, where : Manchester code always has a transition at the middle of each bit period and may (depending on the information to be transmitted) have a transition at the start of the period also. The direction of the mid-bit transition indicates the data. Transitions at the period boundaries do not carry information. They exist only to place the signal in the correct state to allow the mid-bit transition.
Conventions for representation of data There are two opposing conventions for the representation of data. The first of these was first published by G. E. Thomas in 1949 and is followed by numerous authors (e.g.,
Andy Tanenbaum). It specifies that for a 0 bit the signal levels will be low–high (assuming an amplitude physical encoding of the data) – with a low level in the first half of the bit period, and a high level in the second half. For a 1 bit the signal levels will be high–low. This is also known as Manchester II or Biphase-L code. The second convention is also followed by numerous authors (e.g.,
William Stallings) as well as by
IEEE 802.4 (token bus) and lower speed versions of
IEEE 802.3 (Ethernet) standards. It states that a logic 0 is represented by a high–low signal sequence and a logic 1 is represented by a low–high signal sequence. If a Manchester encoded signal is inverted in communication, it is transformed from one convention to the other. This ambiguity can be overcome by using
differential Manchester encoding.
Decoding The existence of guaranteed transitions allows the signal to be self-clocking, and also allows the receiver to align correctly; the receiver can identify if it is misaligned by half a bit period, as there will no longer always be a transition during each bit period. The price of these benefits is a doubling of the bandwidth requirement compared to simpler
NRZ coding schemes.
Encoding Encoding conventions are as follows: • Each bit is transmitted in a fixed time (the period). • A 0 is expressed by a low-to-high transition, a 1 by a high-to-low transition (according to G. E. Thomas's convention – in the IEEE 802.3 convention, the reverse is true). • The transitions which signify 0 or 1 occur at the midpoint of a period. • Transitions at the start of a period are overhead and don't signify data. ==See also==