Apparatus and method for selecting parameters corresponding to physical characteristics

• US 6,032,106 A
• Filed: 09/09/1997
• Issued: 02/29/2000
• Est. Priority Date: 12/14/1993
• Status: Expired due to Fees

• Current Assignee: Masaharu Ishii
• Original Assignee: Masaharu Ishii
• Inventors: Ishii, Masaharu
• Primary Examiner(s): Arana, Louis M.
• Assistant Examiner(s): VO, HIEN XUAN
• Application Number:
  US08/925,619
• Time in Patent Office: 903 Days
• Field of Search: 702/85, 364/158, 364/488, 364/468.03, 364/149, 364/150, 364/151, 364/153, 364/159, 364/178
• US Class Current: 702/85
• CPC Class Codes: G06F 17/10 Complex mathematical operations function generation by table look-up G06F1/03; evaluation of elementary functions by calculation G06F7/544
• CPC Class Codes: G06F 17/17 Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method G06F17/18 takes precedence ; interpolation for numerical control G05B19/18
• CPC Class Codes: H03H 17/02 Frequency selective networks digital computers for complex mathematical operations G06F17/10

Abstract

A suiting region (lying between an upper bound function M⁺ (x) and a lower bound function M^- (x)) is set by an input having a certain spread, such as error. Inequalities are established between this suiting region and a suiting function containing undetermined parameters. These inequalities are approximated to a finite number of inequalities for the parameters and are solved, whereby a solution region is found. One internal point of this solution region is selected, whereby one suiting function f(x) contained in the suiting region is obtained.

Claims

1. A suiting apparatus for designing a system, said suiting apparatus having a processor, a memory, an input device and an output device to execute a suiting process, said suiting apparatus comprising:

means for inputting data that corresponds to an allowable range of physical characteristics to set a suiting range;

suiting function determination means for determining a suiting function, based upon the inputted data, at least approximately contained in said allowable range by solving simultaneous inequalities, said suiting function determination means setting said suiting function as a family of functions having certain parameters, values of said certain parameters being determined by solving said simultaneous inequalities, said suiting function determination means determining an allowable range of values of said certain parameters; and

means for designing a system in accordance with said determined suiting function.

2. A suiting apparatus according to claim 1, wherein said suiting region setting means defines the suiting region by an upper bound function restricting the upper bound of the suiting region and a lower bound function restricting the lower bound of the suiting region.

3. A suiting apparatus according to claim 1, wherein said suiting region setting means defines the suiting region by at least one convex hull.

4. A suiting apparatus according to claim 1, wherein said suiting region setting means defines the suiting region by a target function and an allowable error range.

5. A suiting apparatus according to claim 1, wherein said suiting region setting means defines the suiting region by intervals on a sequence of points.

6. A suiting apparatus according to claim 2, wherein said suiting function indicates a function of a data interpolation.

7. A suiting apparatus according to claim 1, wherein said suiting function indicates an amplitude characteristic of a digital signal processing system.

8. A suiting apparatus according to claim 1, wherein said suiting function indicates a phase characteristic of a digital signal processing system.

9. A suiting apparatus according to claim 1, wherein said suiting function indicates an amplitude characteristic of an analog system.

10. A suiting apparatus according to claim 1, wherein said suiting function indicates a phase characteristic of an analog system.

11. A characteristic correction apparatus of the suiting apparatus of claim 1, comprising means for measuring a characteristic of a system having an analog system and at least one of an A/D converter and a D/A converter.

12. A characteristic correction apparatus of the suiting apparatus of claim 1, comprising a digital filter connected to a system having an analog system and at least one of an A/D converter and a D/A converter to correct said characteristic of said system.

13. A suiting apparatus comprising:

means for setting a suiting region corresponding to an allowable range of a physical characteristic;

a suiting function determination means for finding the suiting function at least approximately contained in this range of suiting region by solving simultaneous inequalities;

a suiting region display means for visually displaying said suiting region; and

,

a suiting function display means for displaying said suiting function while superimposing the same on the suiting region displayed by this suiting region display means,

said suiting function determination means setting said suiting function as a family of functions having parameters and, at the same time, finding the values of the parameters by solving the simultaneous inequalities.

14. The suiting apparatus according to claim 13, further comprising:

means for inputting a changed suiting region in accordance with said suiting function obtained by said suiting function determining means, so that a changed suiting function is obtained by said suiting function determining means.

15. A suiting process for designing a system, comprising the steps of:

inputting data corresponding to an allowable range of a physical characteristic so that a suiting range is set in a storage device;

using a processor to determine a suiting function, based upon the inputted data, at least approximately contained in an allowable range of the suiting region by solving simultaneous inequalities,

the processor setting the suiting function as a family of functions having certain parameters, values of the certain parameters being determined by solving the simultaneous inequalities, and determining an allowable range of values of the certain parameters; and

designing a system in accordance with the determined suiting function.

16. The suiting process of claim 15, further comprising storing instructions executed by the processor for determining the suiting function in a storage medium.

17. A suiting apparatus for designing a system, said suiting apparatus having a processor, a memory, an input device and an output device to execute a suiting process, said suiting apparatus comprising:

means for inputting data that corresponds to an allowable range of physical characteristics to set a suiting region;

suiting function determination means for determining a suiting function, based upon the inputted data, at least approximately contained in said allowable range by solving simultaneous inequalities, said suiting function determination means setting said suiting function as a family of functions having certain parameters, values of the certain parameters being determined by solving said simultaneous inequalities;

means for correcting said suiting function when said suiting function projects over said suiting region in order to remove a projection; and

means for designing a system in accordance with said determined suiting function.

18. A suiting apparatus for designing a system, said suiting apparatus having a processor, a memory, an input device and an output device to execute a suiting process, said suiting apparatus comprising:

means for inputting data that corresponds to an allowable range of physical characteristics to set a suiting region;

suiting function determination means for determining a suiting function, based upon the inputted data, at least approximately contained in said allowable range by solving simultaneous inequalities, said suiting function determination means setting said suiting function as a family of functions having certain parameters values of the certain parameters being determined by solving said simultaneous inequalities, said setting means defining said suiting region according to an inequality system of piece-wise continuous functions, said setting means including means for dividing said suiting region into small parts and constructing produced generating convex hulls in said small parts; and

means for designing a system in accordance with said determined suiting function.

19. A suiting apparatus for designing a system, said suiting apparatus having a processor, a memory, an input device and an output device to execute a suiting process, said suiting apparatus comprising:

means for inputting data that corresponds to an allowable range of physical characteristics to set a suiting region;

suiting function determination means for determining a suiting function, based upon the inputted data, at least approximately contained in said allowable range by solving simultaneous inequalities, said suiting function determination means setting said suiting function as a family of functions having certain parameters, values of the certain parameters being determined by solving said simultaneous inequalities, said suiting function determination means comprising;

means for initially setting said family of functions of said suiting functions;

means for determining whether a suiting function exists that conforms to said suiting region; and

means for finding a solution of said suiting function when said determining means determines that said suiting function exists;

means for automatically changing a setting of said family of functions of said suiting functions to a broader family when said determining means determines that said suiting function does not exist; and

means for designing a system in accordance with said determined suiting function.

20. A suiting apparatus for designing a system, said suiting apparatus having a processor, a memory, an input device and an output device to execute a suiting process, said suiting apparatus comprising:

means for inputting data that corresponds to an allowable range of physical characteristics to set a suiting region;

suiting function determination means for determining a suiting function, based upon the inputted data, at least approximately contained in said allowable range by solving simultaneous inequalities, said suiting function determination means setting said suiting function as a family of functions having certain parameters, values of the certain parameters being determined by solving said simultaneous inequalities;

suiting region reduction means for converting a predetermined quantity of change of said values of said certain parameters of said suiting function to a quantity of change of said suiting region in a parameter space and reducing said suiting region in said parameter space by a quantity corresponding to said quantity of change of said suiting region; and

means for designing a system in accordance with said determined suiting function.

21. A suiting apparatus for designing a system, comprising:

a recording medium that stores a suiting program; and

a processor that executes said suiting program stored in said recording medium to determine a suiting function, based upon inputted data corresponding to an allowable range of a physical characteristic used to set a suiting region, at least approximately contained in an allowable range of the suiting region by solving simultaneous inequalities, said processor setting said suiting function as a family of functions having certain parameters, values of said certain parameters being determined by solving said simultaneous inequalities, and determining an allowable range of values of said certain parameters, so that a system is designed in accordance with said determined suiting function.