Abstract

The concept for the generation of arbitrary permutations of d-dimensional data cubes in a multistage manner is presented. In particular, d-dimensional switching cubes are proposed, and the geometry of the ports of the switches and their locations within the switching cubes (d = 3,4) are discussed. A new addressing scheme for the ports of these switches is presented, which is called the horizontal coding of addresses because the ports of the switches are distributed to the subsequently arranged arrays of the cube(s) in a horizontal manner. This addressing scheme permits any desired organization of the switches and the ports by reordering the absolute d-tuple addresses. This reordering is described by permutation matrices and explained by means of several examples. Within this addressing scheme relative addresses of the ports of the switches (which are a subset of the common absolute addresses) are introduced. Relative addresses offer an additional saving of hardware if applied within the concept of rearrangeability.

© 1991 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
d-Dimensional (d ≥ 3) shuffle interconnections

Josef Giglmayr
Appl. Opt. 31(11) 1695-1708 (1992)

Locality and decomposition of regular optical interconnection patterns

Josef Giglmayr
Appl. Opt. 33(26) 6157-6167 (1994)

Generation and evaluation of d-dimensional (d ≥ 3) optical shuffle patterns

Josef Giglmayr
Appl. Opt. 31(23) 4662-4675 (1992)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (8)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (36)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription