System and method of generating complex waveforms
a technology of complex waveforms and waveforms, applied in the field of methods for generating complex waveforms, can solve the problem of adding further complexity to the shape of the desired output waveform, and achieve the effect of great precision
Inactive Publication Date: 2014-09-25
THE PULSE PERFECT
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AI Technical Summary
Benefits of technology
This approach enables unambiguous expression and manipulation of complex waveforms, reduces complexity in hardware and software, and increases data density by allowing transitions to carry information, supporting multiple modulation schemes on a single carrier.
Problems solved by technology
Such waveforms may be added subtracted, multiplied, divided or input to additional functions including additional DNAX functions, adding further complexity to the shape of the desired output waveform.
Method used
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[0044]The present invention relates to methods of generating complex waveforms and signal modulation techniques for use in communications, signal processing, manufacturing, and other applications. The methods of the present invention are based on the application of a unique function which has been given the name DNAX. DNAX is an acronym formed by the letters designating four separate input parameters of the DNAX function which govern the shape of the output waveform. By astute manipulation of these input parameters and selectively rearranging the form of the DNAX function, nearly any desired output waveform can be mathematically generated via a single mathematical expression.
[0045]The DNAX function is a continuous linear function that provides a defined output value for every input value of a continuous input domain. Using the DNAX function, complex waveforms including waveforms having sharp discontinuities which have heretofore defied easy mathematical expression, such as step func...
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Systems and methods for generating complex waveforms, including step functions, impulse functions, and gate pulses are provided, as well as methods for generating modulated waveforms employing a number of known and newly developed modulation formats. The systems and methods of the present invention employ a continuous linear function, wherein all output points are defined. Discontinuities and singularities are eliminated, yet pulses having nearly instantaneous transitions may be achieved. Thus, gate pulses step functions, binary waveforms and the like may all be generated from a single function, where they entire output range of the function is defined over a continuous input domain.
Description
CROSS-REFERENCE TO RELATED APPLICATIONS[0001]This application is a continuation of U.S. patent application “System and Method of Generating Complex Waveforms,” Ser. No. 12 / 885,792 filed Sep. 20, 2010 which is a continuation-in-part of U.S. patent application “Method of Generating Complex Waveforms and Modulating Signals,” Ser. No. 10 / 463,482 filed Jun. 17, 2003. Each of the above-identified applications is hereby incorporated herein by reference.BACKGROUND OF THE INVENTION[0002]The present invention relates to methods for generating complex waveforms and modulated signals. Using conventional mathematical techniques, it is difficult to express many output functions commonly used in telecommunications, computing, machine control and other electronic systems. For example, using conventional techniques it is impossible to express a single square pulse having a value of one over a short input range and value of zero elsewhere. At least two equations are required (y=1, y=0) along with res...
Claims
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IPC IPC(8): G06F1/02
CPCG06F17/10G06F1/022H04L25/03834
InventorCAPUTO, ROBINSON GAUDINOVARELLA, LUIZ GUSTAVO
OwnerTHE PULSE PERFECT