CN108985277B - Method and system for filtering background noise in power signal - Google Patents

Method and system for filtering background noise in power signal Download PDF

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CN108985277B
CN108985277B CN201810970724.7A CN201810970724A CN108985277B CN 108985277 B CN108985277 B CN 108985277B CN 201810970724 A CN201810970724 A CN 201810970724A CN 108985277 B CN108985277 B CN 108985277B
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翟明岳
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Guangdong University of Petrochemical Technology
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Abstract

The invention discloses a method and a system for filtering background noise in a power signal. The filtering method comprises the following steps: acquiring a measured power signal parameter; dividing the actually measured power sequence to determine a plurality of subsequences; calculating a mean of autocorrelation functions of a plurality of the subsequences; determining the impulse response of the superposition filter according to the mean value; filtering the subsequence according to the impulse response, and determining a filtered subsequence; rearranging the filtered subsequences to determine a filtered power signal sequence. The filtering method and the system provided by the invention can effectively filter the background noise in the continuously generated strong pulse power signal.

Description

Method and system for filtering background noise in power signal
Technical Field
The invention relates to the field of background noise filtering, in particular to a method and a system for filtering background noise in a power signal.
Background
Load switch event detection is the most important step in energy decomposition, namely, the event occurrence is detected, and the time of the event occurrence can be determined at the same time, but the accuracy of the switch event detection is greatly influenced by noise in a power signal (power sequence), particularly, pulse noise generally exists in the power signal, and the detection accuracy is further influenced; filtering the power signal is an important step in the load switch event detection process, and a common method for removing background noise is to filter the power signal by a low-pass filter and a median filter.
Although the low-pass filter can effectively filter background noise and can keep the mutation of the signal to a certain extent; however, in view of the importance of the signal discontinuity (where the power jump occurs) for determining the switching event, it is desirable that the filter does not change the discontinuity of the power signal, but the low-pass filter does not tend to do so, which would make the discontinuity no longer steep and smooth, making the discontinuity time (corresponding to the occurrence time of the switching event) difficult to determine.
The median filter, although it is outstanding in maintaining signal discontinuity and filtering impulse noise, has a poor filtering effect on background noise (white noise) in a strong impulse power signal that occurs continuously.
Disclosure of Invention
The invention aims to provide a method and a system for filtering background noise in a power signal, which aim to solve the problem of poor filtering effect of the background noise in a continuously generated strong pulse power signal.
In order to achieve the purpose, the invention provides the following scheme:
a method for filtering background noise in a power signal, comprising:
acquiring a measured power signal parameter; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1;
dividing the actually measured power sequence to determine a plurality of subsequences; the length of the sub-sequence is L,
Figure BDA0001776121660000021
calculating a mean of autocorrelation functions of a plurality of the subsequences;
determining the impulse response of the superposition filter according to the mean value;
filtering the subsequence according to the impulse response, and determining a filtered subsequence;
rearranging the filtered subsequences to determine a filtered power signal sequence.
Optionally, the dividing the actually measured power sequence to determine a plurality of subsequences specifically includes:
and dividing according to the sequence of the actually measured power sequence to determine a plurality of subsequences.
Optionally, the dividing according to the sequence of the actually measured power sequence and after determining the plurality of subsequences, further includes:
judging whether the actually measured power sequence has a residual power signal or not to obtain a first judgment result;
and if the first judgment result indicates that the actually measured power sequence has a residual power signal, expanding the last power signal in the residual power signal into a residual sequence with the length of L, and taking the residual sequence as a subsequence of the actually measured power sequence.
Optionally, the calculating a mean of the autocorrelation functions of the multiple subsequences specifically includes:
according to the formula
Figure BDA0001776121660000022
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure BDA0001776121660000023
tau is an argument of the autocorrelation function, and when calculating the autocorrelation function value, the subsequence xiA time delay of (d);
Figure BDA0001776121660000024
τ=-L+1,…,0,…,L-1。
optionally, the determining the impulse response of the superposition filter according to the mean specifically includes:
according to the formula
Figure BDA0001776121660000025
Determining an impulse response of a superposition filter; wherein,
Figure BDA0001776121660000026
d is the length of the time window,
Figure BDA0001776121660000027
ωd[τ]is the time window of the overlap-add filter impulse response.
A system for filtering background noise from a power signal, comprising:
the actual measurement power signal parameter acquisition module is used for acquiring actual measurement power signal parameters; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1;
a subsequence determining module, configured to divide the actually measured power sequence and determine a plurality of subsequences; the length of the sub-sequence is L,
Figure BDA0001776121660000031
the mean value calculation module is used for calculating the mean value of the autocorrelation functions of the subsequences;
the impulse response determining module is used for determining the impulse response of the superposition filter according to the mean value;
the filtering module is used for filtering the subsequence according to the impulse response and determining a filtered subsequence;
and a filtered power signal sequence determining module, configured to rearrange the filtered subsequences, and determine a filtered power signal sequence.
Optionally, the subsequence determining module specifically includes:
and the subsequence determining unit is used for dividing according to the sequence of the actually measured power sequence and determining a plurality of subsequences.
Optionally, the method further includes:
the first judging unit is used for judging whether the actually measured power sequence has a residual power signal or not to obtain a first judging result;
and the subsequence expansion unit is used for expanding the last power signal in the residual power signal into a residual sequence with the length of L and taking the residual sequence as the subsequence of the actual measurement power sequence if the first judgment result indicates that the actual measurement power sequence has residual power signals.
Optionally, the mean value calculating module specifically includes:
a mean value calculation unit for calculating a mean value according to a formula
Figure BDA0001776121660000032
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure BDA0001776121660000033
tau is an argument of the autocorrelation function, and when calculating the autocorrelation function value, the subsequence xiA time delay of (d);
Figure BDA0001776121660000041
τ=-L+1,…,0,…,L-1。
optionally, the impulse response determining module specifically includes:
an impulse response determination unit for determining the impulse response according to the formula
Figure BDA0001776121660000042
Determining an impulse response of a superposition filter; wherein,
Figure BDA0001776121660000043
d is the length of the time window,
Figure BDA0001776121660000044
Figure BDA0001776121660000045
ωd[τ]is the time window of the overlap-add filter impulse response.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects: the invention provides a method and a system for filtering background noise in a power signal, which can effectively filter the background noise in a continuously generated strong pulse power signal by dividing an actually measured power sequence, determining a plurality of subsequences, filtering each subsequence, determining a filtered subsequence, and rearranging the filtered subsequences.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a method for filtering background noise in a power signal according to the present invention;
FIG. 2 is a diagram illustrating the sub-sequence partitioning provided by the present invention;
fig. 3 is a block diagram of a system for filtering background noise in a power signal according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a method and a system for filtering background noise in a power signal, which can effectively filter the background noise in a continuously generated strong pulse power signal.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Fig. 1 is a flowchart of a method for filtering background noise in a power signal according to the present invention, and as shown in fig. 1, a method for filtering background noise in a power signal includes:
step 101: acquiring a measured power signal parameter; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1.
Inputting a sequence of measured power signals P1,P2,…,PNAnd N is the length of the power signal sequence.
Step 102: dividing the actually measured power sequence to determine a plurality of subsequences; the length of the sub-sequence is L,
Figure BDA0001776121660000051
fig. 2 is a schematic diagram of the sub-sequence division provided by the present invention, as shown in fig. 2, a time window with a length L is selected,
Figure BDA0001776121660000052
symbol
Figure BDA0001776121660000053
The method includes the steps of representing lower rounding, dividing a power signal sequence into 10 subsequences according to the sequence, wherein the length of each subsequence is L, and data in adjacent subsequences are not repeated. In addition to the 10 subsequences, it is possible that some power data is not divided into the 10 subsequences, and the number of the remaining data is less than L. The last data value is extended to L-length subsequences as the last subsequence (11 th subsequence).
Step 103: calculating a mean of the autocorrelation functions of a plurality of the subsequences.
Combining a plurality of subsequences xiRe-expressed as:
x1=[P1,P2,…,PL]
x2=[PL+1,PL+2,…,PL+L]
xi=[P(i-1)*L+1,P(i-1)*L+2,…,P(i-1)*L+L],i=1,2,…,11
according to the formula
Figure BDA0001776121660000054
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure BDA0001776121660000055
tau is an argument of the autocorrelation function, and when calculating the autocorrelation function value, the subsequence xiA time delay of (d);
Figure BDA0001776121660000061
τ=-L+1,…,0,…,L-1。
step 104: and determining the impulse response of the superposition filter according to the average value.
The impulse response f (τ) of the superposition filter is:
Figure BDA0001776121660000062
wherein,
Figure BDA0001776121660000063
d is the length of the time window, determining the filter length, in general
Figure BDA0001776121660000064
ωd[τ]Is one term of the impulse response of the superposition filter, and is a special time window; due to the one time window, the impulse response of the superposition filter is a finite impulse response filter, which is convenient for calculation.
Step 105: and filtering the subsequence according to the impulse response, and determining a filtered subsequence.
According to the formula
Figure BDA0001776121660000065
Filtering each subsequence, where operation denotes convolution, i ═ 1,2, …, 11;
Figure BDA0001776121660000066
for the measured data subsequence xi(l) Is estimated by the estimation of (a) a,
Figure BDA0001776121660000067
to filter out the power signal of background noise.
Step 106: rearranging the filtered subsequences to determine a filtered power signal sequence.
Recombining the subsequences to obtain a filtered power signal sequence
Figure BDA0001776121660000068
Figure BDA0001776121660000069
Since the 11 th sequence is likely to be obtained by expanding the nth data value, only the sequence is required to be derived from
Figure BDA00017761216600000610
The first N data are selected.
Fig. 3 is a structural diagram of a system for filtering background noise in a power signal, as shown in fig. 3, a system for filtering background noise in a power signal includes:
an actual measurement power signal parameter obtaining module 301, configured to obtain an actual measurement power signal parameter; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1.
A subsequence determining module 302, configured to divide the actually measured power sequence and determine a plurality of subsequences; the length of the sub-sequence is L,
Figure BDA0001776121660000071
the subsequence determining module 302 specifically includes:
and the subsequence determining unit is used for dividing according to the sequence of the actually measured power sequence and determining a plurality of subsequences.
The first judging unit is used for judging whether the actually measured power sequence has a residual power signal or not to obtain a first judging result;
and the subsequence expansion unit is used for expanding the last power signal in the residual power signal into a residual sequence with the length of L and taking the residual sequence as the subsequence of the actual measurement power sequence if the first judgment result indicates that the actual measurement power sequence has residual power signals.
A mean calculating module 303, configured to calculate a mean of the autocorrelation functions of the plurality of subsequences.
The mean value calculating module 303 specifically includes:
a mean value calculation unit for calculating a mean value according to a formula
Figure BDA0001776121660000072
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure BDA0001776121660000073
tau is an argument of the autocorrelation function, and when calculating the autocorrelation function value, the subsequence xiA time delay of (d);
Figure BDA0001776121660000074
τ=-L+1,…,0,…,L-1。
an impulse response determination module 304, configured to determine an impulse response of the superposition filter according to the mean.
The impulse response determining module 304 specifically includes:
an impulse response determination unit for determining the impulse response according to the formula
Figure BDA0001776121660000075
Determining an impulse response of a superposition filter; wherein,
Figure BDA0001776121660000076
d is the length of the time window,
Figure BDA0001776121660000077
Figure BDA0001776121660000078
ωd[τ]is a superposition filter impulse responseThe time window of (c).
A filtering module 305, configured to filter the subsequence according to the impulse response, and determine a filtered subsequence.
A filtered power signal sequence determining module 306, configured to rearrange the filtered subsequences to determine a filtered power signal sequence.
The filtering method and the system provided by the invention are a superposition filter in practical application, and mainly filter white noise in background noise, and the band-pass filter of the superposition filter has higher cut-off frequency than a simple low-pass filter, so that the high-frequency characteristic of a signal mutation point is better reserved, a better filtering effect than the low-pass filter can be obtained, and the calculation speed is higher.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.

Claims (8)

1. A method for filtering background noise from a power signal, comprising:
acquiring a measured power signal parameter; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1;
dividing the actually measured power sequence to determine a plurality of subsequences; the length of the sub-sequence is L,
Figure FDA0002564311420000011
calculating a mean of autocorrelation functions of a plurality of the subsequences;
determining the impulse response of the superposition filter according to the mean value; the determining the impulse response of the superposition filter according to the mean value specifically includes: according to the formula
Figure FDA0002564311420000012
Determining an impulse response of a superposition filter; wherein,
Figure FDA0002564311420000013
d is the length of the time window,
Figure FDA0002564311420000014
ωd[τ]is the time window of the superposition filter impulse response; r isi[τ]A mean of autocorrelation functions for a plurality of said subsequences; τ is an argument of the autocorrelation function, τ -L +1, …,0, …, L-1;
filtering the subsequence according to the impulse response, and determining a filtered subsequence;
rearranging the filtered subsequences to determine a filtered power signal sequence.
2. The background noise filtering method according to claim 1, wherein the dividing the measured power sequence to determine a plurality of subsequences specifically comprises:
and dividing according to the sequence of the actually measured power sequence to determine a plurality of subsequences.
3. The background noise filtering method according to claim 2, wherein the dividing according to the sequence of the measured power sequence and after determining the plurality of subsequences further comprises:
judging whether the actually measured power sequence has a residual power signal or not to obtain a first judgment result;
and if the first judgment result indicates that the actually measured power sequence has a residual power signal, expanding the last power signal in the residual power signal into a residual sequence with the length of L, and taking the residual sequence as a subsequence of the actually measured power sequence.
4. The method of claim 1, wherein the calculating a mean of the autocorrelation functions of the plurality of subsequences specifically comprises:
according to the formula
Figure FDA0002564311420000021
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure FDA0002564311420000022
τ being an argument of the autocorrelation function, i.e. the subsequence x when calculating the autocorrelation function valueiA time delay of (d);
Figure FDA0002564311420000023
5. a system for filtering background noise from a power signal, comprising:
the actual measurement power signal parameter acquisition module is used for acquiring actual measurement power signal parameters; the actually measured power signal parameters comprise an actually measured power signal sequence and an actually measured power signal sequence length N; the actually measured power signal sequence comprises a plurality of actually measured power signals, the actually measured power signals are power signals containing noise, N is a serial number of the actually measured power signals, and N is more than or equal to 1;
a subsequence determining module for dividing the actually measured power sequence and determiningA plurality of subsequences; the length of the sub-sequence is L,
Figure FDA0002564311420000024
the mean value calculation module is used for calculating the mean value of the autocorrelation functions of the subsequences;
the impulse response determining module is used for determining the impulse response of the superposition filter according to the mean value; the impulse response determining module specifically includes: an impulse response determination unit for determining the impulse response according to the formula
Figure FDA0002564311420000025
Determining an impulse response of a superposition filter; wherein,
Figure FDA0002564311420000026
d is the length of the time window,
Figure FDA0002564311420000027
Figure FDA0002564311420000028
ωd[τ]is the time window of the superposition filter impulse response; r isi[τ]A mean of autocorrelation functions for a plurality of said subsequences; τ is an argument of the autocorrelation function, τ -L +1, …,0, …, L-1;
the filtering module is used for filtering the subsequence according to the impulse response and determining a filtered subsequence;
and a filtered power signal sequence determining module, configured to rearrange the filtered subsequences, and determine a filtered power signal sequence.
6. The background noise filtering system of claim 5, wherein the subsequence determining module specifically comprises:
and the subsequence determining unit is used for dividing according to the sequence of the actually measured power sequence and determining a plurality of subsequences.
7. The background noise filtering system according to claim 6, further comprising:
the first judging unit is used for judging whether the actually measured power sequence has a residual power signal or not to obtain a first judging result;
and the subsequence expansion unit is used for expanding the last power signal in the residual power signal into a residual sequence with the length of L and taking the residual sequence as the subsequence of the actual measurement power sequence if the first judgment result indicates that the actual measurement power sequence has residual power signals.
8. The background noise filtering system according to claim 5, wherein the mean calculating module specifically includes:
a mean value calculation unit for calculating a mean value according to a formula
Figure FDA0002564311420000031
Calculating a mean of autocorrelation functions of a plurality of the subsequences; wherein,
Figure FDA0002564311420000032
τ being an argument of the autocorrelation function, i.e. the subsequence x when calculating the autocorrelation function valueiA time delay of (d);
Figure FDA0002564311420000033
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