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Discrete signal processing device and processing method

Foreign code F110003346
File No. A222-03WO
Posted date Jun 23, 2011
Country United States of America
Application number 57273705
Gazette No. 20080207160
Gazette No. 7979480
Date of filing Jul 14, 2005
Gazette Date Aug 28, 2008
Gazette Date Jul 12, 2011
International application number JP2005013034
International publication number WO2006011371
Date of international filing Jul 14, 2005
Date of international publication Feb 2, 2006
Priority data
  • P2004-218460 (Jul 27, 2004) JP
  • 2005WO-JP13034 (Jul 14, 2005) WO
Title Discrete signal processing device and processing method
Abstract (US7979480)
A signal processing device and a signal processing method are provided which can reproduce a smooth signal in the reproduction of a discrete signal having a non-uniform sample point interval.
The device includes a coefficient calculation unit 4 that inputs a sample point signal E2 representative of the time of a sample point of a discrete signal E1 having a non-uniform sample point interval to obtain a coefficient of a sampling function corresponding to the discrete signal, and a reproduction signal calculation unit 5 that obtains a continuous reproduction signal E3 by calculating and outputting a function value within the sample point interval from the discrete signal and the value of the coefficient outputted by the coefficient calculation unit.
Scope of claims [claim1]
1. A signal processing device, wherein a first signal sampled at sample points of non-uniform intervals and a second signal representative of time or position of the sample points are input to the device; the device obtains a product of a value of a sampling function determined by the second signal and a magnitude of the first signal, the product being obtained for each of the sample points; and the device reproduces a signal within a sample point interval by linearly combining the values of the product obtained for each of the sample points.
[claim2]
2. The signal processing device according to claim 1, wherein the sampling function is a polynomial function represented by a continuous quadratic expression in each of 2n number of intervals formed by halving each sample point interval, comprises a quadratic continuous polynomial function differentiable once in the sample point and a middle point of the sample point interval, and has a value of 1 in a reference sample point and a value of zero in other sample points.
[claim3]
3. The signal processing device according to claim 1, wherein the second signal is represented by elapse time when the first signal is a time series signals and represented by a coordinate point when the first signal is a signal indicated using a coordinate.
[claim4]
4. The signal processing device according to claim 1, wherein the second signal is represented by a time interval or a distance between adjacent sample points.
[claim5]
5. A signal processing device comprising: a coefficient calculation unit that receives a second signal representative of time or position of sample points of non-uniform intervals to obtain a coefficient of a sampling function; and
a reproduction signal calculation unit that obtains a continuous reproduction signal by calculating and outputting a function value within a sample point interval from a first signal sampled at the sample points and a value of the coefficient outputted by the coefficient calculation unit.
[claim6]
6. The signal processing device according to claim 5, wherein the reproduction signal calculation unit applies the value of the coefficient outputted by the coefficient calculation unit to a polynomial function to calculate a value of the sampling function in predetermined time or position within the sample point interval, obtains product of a calculation value as a result of the calculation and a signal value of the first signal, and outputs sum of obtained product values in the predetermined time or position within the sample point interval as a reproduction signal.
[claim7]
7. A signal processing device comprising: a coefficient calculation unit that receives a second signal representative of time or positions of sample points of non-uniform intervals to obtain a coefficient of a sampling function; and
a reproduction signal calculation unit that performs an inner product operation for obtaining a function value within a sample point interval from a first signal sampled at the above sample points of non-uniform intervals and a value of the sampling function determined from a value of the coefficient outputted by the coefficient calculation unit, and obtains a continuous reproduction signal by linear combination of the function values obtained for each of the sample points.
[claim8]
8. A signal processing method of a signal processing device which includes a signal reception unit and a signal calculation unit, comprising the steps of: receiving with the signal reception unit, as inputs, a first signal sampled at sample points of non-uniform intervals and a second signal representative of time or position of the sample points;
obtaining with the signal calculation unit product of a value of a sampling function determined by the second signal and a magnitude of the first signal, the product being obtained for each of the sample points; and
reproducing with the signal calculation unit a signal within a sample point interval by linear combination of values of the product obtained for each of the sample points.
[claim9]
9. The signal processing method according to claim 8, wherein the sampling function is a polynomial function represented by a continuous quadratic expression in each of 2n number of intervals formed by halving each sample point interval, comprises a quadratic continuous polynomial function differentiable once in a sample point and a middle point of a sample point interval, and has a value of 1 in a reference sample point and a value of zero in other sample points.
[claim10]
10. The signal processing method according to claim 8, wherein a function value of the sampling function in a middle point of a sample point interval is determined by a predetermined condition.
[claim11]
11. The signal processing method according to claim 10, wherein the predetermined condition is indicated by defining the function value of the sampling function in the middle point of the sample point interval so that the function value is symmetrical with respect to a reference sample point.
[claim12]
12. The signal processing method according to claim 10, wherein the predetermined condition is indicated by defining the function value of the sampling function in the middle point of the sample point interval so that the function value of the sampling function is approximated to a value of a sampling function having a uniform interval with a minimum error.
[claim13]
13. A signal processing method of a signal processing device which includes a coefficient calculation unit and a reproduction signal calculation unit, comprising the steps of: receiving with the coefficient calculation unit, as an input, a second signal representative of time or position of sample points of non-uniform intervals to obtain a coefficient of a sampling function; and
obtaining with the reproduction signal calculation unit a continuous reproduction signal by calculating and outputting a function value within a sample point interval from a first signal sampled at the sample points and a value of the coefficient of the sampling function.
[claim14]
14. A signal processing method of a signal processing device which includes a coefficient calculation unit and a reproduction signal calculation unit, comprising the steps of: receiving with the coefficient calculation unit, as an input, a second signal representative of time or position of sample points of non-uniform intervals to obtain a coefficient of a sampling function;
performing with the reproduction signal calculation unit an inner product operation for obtaining a function value within a sample point interval from a first signal sampled at the sample points of non-uniform intervals and a value of the sampling function determined from a value of the coefficient; and
obtaining with the reproduction signal calculation unit a continuous reproduction signal by linear combination of the function values obtained for each of the sample points.
[claim15]
15. A signal processing device comprising: a signal propriety judging unit that determines whether or not a first signal obtained by sampling a continuous signal is proper;
a sample point measuring unit that, when the first signal is proper, produces a second signal representative of time or position of sample points of the first signal; and
a signal reproducing unit that, when the first signal is determined to be proper, obtains a continuous reproduction signal based on the first signal and the second signal,
wherein the signal reproducing unit comprises:
a coefficient calculation unit that receives the second signal to obtain a coefficient of a sampling function; and
a reproduction signal calculation unit that obtains the continuous reproduction signal by calculating and outputting a function value within a sample point interval from the first signal determined to be proper and the value of the coefficient outputted by the coefficient calculation unit.
[claim16]
16. The signal processing device according to claim 15, wherein the signal propriety judging unit judges propriety by whether or not, comparing with a first sample value of the first signal, a second sample value of the first signal whose sample point is adjacent to a sample point of the first sample value exceeds a predetermined reference value, and judges that the first signal is improper when it exceeds the reference value.
[claim17]
17. The signal processing device according to claim 15, wherein the signal propriety judging unit judges propriety by whether or not, comparing with a first sample value of the first signal, a second sample value of the first signal that is continuous to the first sample value of the first signal exceeds a predetermined reference value, and judges that the first signal is proper when it exceeds the reference value.
[claim18]
18. A signal processing method of a signal processing device which includes a signal propriety judging unit, a sample point measuring unit and a signal reproducing unit, comprising: a first step of determining with the signal propriety judging unit whether or not a first signal obtained by sampling a continuous signal is proper;
a second step of, when the first signal is proper, producing with the sample point measuring unit a second signal representative of time or position of sample points of the first signal; and
a third step of, when the first signal is determined to be proper, obtaining with the signal producing unit a continuous reproduction signal based on the first signal and the second signal,
wherein the third step includes:
a fourth step of receiving with the signal reproducing unit the second signal to obtain a coefficient of a sampling function; and
a fifth step of obtaining with the signal reproducing unit the continuous reproduction signal by calculating and outputting a function value within a sample point interval from the first signal determined to be proper and the value of the coefficient of the sampling function.
[claim19]
19. The signal processing method according to claim 18, wherein, in the first step, propriety is judged by whether or not, comparing with a first sample value of the first signal, a second sample value of the first signal whose sample point is adjacent to a sample point of the first sample value exceeds a predetermined reference value, and the first signal is determined to be improper when it exceeds the reference value.
[claim20]
20. The signal processing method according to claim 18, wherein, in the first step, propriety is judged by whether or not, comparing with a first sample value of the first signal, a second sample value of the first signal that is continuous to the first sample value of the first signal exceeds a predetermined reference value, and the first signal is determined to be improper when it exceeds the reference value.
[claim21]
21. A signal processing method of a signal processing device which includes a reproduction signal calculation unit, comprising the step of: reproducing with the reproduction signal calculation unit a signal value within a sample point interval by using a value of a first signal whose sample points are of non-uniform intervals and a sampling function determined by a second signal representative of time or position of the sample points of the non-uniform intervals.
  • Inventor, and Inventor/Applicant
  • TORAICHI KAZUO
  • TAKAHASHI TOMOYUKI
  • KAWABE TOHRU
  • KATAGISHI KAZUKI
  • NAKAMURA KOUJI
  • JAPAN SCIENCE AND TECHNOLOGY AGENCY
IPC(International Patent Classification)
Reference ( R and D project ) CREST New High-Performance Information Processing Technology Supporting Information-Oriented Society - Aiming at the Creation of New High-Speed, Large-Capacity Computing Technology Based on Quantum Effects, Molecular Functions, Parallel Processing, etc.- AREA
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