Understanding TM

A quick overview of our technology and how it can be implemented to provide solutions for many different applications.

Due to its unique properties and methods using advanced algorithms and digital-signal processing, TM can transmit multiple times more data than existing modulations, making it highly efficient. Even more significant, TM can coexist simultaneously in a signal transmission with the existing modulation technologies, on the same frequency and waveform, allowing one carrier wave to transmit more data for a given bandwidth.

How it works

Transpositional Modulation (TM)  creates inflections (subtle changes in waveform slope) in the wave. These are placed at particular points in the waveform in order to carry data bits, then changed one more time to eliminate the transmission of harmonics. The waveform changes are not normally visible in the time or frequency domain, but can still be detected and located within the modulated carrier.

The effect of the TM modulation appears “transparent” (invisible) to a conventional modulation placed on the carrier, and therefore, additional data can be sent by adding TM to a conventional modulated carrier signal with little effect on it.

To apply TM to a conventional signal, precise synchronization of time to the original carrier and symbol rate is performed, and a new signal is generated based on a TM-modulated carrier plus a regenerated conventional modulation signal with time referenced to the TM-modulated carrier. The amount of additional information that can be sent depends on the number of different inflection symbols and time positions that can be discriminated in a given signal-to-noise ratio.


TM challenges but does not violate the Shannon–Hartley theorem.

Informally referred to as Shannon’s power-efficiency limit, this revered tenet of information theory is a mathematical model that describes an absolute limit to the amount of error-free data which can be sent over a specific bandwidth in the presence of noise.

In this manner, establishing a theoretical barrier beyond which a signal cannot be sent without errors. This limit has been a foundation of communications and information theory since MIT professor Claude Shannon produced his mathematical proof of the theorem in 1948.

New digital signal processing technology combined with the development of TM’s inflection-based data encoding makes it possible to credibly challenge Shannon’s Limit.

This is because Shannon made certain assumptions (some of them based on statistical probability and the previous work of Bill Nyquist regards Fourier Transform Analysis), regarding the character of electromagnetic waves when he created his theorem.

Digital communications science was still in its theoretical infancy at the time that Shannon formulated his theorem.

TM relies on new science and technology to transparently overlay a signal on an existing signal while remaining within its licensed bandwidth. This allows the simultaneous re-use of spectrum and increases the capacity for information that can be transmitted. As a result this can appear to violate Shannon challenges while remaining true to his theorem.