Patents by Inventor Takuro Kida

Takuro Kida has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Signal approximation system for minimizing the measure of worst-case error
    Patent number: 8229986
    Abstract: The purpose of this invention is that the optimum approximation formula can be derived even if an analysis filter has non-linear characteristic in a discrete signal approximation system. The norm of source signal 1 is bounded. Analysis filters 2 of FIR filters yield the output signal that is expressed with polynomial of transformed source signal 1 through a unit filter. An interpolation function is calculated according to the filter characteristic based upon the multi-dimensional function transformed from the polynomial. The output signal of the analysis filter 2 is sampled after each constant interval to obtain a discrete signal. The approximation function of the power function of the source signal 1 is calculated with linear combination of the interpolation functions using the discrete signals as coefficients. The radical of this approximation function is calculated to derive the root approximation function of the source signal 1.
    Type: Grant
    Filed: March 29, 2006
    Date of Patent: July 24, 2012
    Assignee: Nihon University
    Inventor: Takuro Kida
  • SIGNAL APPROXIMATION SYSTEM FOR MINIMIZING THE MEASURE OF WORST-CASE ERROR
    Publication number: 20110010407
    Abstract: The purpose of this invention is that the optimum approximation formula can be derived even if an analysis filter has non-linear characteristic in a discrete signal approximation system. The norm of source signal 1 is bounded. Analysis filters 2 of FIR filters yield the output signal that is expressed with polynomial of transformed source signal 1 through a unit filter. An interpolation function is calculated according to the filter characteristic based upon the multi-dimensional function transformed from the polynomial. The output signal of the analysis filter 2 is sampled after each constant interval to obtain a discrete signal. The approximation function of the power function of the source signal 1 is calculated with linear combination of the interpolation functions using the discrete signals as coefficients. The radical of this approximation function is calculated to derive the root approximation function of the source signal 1.
    Type: Application
    Filed: March 29, 2006
    Publication date: January 13, 2011
    Applicant: NIHON UNIVERSITY
    Inventor: Takuro Kida