Method for filtering signals from nonlinear dynamical systems

• US 6,766,340 B2
• Filed: 05/24/2002
• Issued: 07/20/2004
• Est. Priority Date: 11/18/1997
• Status: Expired due to Fees

• Current Assignee: Samsung Electronics Co. Ltd.
• Original Assignee: Samsung Electronics Co. Ltd.
• Inventors: Lee, Chung-Yong
• Primary Examiner(s): NGO, CHUONG D
• Application Number:
  US10/154,747
• Publication Number:
  US 20020178193A1
• Time in Patent Office: 788 Days
• Field of Search: 708/300, 708/301, 708/303, 708/304, 708/322, 708/323, 702/191, 702/194, 702/195
• US Class Current: 708/322
• CPC Class Codes: G06F 17/18 for evaluating statistical data , e.g. average values, frequency distributions, probability functions, regression analysis forecasting specially adapted for a specific administrative, business or logistic context G06Q10/04
• CPC Class Codes: H03H 17/0261 Non linear filters

Abstract

A method for filtering signals from a nonlinear dynamical system is provided. An initial enhanced point is set to a noisy point obtained from the signals. An intermediate enhanced point is estimated. A new enhanced point is calculated using the estimated point and a weighting constant. Estimation of an intermediate enhanced point and calculation of a new enhanced point are iterated until the computed point converges to a true enhanced point which represents a noise reduced signal to provide filtered signals, wherein the new enhanced point is computed by the equation

{circumflex over (x)}_n⁽ⁱ⁾={circumflex over (x)}_n⁽ⁱ⁻¹⁾+K₃[{circumflex over (x)}_n^(i,temp)−{circumflex over (x)}_n⁽ⁱ⁻¹⁾]

wherein {circumflex over (x)}_n⁽ⁱ⁾ is the new enhanced point, {circumflex over (x)}_n^(i-temp) is the intermediate enhanced point for iteration i, {circumflex over (x)}_n⁽ⁱ⁻¹⁾ is the enhanced point at iteration i−1, and K₃ is a weighing constant.

Claims

1. A method for filtering signals from a nonlinear dynamical system, comprising the steps of:

(a) setting an initial enhanced point to a noisy point obtained from the signals;

(b) estimating an intermediate enhanced point;

(c ) computing a new enhanced point using the estimated point and a weighting constant; and

(d) iterating the steps (b) and (c) until the computed point converges to a true enhanced point which represents a noise reduced signal to provide filtered signals,

wherein the new enhanced point is computed by the equation

2. The method for filtering signals from a nonlinear dynamical system as recited in claim 1, wherein the step of estimating the intermediate enhanced point includes the step of estimating an intermediate enhanced point in accordance with

3. A system for filtering signals from a nonlinear dynamical system, comprising:

a processor having an associated stored program including means for setting an initial enhanced point to a noisy point obtained from the signals;

means for estimating an intermediate enhanced point; and

means for iteratively computing a new enhanced point using the estimated point and a weighting constant until the computed point converges to a true enhanced point which represents a noise reduced signal to provide filtered signals,

wherein the new enhanced point is computed by the equation

4. The system as recited in claim 3, wherein the means for estimating the intermediate enhanced point includes an intermediate enhanced point computed in accordance with