Communications Blockset™

Differential Encoder - Encode binary signal using differential coding

Library

Source Coding

Description

The Differential Encoder block encodes the binary input signal. The output is the logical difference between the present input and the previous output. More specifically, the input and output are related by

d(t₀) = m(t₀) XOR Initial condition parameter value

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

where

m is the input message
d is the differentially encoded output.
t_k is the kth time step.
XOR is the logical exclusive-or operator.

The input can be either a scalar, a vector, or a frame-based matrix. This block processes each vector element independently.

Dialog Box

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

References

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

Pair Block

Differential Decoder

Discrete-Time Eye Diagram Scope