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sNRL Patents
Fractional Scaling Digital Signal Processing (Provisional Application for the Altitude Exponent)
Filed July 27, 2016 • us 62/367,464
ABSTRACT OF THE DISCLOSURE
A process for processing a digital signal comprises constructing a fractional order control system that models a desired frequency response by assembling filter components from a filter component library. The filter components are defined by Laplace functions that include a non-integer control order having a variable fractional scaling exponent. Then, the fractional order control system is adjusted by applying an altitude exponent to the fractional order control system, and the altitude exponent changes a magnitude of the frequency response without changing a width of a transition band of the frequency response. An input signal in the digital frequency domain is received and processed based upon the fractional order control system to generate a digital output that is conveyed.
Fractional Scaling Digital Signal Processing
Filed August 20, 2015 • eu PCT/US15/46184
Fractional Scaling Digital Signal Processing allows for the construction of complex, fractional order, signal processing systems to both filter and synthesize digital signals. This invention encompasses fractional scaling digital signal processing methods, systems, and computer program products that utilize non-integer based fractional calculus to implement fractional filtering (e.g., fractional scaling, fractional phase shifting, fractional integration, fractional differentiation, etc.) to carry out solutions that require processing of digital signals that exist in or can be converted to the complex frequency domain.
Fractional Scaling Digital Signal Processing comprises receiving a digital input in the time or complex frequency domain and processing this input based upon a fractional order control system to generate a new frequency and/or phase modified digital signal as output in the time or complex frequency domain. A fractional order control system that models a desired frequency and/or phase response is defined by an assembly of at least one filter component drawn from a fractional scaling digital filter bank (i.e., a filter component library), whereas, each filter component is defined by a Laplace function that is modified to include a non-integer (i.e., fractional) control order having a variable fractional scaling exponent. Filter components, as basic building blocks, of the fractional scaling digital filter bank may be assembled in various configurations to construct complex, fractional order, signal processing systems which provide the capability to fractionally filter digital signals in the frequency and/or phase domain.
Fractional Scaling Digital Signal Processing offers increased performance, response, stability, precision, flexibility, and efficiency in digital signal processing with more effective and finely tuned fractional scaling digital filters than are possible from conventional filters designs which do not utilize fractional calculus.
Fractional Scaling Digital Filters and the Generation of Standardized Noise and Synthetic Data Series
Filed August 26, 2014 • us 14/469,171
This invention encompasses innovative methods and algorithms in a newly developed class of mathematical filters known as Fractional Scaling Digital Filters or sNoise Filters which include the Low Pass Fractional Scaling Digital Filter, High Pass Fractional Scaling Digital Filter, Band Pass Fractional Scaling Digital Filter, Notch Fractional Scaling Digital Filter, Resonance Fractional Scaling Digital Filter, Harmonic Resonance Fractional Scaling Digital Filter, Band Resonance Fractional Scaling Digital Filter, and many more complex Fractional Scaling Digital Filters or Frequency Response Models.
Fractional Scaling Digital Filters provide the ability to selectively filter complex data sets and can achieve nearly any desired filtering characteristic with a high degree of accuracy from sharp transitions within a narrow bandwidth to complicated structures within the passband, all without introducing the mathematical artifacts of current state-of-the-art filters or resulting in a loss of information in the filtered signal. Fractional Scaling Digital Filters are also capable of performing magnitude-only frequency modifications (without phase distortion or with only a linear phase) or phase-only frequency modifications on any signal providing flexibility in the filter design to allow precise modification of the fractional scaling and/or phase shifting of the frequency content of any signal.
Patent Allowed MAR2017. U.S. Patent Application No: 14/469,171 filed on August 26, 2014 claims priority to U.S. Provisional Patent Application No.: 61/870,052 filed August 26, 2013, U.S. Provisional Patent Application No.: 61/870,064 filed August 26, 2013, and U.S. Provisional Patent Application No.: 62/039,684 filed August 20, 2014.
For licensing regarding Fractional Scaling Digital Filters and Fractional Order Control Systems, contact the Office of Technology Transfer at Wright State University via t[email protected] with reference to invention WSU 2013-013.
Fractional Scaling Digital Filters and Fractional Order Control Systems (Provisional Application)
Filed August 20, 2014 • us 62/039,684
Fractional Scaling Digital Signal Processing allows fractional calculus, and thus fractional filtering (e.g., fractional scaling, fractional phase shifting, fractional integration, or fractional differentiation), to be performed on a signal, represents exact filtering solutions rather than approximations, and demonstrably is extremely accurate and more efficient than conventional filter designs. This provisional patent introduces a filter component library and algorithm from which all other Fractional Scaling Digital Filters and Fractional Order Control System Models may be generated.
Time Delay and the Scaling Component (Provisional Application)
Filed August 26, 2013 • us 61,870,064
This provisional patent application further develops the relationship of the scaling exponent to the phase and time delay of a signal and filter and also presents an algorithm to develop pure synthetic colored noise signals.
Control Theory and Convolution (Provisional Application)
Filed August 26, 2013 • us 61/870,052
This provisional application introduces the mathematics and algorithms behind Fractional Scaling Digital Signal Processing (FSDSP), Fractional Scaling Digital Filters (FSDF), and Fractional Order Control Systems (FOCS) and also fully develops the relationship of the scaling exponent to fractional calculus.