A method for coding linear displacements by overlapping sequences

Consideration is given to a method of discrete coding of continuous linear displacement wh ere the slip-ring brush rides a succession of contacts energizing, as it moves, one or another group of relays, which are connected to the contacts with due regard for the time when the brush closes two neighboring contacts and energizes the union of subsets of relays corresponding to these contacts. For a given set n (n > I, except for ra = 3), it is proved that there exists a correspondence between the subsets of energized relays and each of 2(n-1) contacts, which enables one to discriminate between 2(n) - 1 slates on the linear scale (taking into consideration the 2(n-1) - 1 gaps between two neighboring contacts).