Binary Links Research Articles

Design Equations for the Finitely and Infinitesimally Separated Position Synthesis of Binary Links and Combined Link Chains

A general method for synthesizing spatial linkages (derived in a previous paper [1]) is applied to the design of various types of binary links and combined link chains. Equations governing those special points and lines which define the link dimensions are derived. Types and order of loci of such special points and lines and the maximum number of design positions for each link are given. Numerical method for computing these special points and lines are discussed, and a numerical example is presented.

A Unified Theory for the Finitely and Infinitesimally Separated Position Problems of Kinematic Synthesis

A rigid body is studied in a series of different positions. These positions can be finitely separated, infinitesimally separated, or a combination of the two. A general method for determining the locations of points or lines (in the rigid body) which have their different multiple positions satisfying the constraints of binary links or combined link chains is developed. In a companion paper [10] equations governing the locations of these special points and lines are derived.

An Analysis of Cascaded Binary Communication Links

The performance of cascaded binary communication links in the presence of additive white Gaussian noise is investigated for the cases of constant and Rayleigh-distributed signal levels. An exact expression is derived for over-all error probability for any number of links with constant signal levels. The reliability of five modulation techniques is examined when independent or dependent Rayleigh fading is present on the cascaded system. It is shown that for any modulation technique the reliability is higher when the fading is dependent than when it is independent. It is also seen that the presence of Rayleigh fading affects reliability more than the degree of correlation of the fading, provided the number of links is small. The results of these analyses afford the designer a basis for a suitable trade-off between the number of relays and individual link reliabilities for a specified over-all system reliability.