CN109150245B - Method and system for filtering nonstationary and non-Gaussian noise in PLC communication signal - Google Patents
Method and system for filtering nonstationary and non-Gaussian noise in PLC communication signal Download PDFInfo
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Abstract
The invention discloses a method and a system for filtering non-stationary non-Gaussian noise in a PLC communication signal. The filtering method comprises the following steps: acquiring an actually measured PLC communication signal sequence and the number of multi-scale decomposition layers in a PLC communication system; determining a PLC communication signal sequence after each layer of filtering according to the number of multi-scale decomposition layers and the cut-off frequency of a multi-layer low-pass filter; determining the length of a time window of a current layer according to the PLC communication signal sequence filtered by the current layer; constructing an analytic sequence; determining the pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; restoring the filtered PLC communication signal sequence of each layer according to the pseudo Wigner-Ville distribution, and determining a restored PLC communication signal sequence; and filtering non-stationary non-Gaussian noise in the PLC communication system from the last layer of the multi-scale decomposition layer according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer. The invention can effectively filter the non-stationary non-Gaussian noise in the PLC communication system.
Description
Technical Field
The invention relates to the field of communication, in particular to a method and a system for filtering non-stationary non-Gaussian noise in a PLC communication signal.
Background
Compared with various wired communication technologies, the power line communication has the advantages of no need of rewiring, easiness in networking and the like, and has wide application prospect. The power line communication technology is classified into narrowband over power line (nPL) and Broadband over power line (BPL). The narrow-band power line communication refers to a power line carrier communication technology with a bandwidth limited to 3 k-500 kHz, and specifically includes a specified bandwidth (3-148.5 kHz) of European CEnELEC, a specified bandwidth (9-490 kHz) of the U.S. Federal communications Commission (fCC), a specified bandwidth (9-450 kHz) of the Japanese Association of Radio Industries and Businesses (ARIB), and a specified bandwidth (3-500 kHz) of China. The narrow-band power line communication technology mostly adopts a single carrier modulation technology, such as a PSK technology, a DSSS technology, a Chirp technology and the like, and the communication rate is less than 1 mbits/s; the broadband power line communication technology refers to a power line carrier communication technology with the bandwidth limited between 1.6-30 mHz and the communication rate generally higher than 1mbps, and adopts various spread spectrum communication technologies with OfDm as a core.
Although the power line communication system has wide application and relatively mature technology, a large amount of branches and electrical equipment in the power line communication system can generate a large amount of noise in a power line channel, wherein random impulse noise has high randomness and high noise intensity, and seriously damages the power line communication system, so that the technology for suppressing the random impulse noise is always the key point of research of domestic and foreign scholars.
In practical applications, some simple nonlinear technologies are often applied to eliminate power line channel noise, such as Clipping, Blanking and Clipping/Blanking technologies, but these research methods all have to work well under a certain signal-to-noise ratio, and only consider the elimination of impulse noise; with the application and popularization of nonlinear electrical appliances, background noise in a medium and low voltage Power transmission and distribution network presents obvious non-stationarity and non-Gaussian characteristics, impact noise and non-stationary non-Gaussian noise exist, a common low-pass filter cannot achieve an ideal filtering effect in a non-stationary non-Gaussian noise environment, and the performance of a Power Line communication system (PLC) is seriously influenced.
Disclosure of Invention
The invention aims to provide a method and a system for filtering non-stationary non-Gaussian noise in a PLC communication signal, so as to solve the problem of low efficiency of filtering the non-stationary non-Gaussian noise in a PLC communication system.
In order to achieve the purpose, the invention provides the following scheme:
a method for filtering non-stationary non-Gaussian noise in a PLC communication signal comprises the following steps:
acquiring an actually measured PLC communication signal sequence and the number of multi-scale decomposition layers in a PLC communication system; the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence;
determining the cut-off frequency of a multilayer low-pass filter according to the number of the multi-scale decomposition layers;
performing low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multi-layer low-pass filter, and determining each layer of the filtered PLC communication signal sequence;
acquiring a PLC communication signal sequence after current layer filtering;
determining the length of a time window of the current layer according to the PLC communication signal sequence filtered by the current layer;
performing point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence;
determining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window;
according to the sequence of the number of the multi-scale decomposition layers from large to small, restoring the filtered PLC communication signal sequence of each layer according to the pseudo Wigner-Ville distribution, and determining a restored PLC communication signal sequence;
performing linear interpolation processing on the recovered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small, and determining the PLC communication signal sequence after interpolation;
and filtering non-stationary non-Gaussian noise in the PLC communication system from the last layer of the multi-scale decomposition layer according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer.
Optionally, the determining the cut-off frequency of the multilayer low-pass filter according to the number of the multi-scale decomposition layers specifically includes:
according to the formulaDetermining a cut-off frequency of a multi-layer low-pass filter; wherein the content of the first and second substances,cut-off frequency of the multi-layer low-pass filter; c. CC is the total number of multi-scale decomposition layers, and C is 1,2, …, C.
Optionally, the determining the length of the time window of the current layer according to the filtered PLC communication signal sequence of the current layer specifically includes:
acquiring the sampling frequency and the main frequency of the PLC communication signal sequence after the current layer is filtered;
according to the formulaDetermining the length of a current layer time window; wherein the content of the first and second substances,the length of a current layer time window;filtering the PLC communication signal sequence P of the current layercThe sampling frequency of (d);filtering the PLC communication signal sequence P of the current layercThe dominant frequency of (c); t iscAnd the sampling interval of the PLC communication signal sequence after the current layer is filtered.
Optionally, the performing point-to-point processing on the power signal in the PLC communication signal sequence after the current layer filtering to construct an analytic sequence specifically includes:
according to the formulaPerforming point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence; wherein z (n) is an analytic value for constructing the nth point; mu is a modulation coefficient, mu is more than 1 and less than or equal to 2; pc(j) For the current layer signal sequence PcThe jth element in (a).
Optionally, the determining the pseudo-Wigner-Ville distribution of the parsing sequence in the length of the current layer time window specifically includes:
according to the formulaDetermining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; wherein, PWz c(n, f) is an analytic sequence zc(n) time window length in current layerA pseudo Wigner-Ville distribution below; h isc(m) is a function of a time window;is zcConjugation of (n-m), zc(n + m) is a real number,zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, and f is the frequency.
A non-stationary non-gaussian noise filtering system comprising:
the signal sequence and decomposition layer number acquisition module is used for acquiring an actually measured PLC communication signal sequence and a multi-scale decomposition layer number in the PLC communication system; the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence;
the multilayer low-pass filter cut-off frequency determining module is used for determining the cut-off frequency of the multilayer low-pass filter according to the number of the multi-scale decomposition layers;
the low-pass filtering processing module is used for performing low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multi-layer low-pass filter to determine the PLC communication signal sequence after each layer of filtering;
the PLC communication signal sequence obtaining module is used for obtaining the PLC communication signal sequence after the current layer is filtered;
a current layer time window length determining module, configured to determine a current layer time window length according to the PLC communication signal sequence filtered by the current layer;
the analysis sequence construction module is used for performing point-by-point processing on the power signals in the PLC communication signal sequence after the current layer of filtering to construct an analysis sequence;
the pseudo Wigner-Ville distribution determining module is used for determining the pseudo Wigner-Ville distribution of the analytic sequence under the current layer time window length;
the recovery module is used for recovering each layer of the filtered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small and the pseudo Wigner-Ville distribution, and determining a recovered PLC communication signal sequence;
the linear interpolation processing module is used for performing linear interpolation processing on the recovered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small to determine the PLC communication signal sequence after interpolation;
and the non-stationary non-Gaussian noise filtering module is used for filtering the non-stationary non-Gaussian noise in the PLC communication system from the last layer of the multi-scale decomposition layer according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer.
Optionally, the multi-layer low-pass filter cut-off frequency determining module specifically includes:
a multi-layer low-pass filter cut-off frequency determining unit for determining the cut-off frequency according to the formulaDetermining a cut-off frequency of a multi-layer low-pass filter; wherein the content of the first and second substances,cut-off frequency of the multi-layer low-pass filter; c is the number of multi-scale decomposition layers, C is the total number of multi-scale decomposition layers, and C is 1,2, …, C.
Optionally, the module for determining the length of the current-layer time window specifically includes:
the sampling frequency and main frequency acquisition unit is used for acquiring the sampling frequency and main frequency of the PLC communication signal sequence after the current layer is filtered;
a current layer time window length determining unit for determining the length of the current layer time window according to a formulaDetermining the length of a current layer time window; wherein the content of the first and second substances,the length of a current layer time window;filtering the PLC communication signal sequence P of the current layercThe sampling frequency of (d);filtering the PLC communication signal sequence P of the current layercThe dominant frequency of (c); t iscAnd the sampling interval of the PLC communication signal sequence after the current layer is filtered.
Optionally, the parsing sequence building module specifically includes:
a parsing sequence construction unit for constructing a parsing sequence according to a formulaPerforming point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence; wherein z (n) is an analytic value for constructing the nth point; mu is a modulation coefficient, mu is more than 1 and less than or equal to 2; pc(j) For the current layer signal sequence PcThe jth element in (a).
Optionally, the pseudo-Wigner-Ville distribution determining module specifically includes:
a pseudo Wigner-Ville distribution determining unit for determining the distribution of the Wigner-Ville according to a formulaDetermining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; wherein, PWz c(n, f) is an analytic sequence zc(n) time window length in current layerA pseudo Wigner-Ville distribution below; h isc(m) is a function of a time window;is zcConjugation of (n-m), zc(n + m) is a real number,zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, and f is the frequency.
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 non-stationary non-Gaussian noise in a PLC communication signal, which are used for filtering an actually measured PLC communication signal sequence and utilizing pseudo Wigner-Ville distribution, thereby overcoming the non-stationary characteristic of a power signal, having a stronger filtering effect on the non-stationary non-Gaussian noise in the PLC communication signal and further improving the filtering efficiency of the non-stationary non-Gaussian noise in a PLC communication system.
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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 flowchart of a method for filtering non-stationary non-gaussian noise in a PLC communication signal according to the present invention;
FIG. 2 is a flow chart of the adaptive time-frequency domain filtering algorithm based on multi-scale decomposition according to the present invention;
fig. 3 is a structural diagram of a system for filtering non-stationary non-gaussian noise 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 non-stationary non-Gaussian noise in a PLC communication signal, which can improve the filtering efficiency of the non-stationary non-Gaussian noise in a PLC communication system.
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 non-stationary non-gaussian noise in a PLC communication signal, as shown in fig. 1, the method for filtering non-stationary non-gaussian noise in a PLC communication signal includes:
step 101: acquiring an actually measured PLC communication signal sequence and the number of multi-scale decomposition layers in a PLC communication system; and the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence.
Fig. 2 is a flowchart of the adaptive time-frequency domain filtering algorithm based on multi-scale decomposition according to the present invention, as shown in fig. 2, inputting data: inputting measured PLC communication signal sequence P0=[P(1),P(2),…,P(N)]N is the length of the power signal sequence and the sampling period is T0。
Step 102: and determining the cut-off frequency of the multilayer low-pass filter according to the number of the multi-scale decomposition layers.
The number of layers C for multi-scale decomposition is input, and the number of layers for multi-scale decomposition of the power signal is generally selected to be 3-6.
Determining the cut-off frequency of the multi-layer low-pass filter according to the number of the multi-scale decomposition layers
Step 103: and performing low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multi-layer low-pass filter, and determining the filtered PLC communication signal sequence of each layer.
Assuming that the layer number currently undergoing decomposition is C, C is 1,2, …, C; the signal sequence obtained after the last layer of processing is Pc-1Wherein, the original signal without hierarchical processing is P0。
Data filtering of layer c: for the signal sequence Pc-1With a Gaussian low-pass filter cut-off frequency of
The signal after filtering and down-sampling of this layer is denoted as Pc。
Step 104: and acquiring the PLC communication signal sequence after the current layer is filtered.
Step 105: and determining the length of the time window of the current layer according to the PLC communication signal sequence filtered by the current layer.
Calculating the time window length of the current layer WhereinIs the current layer signal PcThe sampling frequency of (d);is the current layer signal PcThe dominant frequency of (c).
Step 106: and performing point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence.
For the current layer signal sequence PcThe data in (1) is processed point by point.
Assuming that the data point number currently processed is n, an analytic value z (n) of the nth point is constructed:mu is a modulation coefficient, mu is more than 1 and less than or equal to 2, can be arbitrarily taken according to actual conditions, and has no essential influence;P c(j) For the current layer signal sequence PcThe jth element in (a).
Step 107: and determining the pseudo Wigner-Ville distribution of the analysis sequence under the current layer time window length.
Calculating the analytic sequence zc(n) time window length in current layerPseudo Wigner-Ville distribution PWz c(n,f):Wherein h isc(m) is a function of a time window;is zcConjugation of (n-m), zc(n + m) is a real number,zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, f is the numberFrequency.
Step 108: and restoring the filtered PLC communication signal sequence of each layer according to the sequence of the number of the multi-scale decomposition layers from large to small and the pseudo Wigner-Ville distribution, and determining the restored PLC communication signal sequence.
Restoring the signal of the current layer Until all layers are processed, a series of signal recovery data are obtained:since each layer recovers dataWith different frequency spectrums and different sampling rates, the power data of each layer is processed by executing steps 109 to 110.
Step 109: and performing linear interpolation processing on the recovered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small, and determining the PLC communication signal sequence after interpolation.
Step 110: and filtering non-stationary non-Gaussian noise in the PLC communication system from the last layer of the multi-scale decomposition layer according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer.
Restoring data to the last layer (i.e., layer C)Linear interpolation processing is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofAt this time, twice as muchIs the same as the data sampling rate of the previous layer (i.e., layer C-1).
The following processing is performed in descending order of layer numbers: assume that the sequence number of the current layer is c.
The current layer has two data sequences: original recovery dataAnd the upper layer (c +1 th layer) recovers dataObtained after interpolationA sequence of data. Obtaining the data recovery sequence of the current layer according to the two sequences
Final recovery sequence for current layerLinear interpolation is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofTwice as much. At this timeIs the same as the data sampling rate of the previous layer (i.e., layer c-2).
Repeating the steps until c is 1, and finishing to obtain the data sequence after the original signal sequence is filteredThe sequence is the sequence to be solved, the processing is finished, and the unstable non-Gaussian noise in the original signal sequence (namely the actually measured PLC communication signal sequence) is filtered.
When the pseudo Wigner-Ville time frequency distribution is obtained, the optimal window length is determined according to the main frequency hierarchy of the data, and time frequency distribution calculation and data recovery are carried out hierarchically, so that non-stable non-Gaussian noise is filtered more effectively.
Fig. 3 is a structural diagram of a non-stationary non-gaussian noise filtering system provided in the present invention, and as shown in fig. 3, a non-stationary non-gaussian noise filtering system includes:
a signal sequence and decomposition layer number acquisition module 301, configured to acquire an actually measured PLC communication signal sequence and a multi-scale decomposition layer number in a PLC communication system; and the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence.
A multi-layer low-pass filter cut-off frequency determining module 302, configured to determine a multi-layer low-pass filter cut-off frequency according to the number of multi-scale decomposition layers.
The multi-layer low-pass filter cut-off frequency determination module 302 specifically includes: a multi-layer low-pass filter cut-off frequency determining unit for determining the cut-off frequency according to the formulaDetermining a cut-off frequency of a multi-layer low-pass filter; wherein the content of the first and second substances,cut-off frequency of the multi-layer low-pass filter; c is the number of multi-scale decomposition layers, C is moreThe total number of scale-decomposition layers, C, is 1,2, …, C.
And a low-pass filtering processing module 303, configured to perform low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multilayer low-pass filter, and determine a filtered PLC communication signal sequence of each layer.
And the current layer filtered PLC communication signal sequence obtaining module 304 is configured to obtain a current layer filtered PLC communication signal sequence.
A current layer time window length determining module 305, configured to determine a current layer time window length according to the PLC communication signal sequence after the current layer filtering.
The current-layer time window length determining module 305 specifically includes: the sampling frequency and main frequency acquisition unit is used for acquiring the sampling frequency and main frequency of the PLC communication signal sequence after the current layer is filtered; a current layer time window length determining unit for determining the length of the current layer time window according to a formulaDetermining the length of a current layer time window; wherein the content of the first and second substances,the length of a current layer time window;filtering the PLC communication signal sequence P of the current layercThe sampling frequency of (d);filtering the PLC communication signal sequence P of the current layercThe dominant frequency of (c); t iscAnd the sampling interval of the PLC communication signal sequence after the current layer is filtered.
And an analytic sequence constructing module 306, configured to perform point-to-point processing on the power signal in the PLC communication signal sequence after the current layer is filtered, and construct an analytic sequence.
The parsing sequence construction module 306 specifically includes: solution (II)A sequence-analyzing construction unit for constructing a sequence according to a formulaPerforming point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence; wherein z (n) is an analytic value for constructing the nth point; mu is a modulation coefficient, mu is more than 1 and less than or equal to 2; pc(j) For the current layer signal sequence PcThe jth element in (a).
And a pseudo-Wigner-Ville distribution determining module 307, configured to determine a pseudo-Wigner-Ville distribution of the parsing sequence in the length of the current layer time window.
The pseudo Wigner-Ville distribution determining module 307 specifically includes: a pseudo Wigner-Ville distribution determining unit for determining the distribution of the Wigner-Ville according to a formulaDetermining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; wherein, PWz c(n, f) is an analytic sequence zc(n) time window length in current layerA pseudo Wigner-Ville distribution below; h isc(m) is a function of a time window;is zcConjugation of (n-m), zc(n + m) is a real number,zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, and f is the frequency.
And a restoring module 308, configured to restore the filtered PLC communication signal sequence of each layer according to the pseudo-Wigner-Ville distribution in order of the number of multi-scale decomposition layers from large to small, and determine to restore the PLC communication signal sequence.
And the linear interpolation processing module 309 is configured to perform linear interpolation processing on the recovered PLC communication signal sequence according to the sequence from the large number of the multi-scale decomposition layers to the small number of the multi-scale decomposition layers, and determine the interpolated PLC communication signal sequence.
And a non-stationary non-gaussian noise filtering module 310, configured to filter, starting from the last layer of the multi-scale decomposition layer, non-stationary non-gaussian noise in the PLC communication system according to the recovered PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer.
The filtering method and the system provided by the invention are applied to a signal filter of a PLC communication system, can effectively filter background noise in a PLC communication signal, particularly non-stationary non-Gaussian noise, and have higher calculation speed and simpler structure.
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 (10)
1. A method for filtering non-stationary non-Gaussian noise in a PLC communication signal is characterized by comprising the following steps:
acquiring an actually measured PLC communication signal sequence and the number of multi-scale decomposition layers in a PLC communication system; the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence;
determining the cut-off frequency of a multilayer low-pass filter according to the number of the multi-scale decomposition layers;
performing low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multi-layer low-pass filter, and determining each layer of the filtered PLC communication signal sequence;
acquiring a PLC communication signal sequence after current layer filtering;
determining the length of a time window of the current layer according to the PLC communication signal sequence filtered by the current layer;
performing point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence;
determining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window;
according to the sequence of the number of the multi-scale decomposition layers from large to small, restoring the filtered PLC communication signal sequence of each layer according to the pseudo Wigner-Ville distribution, and determining a restored PLC communication signal sequence;
performing linear interpolation processing on the recovered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small, and determining the PLC communication signal sequence after interpolation;
filtering non-stationary non-Gaussian noise in the PLC communication system according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer from the last layer of the multi-scale decomposition layer;
restoring data to the last layerLinear interpolation processing is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofAt this time, twice as muchThe data sampling rate of (a) is the same as the data sampling rate of the previous layer;
the following processing is performed in descending order of layer numbers: assuming that the sequence number of the current layer is c;
the current layer has two data sequences: original recovery dataAnd the upper layer recovers the dataObtained after interpolationA data sequence; obtaining the data recovery sequence of the current layer according to the two sequences
Final recovery sequence for current layerLinear interpolation is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofTwice of; at this timeThe data sampling rate of (a) is the same as the data sampling rate of the previous layer;
repeating the steps until c is 1, and finishing to obtain the data sequence after the original signal sequence is filteredThe sequence is the sequence to be solved, the processing is finished, and the unstable non-Gaussian noise in the actually measured PLC communication signal sequence is filtered.
2. A filtering method according to claim 1, wherein the determining a cut-off frequency of a multi-layer low-pass filter according to the number of multi-scale decomposition layers specifically includes:
according to the formulaDetermining a cut-off frequency of a multi-layer low-pass filter; wherein the content of the first and second substances,cut-off frequency of the multi-layer low-pass filter; c is the number of multi-scale decomposition layers, C is the total number of multi-scale decomposition layers, and C is 1,2, …, C.
3. A filtering method according to claim 2, wherein the determining a length of a time window of a current layer according to the filtered PLC communication signal sequence of the current layer specifically includes:
acquiring the sampling frequency and the main frequency of the PLC communication signal sequence after the current layer is filtered;
according to the formulaDetermining the length of a current layer time window; wherein the content of the first and second substances,the length of a current layer time window;filtering the PLC communication signal sequence P of the current layercThe sampling frequency of (d);filtering the PLC communication signal sequence P of the current layercThe dominant frequency of (c); t iscAnd the sampling interval of the PLC communication signal sequence after the current layer is filtered.
4. A filtering method according to claim 3, wherein the performing point-by-point processing on the power signal in the PLC communication signal sequence after the current layer filtering to construct an analytic sequence specifically includes:
according to the formulaPerforming point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence; wherein z (n) is an analytic value for constructing the nth point; mu is a modulation coefficient, mu is more than 1 and less than or equal to 2; pc(j) For the current layer signal sequence PcThe jth element in (a).
5. A filtering method according to claim 4, wherein the determining a pseudo-Wigner-Ville distribution of the analytic sequence over the length of the current layer time window specifically includes:
according to the formulaDetermining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; wherein, PWz c(n, f) is an analytic sequence zc(n) Time window length at current layerA pseudo Wigner-Ville distribution below; h isc(m) is a function of a time window; z is a radical ofc*(n-m) is zcConjugation of (n-m), zc(n + m) is a real number, zc*(n-m)=zc(n-m);zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, and f is the frequency.
6. A system for filtering non-stationary non-gaussian noise, comprising:
the signal sequence and decomposition layer number acquisition module is used for acquiring an actually measured PLC communication signal sequence and a multi-scale decomposition layer number in the PLC communication system; the multi-scale decomposition layer number is used for decomposing the actually measured PLC communication signal sequence;
the multilayer low-pass filter cut-off frequency determining module is used for determining the cut-off frequency of the multilayer low-pass filter according to the number of the multi-scale decomposition layers;
the low-pass filtering processing module is used for performing low-pass filtering processing on the actually measured PLC communication signal sequence layer by layer according to the number of multi-scale decomposition layers and the cut-off frequency of the multi-layer low-pass filter to determine the PLC communication signal sequence after each layer of filtering;
the PLC communication signal sequence obtaining module is used for obtaining the PLC communication signal sequence after the current layer is filtered;
a current layer time window length determining module, configured to determine a current layer time window length according to the PLC communication signal sequence filtered by the current layer;
the analysis sequence construction module is used for performing point-by-point processing on the power signals in the PLC communication signal sequence after the current layer of filtering to construct an analysis sequence;
the pseudo Wigner-Ville distribution determining module is used for determining the pseudo Wigner-Ville distribution of the analytic sequence under the current layer time window length;
the recovery module is used for recovering each layer of the filtered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small and the pseudo Wigner-Ville distribution, and determining a recovered PLC communication signal sequence;
the linear interpolation processing module is used for performing linear interpolation processing on the recovered PLC communication signal sequence according to the sequence of the number of the multi-scale decomposition layers from large to small to determine the PLC communication signal sequence after interpolation;
the non-stationary non-Gaussian noise filtering module is used for filtering non-stationary non-Gaussian noise in the PLC communication system from the last layer of the multi-scale decomposition layer according to the recovery PLC communication signal sequence of the current layer and the interpolated PLC communication signal sequence of the previous layer;
restoring data to the last layerLinear interpolation processing is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofAt this time, twice as muchThe data sampling rate of (a) is the same as the data sampling rate of the previous layer;
the following processing is performed in descending order of layer numbers: assuming that the sequence number of the current layer is c;
the current layer has two data sequences: original recovery dataAnd the upper layer recovers the dataObtained after interpolationA data sequence; obtaining the data recovery sequence of the current layer according to the two sequences
Final recovery sequence for current layerLinear interpolation is carried out to obtain the interpolated data sequenceRequire thatAt a sampling rate ofTwice of; at this timeThe data sampling rate of (a) is the same as the data sampling rate of the previous layer;
7. The filtering system according to claim 6, wherein the multi-layer low-pass filter cut-off frequency determination module specifically comprises:
a multi-layer low-pass filter cut-off frequency determining unit for determining the cut-off frequency according to the formulaDetermining a cut-off frequency of a multi-layer low-pass filter; wherein the content of the first and second substances,cut-off frequency of the multi-layer low-pass filter; c is the number of multi-scale decomposition layers, C is the total number of multi-scale decomposition layers, and C is 1,2, …, C.
8. The filtering system according to claim 7, wherein the module for determining the length of the time window of the current layer specifically comprises:
the sampling frequency and main frequency acquisition unit is used for acquiring the sampling frequency and main frequency of the PLC communication signal sequence after the current layer is filtered;
a current layer time window length determining unit for determining the length of the current layer time window according to a formulaDetermining the length of a current layer time window; wherein the content of the first and second substances,the length of a current layer time window;filtering the PLC communication signal sequence P of the current layercThe sampling frequency of (d);filtering the PLC communication signal sequence P of the current layercThe dominant frequency of (c); t iscAnd the sampling interval of the PLC communication signal sequence after the current layer is filtered.
9. A filtering system according to claim 8, wherein the parsing sequence construction module specifically comprises:
a parsing sequence construction unit for constructing a parsing sequence according to a formulaPerforming point-by-point processing on the power signals in the PLC communication signal sequence after the current layer is filtered, and constructing an analytic sequence; wherein z (n) is an analytic value for constructing the nth point; mu is a modulation coefficient, mu is more than 1 and less than or equal to 2; pc(j) For the current layer signal sequence PcThe jth element in (a).
10. A filtering system according to claim 9, wherein said pseudo-Wigner-Ville distribution determining module comprises in particular:
a pseudo Wigner-Ville distribution determining unit for determining the distribution of the Wigner-Ville according to a formulaDetermining pseudo Wigner-Ville distribution of the analytic sequence under the length of the current layer time window; wherein, PWz c(n, f) is an analytic sequence zc(n) time window length in current layerA pseudo Wigner-Ville distribution below; h isc(m) is a function of a time window; z is a radical ofc*(n-m) is zcConjugation of (n-m), zc(n + m) is a real number, zc*(n-m)=zc(n-m);zc(n + m) is the constructed analytical sequence zcAnalytic value of (n) < th > + m points, e-j4πfmCos (4 pi fm) -isin (4 pi fm), n is the number, m is the number, and f is the frequency.
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