Signal decomposition method and electronic apparatus using the same

• US 9,467,182 B2
• Filed: 05/29/2015
• Issued: 10/11/2016
• Est. Priority Date: 03/12/2015
• Status: Active Grant

• Current Assignee: National Chiao Tung University (Government of The Republic of China)
• Original Assignee: National Chiao Tung University (Government of The Republic of China)
• Inventors: Hsu, Hung-Yi, Chang, Chia-Chi, Hsiao, Tzu-Chien
• Primary Examiner(s): Singh, Hirdepal
• Assistant Examiner(s): Singh, Amneet
• Application Number:
  US14/724,828
• Publication Number:
  US 20160269064A1
• Time in Patent Office: 501 Days
• US Class Current: 1/1
• CPC Class Codes: A61B 5/7203 for noise prevention, reduction or removal
• CPC Class Codes: A61B 5/725 using specific filters therefor, e.g. Kalman or adaptive filters A61B5/316 take precedence
• CPC Class Codes: G06F 17/14 Fourier, Walsh or analogous domain transformations , e.g. Laplace, Hilbert, Karhunen-Loeve, transforms for correlation function computation G06F17/156; spectrum analysers G01R23/16
• CPC Class Codes: H04B 1/123 using adaptive balancing or compensation means adaptive filter circuits and algorithms H03H
• CPC Class Codes: H04L 7/027 extracting the synchronising or clock signal from the received signal spectrum, e.g. by using a resonant or bandpass circuit

Abstract

A signal decomposition method and an electronic apparatus using the same are proposed. The method includes the following steps: retrieving a first signal; performing a deterministic filtering operation to the first signal to decompose the first signal into at least one primary signal, where the at least one primary signal includes a second signal having a constant trend; and performing a non-deterministic filtering operation to the second signal to decompose the second signal into at least one secondary signal, where one of the at least one secondary signal has the constant trend and a sum of the at least one primary signal and the at least one secondary signal is the first signal.

Claims

1. A signal decomposition method, adapted to an electronic apparatus which has a processor, comprising:

retrieving a first signal by the processor executing a retrieving module;

performing a deterministic filtering operation to the first signal to decompose the first signal into at least one primary signal by the processor executing a first filter module, wherein the at least one primary signal comprises a second signal having a constant trend; and

performing a non-deterministic filtering operation to the second signal to decompose the second signal into at least one secondary signal by the processor executing a second filter module, wherein one of the at least one secondary signal has the constant trend, and a sum of the at least one primary signal and the at least one secondary signal is the first signal,

wherein the step that performs the deterministic filtering operation to decompose the first signal into the at least one primary signal comprises;

detrending the first signal based on a deterministic filtering algorithm to obtain one of the at least one primary signal;

determining whether the one of the at least one primary signal has the constant trend; and

when the one of the at least one primary signal has the constant trend, defining the one of the at least one primary signal as the second signal,

when the one of the at least one primary signal does not have the constant trend, the one of the at least one primary signal is defined as the first signal, and detrending the first signal is again based on the deterministic filtering algorithm to obtain another of the at least one primary signal.

2. The method as claimed in claim 1, wherein the step of detrending the first signal based on the deterministic filtering algorithm to obtain the one of the at least one primary signal comprises:

retrieving a trend signal of the first signal based on the deterministic filtering algorithm; and

subtracting the trend signal from the first signal to obtain the one of the at least one primary signal.

3. The method as claimed in claim 1, wherein the step of performing the non-deterministic filtering operation to the second signal to decompose the second signal into the at least one secondary signal comprises:

detrending the second signal based on a non-deterministic filtering algorithm to obtain one of the at least one secondary signal;

determining whether the one of the at least one secondary signal has the constant trend; and

when the one of the at least one secondary signal does not have the constant trend, defining the one of the at least one secondary signal as the second signal, and detrending the second signal again based on the non-deterministic filtering algorithm to obtain another of the at least one secondary signal.

4. The method as claimed in claim 3, wherein when the one of the at least one secondary signal has the constant trend, the at least one primary signal and the at least one secondary signal are recorded.

5. The method as claimed in claim 3, wherein the step of detrending the second signal based on the non-deterministic filtering algorithm to obtain the one of the at least one secondary signal comprises:

retrieving a trend signal of the second signal based on the non-deterministic filtering algorithm; and

subtracting the trend signal from the second signal to obtain the one of the at least one secondary signal.

6. An electronic apparatus, comprising:

a storage device, storing a plurality of modules;

a processor, coupled to the storage device and accessing and executing the modules, wherein the modules comprise;

a retrieving module, retrieving a first signal;

a first filter module, performing a deterministic filtering operation to the first signal to decompose the first signal into at least one primary signal, wherein the at least one primary signal comprises a second signal having a constant trend; and

a second filter module, performing a non-deterministic filtering operation to the second signal to decompose the second signal into at least one secondary signal, wherein one of the at least one secondary signal has the constant trend, and a sum of the at least one primary signal and the at least one secondary signal is the first signal,

wherein the first filter module is configured to;

detrend the first signal based on a deterministic filtering algorithm to obtain one of the at least one primary signal;

determine whether the one of the at least one primary signal has the constant trend; and

define the one of the at least one primary signal as the second signal when the one of the at least one primary signal has the constant trend,

when the one of the at least one primary signal does not have the constant trend, the first filter module is configured to define the one of the at least one primary signal as the first signal, and detrend the first signal again based on the deterministic filtering algorithm to obtain another of the at least one primary signal.

7. The electronic apparatus as claimed in claim 6, wherein the first filter module is configured to:

retrieve a trend signal of the first signal based on the deterministic filtering algorithm; and

subtract the trend signal from the first signal to obtain the one of the at least one primary signal.

8. The electronic apparatus as claimed in claim 6, wherein the second filter module is configured to:

detrend the second signal based on a non-deterministic filtering algorithm to obtain one of the at least one secondary signal;

deteimine whether the one of the at least one secondary signal has the constant trend; and

define the one of the at least one secondary signal as the second signal when the one of the at least one secondary signal does not have the constant trend, and detrend the second signal again based on the non-deterministic filtering algorithm to obtain another of the at least one secondary signal.

9. The electronic apparatus as claimed in claim 8, wherein when the one of the at least one secondary signal has the constant trend, the second filter module is configured to record the at least one primary signal and the at least one secondary signal.

10. The electronic apparatus as claimed in claim 8, wherein the second filter module is configured to:

retrieve a trend signal of the second signal based on the non-deterministic filtering algorithm; and

subtract the trend signal from the second signal to obtain the one of the at least one secondary signal.