The Linear Transformer Tree

Abstract—An analysis is made of the forms in which linear transformer trees may be operated. It is determined that in a voltage mode—voltage source configuration, a transformer tree can yield the 22<R>n</R> discrete outputs corresponding to an n-bit input word, requiring a single diode or equivalent nonlinear element per logical product. It is also shown in this configuration that by including additional input transformers, use can be made of flux storage to produce a synchronous automaton whose ultimate speed is limited by the switching rate of the active elements and distributed reactance only. In a voltage mode—impedance source configuration, a system producing 2<R>n</R> decoded outputs results, which appears to have particular significance in core-store and READ-only memory drive applications. Based on this, a high-speed storage system is proposed.