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Differential Decoder

Decode binary signal using differential coding


Source Coding


The Differential Decoder block decodes the binary input signal. The output is the logical difference between the consecutive input element within a channel. More specifically, the block's input and output are related by

m(i0) = d(i0) XOR Initial condition parameter value

m(ik) = d(ik) XOR d(ik-1)


  • d is the differentially encoded input.

  • m is the output message.

  • ik is the kth element.

  • XOR is the logical exclusive-or operator.

This block accepts a scalar, column vector, or matrix input signal and treats columns as channels.


Initial conditions

The logical exclusive-or of this value with the initial input value forms the initial output value.

Supported Data Type

PortSupported Data Types
  • double

  • single

  • boolean

  • integer

  • fixed-point

  • double

  • single

  • boolean

  • integer

  • fixed-point


[1] Couch, Leon W., II, Digital and Analog Communication Systems, Sixth edition, Upper Saddle River, N. J., Prentice Hall, 2001.

Introduced before R2006a

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