map

constellation.
The map on the left was approximated to the one on the right with a 2.15% percent error.

Please see the block diagram below. It summarizes the reception process.

Receive block diagram

Receive block diagram.
This diagram shows the all of the components and flow of our receiver system.

Questions & Answers

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classification of plants, gymnosperm features.
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In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
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Definition of respiration
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respiration is the process in which we breath in oxygen and breath out carbon dioxide
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in the mouth
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Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
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Biology is the study of how living organisms live and survive in a specific environment
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Source:  OpenStax, Discrete multi-tone communication over acoustic channel. OpenStax CNX. Dec 16, 2009 Download for free at http://cnx.org/content/col11146/1.1
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