CN110781445A - Incremental frequency domain transformation system and method for time domain stream data - Google Patents
Incremental frequency domain transformation system and method for time domain stream data Download PDFInfo
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Abstract
The invention provides an incremental frequency domain transformation system and a transformation method of time domain stream data, wherein the transformation system comprises an input module, a stream data processing frame and an output module; an input module, configured to input time-series stream data to the stream data processing framework, where the time-series stream data includes time-domain stream data of a plurality of time points; the stream data processing framework is used for carrying out fast Fourier transform on the time domain stream data of each time point to form frequency domain stream data corresponding to the time domain stream data of each time point; and the output module is used for outputting the frequency domain stream data in the stream data processing framework. The invention carries out fast Fourier transform on each single-point time domain stream data aiming at the time sequence stream data, and has higher real-time performance compared with the traditional batch processing of the time sequence data.
Description
Technical Field
The invention belongs to the technical field of data processing, and particularly relates to an incremental frequency domain transformation system and method for time domain stream data.
Background
The method comprises the steps that multi-channel sensor monitoring is arranged on various devices in an industrial field, monitoring data essentially flow along time, time series flow data are formed, wherein the time series flow data are time domain data, and the time domain flow data need to be converted into frequency domain flow data in the data processing process.
In the existing transformation mode, time domain and frequency domain transformation is usually carried out on time series stream data in batches, and under the background of big data, the traditional single-machine data processing technology is not enough to support the processing of mass data in an industrial field. Meanwhile, the traditional data batch processing technology is difficult to meet the real-time requirement of stream data processing.
Disclosure of Invention
To overcome the above-mentioned existing problems or to at least partially solve the above-mentioned problems, embodiments of the present invention provide an incremental frequency domain transform system and transform method for time domain stream data.
According to a first aspect of the embodiments of the present invention, there is provided an incremental frequency domain transform system for time domain stream data, comprising an input module, a stream data processing framework, and an output module;
the input module is configured to input time-series stream data to the stream data processing framework, where the time-series stream data includes time-domain stream data of a plurality of time points;
the stream data processing framework is used for performing fast Fourier transform on the time domain stream data of each time point to form frequency domain stream data corresponding to the time domain stream data of each time point;
the output module is used for outputting the frequency domain stream data in the stream data processing framework.
On the basis of the technical scheme, the invention can be further improved as follows.
Further, the stream data processing framework comprises a queue buffering module, a data position overturning module, a Fourier transform module and a data position recovering module;
the queue buffer module is used for buffering the time domain stream data with the preset length input by the input module;
the data position turning module is used for adjusting the position of each time domain stream data in the queue buffer module according to a turning rule so as to rearrange the position of each time domain stream data;
the Fourier transform module is used for carrying out fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data;
and the data position recovery module is used for overturning the position of each frequency domain stream data again and recovering the position of each frequency domain stream data to the position of each time domain stream data.
Further, the data position turning module comprises a conversion unit and a turning operation unit;
the conversion unit is used for converting the position subscript of each time domain stream data in the queue buffer module from decimal to binary to obtain the position subscript of the binary form corresponding to each time domain stream data;
the overturning operation unit is used for down marking the post log of the position of each binary system form corresponding to the time domain stream data
2And turning N bits to obtain the position subscript of each turned time domain stream data, wherein N is the number of the time domain stream data in the queue buffer module.
Further, the streaming data processing framework further comprises a storage module;
the storage module is used for storing the position subscript of the binary form corresponding to each time domain stream data converted by the conversion unit into an array;
correspondingly, the flipping operation unit is specifically configured to store the post log of the position subscript of the binary form corresponding to each time domain stream data in the array
2And turning the N bits to obtain the position subscript of each turned time domain stream data.
Further, the Fourier transform module comprises a discrete Fourier transform unit, a merging calculation unit and a write-back queue unit;
the discrete Fourier transform unit is used for performing fast Fourier transform on each time domain stream data after the position is turned over to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast Fourier transform;
the merging calculation unit is configured to merge a plurality of odd-numbered data corresponding to each time domain stream data, and merge a plurality of even-numbered data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data;
the write-back queue unit is used for writing back each frequency domain stream data into the queue buffer module.
According to a second aspect of the embodiments of the present invention, there is provided a method for incremental frequency domain transform of time domain stream data, including:
storing time series stream data in a queue;
and performing fast Fourier transform on the time domain stream data of each time point in the time sequence stream data in the queue, and converting the time domain stream data of each time point into corresponding frequency domain stream data.
Further, the fast fourier transforming the time domain stream data at each time point in the time series stream data in the queue includes:
adjusting the position of each time domain stream data in the queue according to a turnover rule so as to rearrange the position of each time domain stream data;
and performing fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data.
Further, the adjusting the position of each time domain stream data in the queue according to the flipping rule includes:
converting each time domain stream data into binary from decimal in the queue position subscript to obtain a binary position subscript corresponding to each time domain stream data;
the overturning operation unit is used for down marking the post log of the position of each binary system form corresponding to the time domain stream data
2And turning N bits to obtain the position subscript of each turned time domain stream data, wherein N is the number of the time domain stream data in the queue buffer module.
Further, the performing fast fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data includes:
performing fast Fourier transform on each time domain stream data after the position is turned over to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast Fourier transform;
and merging a plurality of odd-numbered data corresponding to each time domain stream data, and merging a plurality of even-numbered data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data.
The embodiment of the invention provides an incremental frequency domain transformation system and method of time domain stream data, aiming at time sequence stream data, wherein the time sequence data is the time domain stream data which is continuously increased, and the time data volume is larger and larger.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and those skilled in the art can also obtain other drawings according to the drawings without creative efforts.
Fig. 1 is a schematic diagram of an overall structure of an incremental frequency domain transform system for time domain stream data according to an embodiment of the present invention;
fig. 2 is a block diagram illustrating connection of modules inside a streaming data processing framework according to an embodiment of the present invention;
FIG. 3 is a block diagram illustrating the internal connections of the data position flipping module according to an embodiment of the present invention;
FIG. 4 is a block diagram of the internal connections of a Fourier transform module provided in one embodiment of the present invention;
fig. 5 is a flowchart of an incremental frequency domain transformation method for time domain stream data according to an embodiment of the present invention.
Detailed Description
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and those skilled in the art can also obtain other drawings according to the drawings without creative efforts.
In an embodiment of the present invention, a system for incremental frequency domain transformation of time domain stream data is provided, and fig. 1 is a system for incremental frequency domain transformation of time domain stream data provided in an embodiment of the present invention, which includes an input module 1, a stream data processing framework 2, and an output module 3.
An input module 1 configured to input time-series stream data to a stream data processing framework 2, the time-series stream data including time-domain stream data of a plurality of time points;
the stream data processing framework 2 is used for performing fast fourier transform on the time domain stream data of each time point to form frequency domain stream data corresponding to the time domain stream data of each time point;
and the output module 3 is used for outputting the frequency domain stream data in the stream data processing framework.
It can be understood that, in the prior art, when time domain stream data is transformed into frequency domain stream data, a batch of time series stream data is stored as offline data and then transformed in batch, because the time series stream data includes time domain stream data at each time point, the time domain stream data is updated in real time along with the change of time, and the data volume is larger and larger, and the time domain stream data is incremental along with the time, the real-time performance of the time domain and frequency domain transformation mode in the prior art is low, and the time domain and frequency domain transformation mode is essentially offline transformation. In order to solve the problem, the embodiment of the invention performs fast fourier transform on the time domain stream data at each time point to obtain the frequency domain stream data corresponding to the time domain stream data at each time point, and performs fast fourier transform on each single-point time domain stream data for time series stream data.
Referring to fig. 2, on the basis of the above embodiments, in the embodiment of the present invention, the stream data processing framework 2 includes a queue buffering module 21, a data position flipping module 22, a fourier transform module 23, and a data position restoring module 24.
The queue buffer module 21 is configured to buffer time domain stream data with a predetermined length input by the input module 1;
the data position flipping module 22 is configured to adjust a position of each time domain stream data in the queue buffering module 21 according to a flipping rule, so as to rearrange the position of each time domain stream data;
the fourier transform module 23 is configured to perform fast fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data;
the data position recovery module 24 is configured to flip the position of each frequency domain stream data again, and recover the position of each frequency domain stream data to the position of each time domain stream data.
It is to be understood that the embodiment of the present invention implements fast fourier transform on the time domain stream data at each time point in the stream data processing framework 2. Specifically, the stream data processing framework 2 maintains a queue in the memory, where the queue is used to buffer the input time series stream data, where the time series stream data includes time domain stream data corresponding to multiple time points, that is, each time point corresponds to one time domain stream data.
After the time domain stream data corresponding to each time point is stored in the queue, each time domain stream data corresponds to the position of the time domain stream data, when the time domain stream data is subjected to Fourier transform, the position of each time domain stream data in the queue is adjusted according to an overturning rule, and the position of each time domain stream data is rearranged. And performing fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data.
And after each original time domain stream data is subjected to fast Fourier transform, each position after overturning is overturned again and is restored to the original position, so that the conversion from each time domain stream data in the queue to the frequency domain stream data is realized.
On the basis of the above embodiments, in the embodiment of the present invention, referring to fig. 3, the data position flipping module 22 includes a conversion unit 221 and a flipping operation unit 222;
the conversion unit 221 is configured to convert the position index of each time domain stream data in the queue buffer module 21 from decimal to binary, so as to obtain a position index in a binary form corresponding to each time domain stream data;
the flip operation unit 222 is configured to down-log the position subscript of the binary format corresponding to each time domain stream data
2And inverting the N bits to obtain a position index of each inverted time domain stream data, where N is the number of the time domain stream data in the queue buffer module 21 and may also be understood as the length of the time sequence stream data.
It can be understood that the position index corresponding to each time domain stream data in the queue is in a decimal form, and when the position of each time domain stream data in the queue is inverted, the position index in the decimal form of each time domain stream data in the queue is firstly converted into a binary form through the conversion unit 221, so as to obtain the position index in the binary form corresponding to each time domain stream data.
After the decimal position subscript of each time domain stream data is converted into the binary position subscript, the last log of the binary position subscript corresponding to each time domain stream data is recorded
2Turning over N bits to obtain each turned over bitThe position index of the time domain stream data, where N is the number of time domain stream data in the queue buffer module 21. For example, if the decimal form of the position subscript of a certain time domain stream data is 4, the corresponding binary form is 0100, and if N is 8, log is
2 8If the number is 3, the last three bits of 0100 are turned over, and the subscript of the turned position is 0001; and overturning the decimal position subscript of each time domain stream data to obtain the overturned position subscript of each time domain stream data.
On the basis of the above embodiments, in the embodiments of the present invention, the stream data processing framework further includes a storage module;
the storage module is configured to store the position index of the binary form corresponding to each time domain stream data converted by the conversion unit 221 in an array;
correspondingly, the flipping operation unit 222 is specifically configured to perform post-log of a position subscript of a binary form corresponding to each time domain stream data stored in the array
2And overturning the N bits to obtain the position subscript of each overturned time domain stream data.
It is understood that the stream data processing framework 2 opens up an array in the memory, and the stream data processing framework 2 includes a storage module, and the storage module is mainly used to store the position index of the binary form corresponding to each time domain stream data in the opened array.
On the basis of the above embodiments, in the embodiment of the present invention, referring to fig. 4, the fourier transform module 23 includes a discrete fourier transform unit 231, a merge calculation unit 232, and a write-back queue unit 233.
The discrete fourier transform unit 231 is configured to perform fast fourier transform on each time domain stream data after the position is flipped, so as to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast fourier transform;
a merging calculation unit 232, configured to merge multiple odd-numbered items of data corresponding to each time domain stream data, and merge multiple even-numbered items of data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data;
a write-back queue unit 233, configured to write back each frequency domain stream data into the queue buffer module 21.
It is understood that after performing the fast fourier transform on each time domain stream data, a plurality of odd-numbered data items and a plurality of even-numbered data items of each time domain stream data after performing the fast fourier transform are obtained. And for each time domain stream data, merging a plurality of odd-numbered data obtained after fast Fourier transform, and merging a plurality of even-numbered data to obtain frequency domain stream data corresponding to each time domain stream data.
And after the frequency domain stream data corresponding to each time domain stream data is obtained after fast Fourier transform, the rearranged position subscript is turned over again, the original position subscript is recovered, and then each time domain stream data at the original position is transformed into the corresponding frequency domain stream data through fast Fourier transform.
Referring to fig. 5, in another embodiment of the present invention, there is provided a method of incremental frequency domain transformation of time domain stream data, the method comprising: storing time series stream data in a queue; and performing fast Fourier transform on the time domain stream data of each time point in the time sequence stream data in the queue, and converting the time domain stream data of each time point into corresponding frequency domain stream data.
On the basis of the foregoing embodiments, in an embodiment of the present invention, performing fast fourier transform on time-domain stream data at each time point in time-series stream data in a queue includes:
adjusting the position of each time domain stream data in the queue according to a turnover rule so as to rearrange the position of each time domain stream data;
and performing fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data.
On the basis of the foregoing embodiments, in an embodiment of the present invention, the adjusting, according to a flipping rule, a position of each time domain stream data in the queue includes:
converting each time domain stream data into binary from decimal in the queue position subscript to obtain a binary position subscript corresponding to each time domain stream data;
the overturning operation unit is used for down marking the post log of the position of each binary system form corresponding to the time domain stream data
2And turning N bits to obtain the position subscript of each turned time domain stream data, wherein N is the number of the time domain stream data in the queue buffer module.
On the basis of the foregoing embodiments, in an embodiment of the present invention, the performing fast fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data includes:
performing fast Fourier transform on each time domain stream data after the position is turned over to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast Fourier transform;
and merging a plurality of odd-numbered data corresponding to each time domain stream data, and merging a plurality of even-numbered data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data.
In the process of merging a plurality of odd-numbered data and a plurality of even-numbered data obtained by performing fast fourier transform on each time domain stream data, the merging is performed according to the sequence shown in the formulas (1) to (2), that is to say
X[k+n/2]＝X[k]-t； (1)
X[k]＝X[k]+t； (2)
In the formula (I), the compound is shown in the specification,
for temporary variables, k is 0,1,2
N＝e
-j2π/NReferred to as twiddle factors. When the data length N is determined, each layer actually participating in calculation
Are all uniquely determined and when n is 1The recursive boundary is reached, indicating that no further merge calculations are to be performed.
According to the incremental frequency domain transformation system and the incremental frequency domain transformation method for the time domain stream data, provided by the embodiment of the invention, aiming at the time domain stream data, wherein the time domain stream data is continuously updated, and the time data volume is larger and larger, the embodiment of the invention carries out fast Fourier transformation on each single-point time domain stream data, and has higher real-time performance compared with the traditional batch processing of the time domain stream data.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (9)
1. An incremental frequency domain transformation system of time domain stream data is characterized by comprising an input module, a stream data processing frame and an output module;
the input module is configured to input time-series stream data to the stream data processing framework, where the time-series stream data includes time-domain stream data of a plurality of time points;
the stream data processing framework is used for performing fast Fourier transform on the time domain stream data of each time point to form frequency domain stream data corresponding to the time domain stream data of each time point;
the output module is used for outputting the frequency domain stream data in the stream data processing framework.
2. The incremental frequency-domain transform system of time-domain stream data of claim 1, wherein said stream data processing framework comprises a queue buffering module, a data position flipping module, a fourier transform module, and a data position recovery module;
the queue buffer module is used for buffering the time domain stream data with the preset length input by the input module;
the data position turning module is used for adjusting the position of each time domain stream data in the queue buffer module according to a turning rule so as to rearrange the position of each time domain stream data;
the Fourier transform module is used for carrying out fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data;
and the data position recovery module is used for overturning the position of each frequency domain stream data again and recovering the position of each frequency domain stream data to the position of each time domain stream data.
3. The incremental frequency-domain transform system of time-domain stream data of claim 2, wherein said data position flipping module comprises a conversion unit and a flipping operation unit;
the conversion unit is used for converting the position subscript of each time domain stream data in the queue buffer module from decimal to binary to obtain the position subscript of the binary form corresponding to each time domain stream data;
the overturning operation unit is used for down marking the post log of the position of each binary system form corresponding to the time domain stream data
2And turning N bits to obtain the position subscript of each turned time domain stream data, wherein N is the number of the time domain stream data in the queue buffer module.
4. The incremental frequency-domain transform system of time-domain stream data of claim 3, wherein said stream data processing framework further comprises a storage module;
the storage module is used for storing the position subscript of the binary form corresponding to each time domain stream data converted by the conversion unit into an array;
accordingly, the flip operation unitThe post log of the position subscript of the binary form corresponding to each time domain stream data stored in the array is specifically used for
2And overturning the N bits to obtain the position subscript of each overturned time domain stream data.
5. The incremental frequency-domain transform system of time-domain stream data of claim 3, wherein said Fourier transform module comprises a discrete Fourier transform unit, a merge computation unit, and a write-back queue unit;
the discrete Fourier transform unit is used for performing fast Fourier transform on each time domain stream data after the position is turned over to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast Fourier transform;
the merging calculation unit is configured to merge a plurality of odd-numbered data corresponding to each time domain stream data, and merge a plurality of even-numbered data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data;
the write-back queue unit is used for writing back each frequency domain stream data into the queue buffer module.
6. A method of incremental frequency domain transformation of time domain stream data, comprising:
storing time series stream data in a queue;
and performing fast Fourier transform on the time domain stream data of each time point in the time sequence stream data in the queue, and converting the time domain stream data of each time point into corresponding frequency domain stream data.
7. The system for incremental frequency-domain transformation of time-domain stream data according to claim 6, wherein said fast Fourier transforming in-line the time-domain stream data at each time point in the time-series stream data comprises:
adjusting the position of each time domain stream data in the queue according to a turnover rule so as to rearrange the position of each time domain stream data;
and performing fast Fourier transform on each time domain stream data after the position rearrangement to obtain frequency domain stream data corresponding to each time domain stream data.
8. The system for incremental frequency-domain transformation of time-domain stream data according to claim 7, wherein said adjusting the position of each time-domain stream data in said queue according to a flipping rule comprises:
converting each time domain stream data into binary from decimal in the queue position subscript to obtain a binary position subscript corresponding to each time domain stream data;
the overturning operation unit is used for down marking the post log of the position of each binary system form corresponding to the time domain stream data
2And turning N bits to obtain the position subscript of each turned time domain stream data, wherein N is the number of the time domain stream data in the queue buffer module.
9. The system for incremental frequency-domain transformation of time-domain stream data according to claim 7, wherein said performing a fast fourier transform on each time-domain stream data after position rearrangement to obtain frequency-domain stream data corresponding to each time-domain stream data comprises:
performing fast Fourier transform on each time domain stream data after the position is turned over to obtain a plurality of odd-numbered data and a plurality of even-numbered data after the fast Fourier transform;
and merging a plurality of odd-numbered data corresponding to each time domain stream data, and merging a plurality of even-numbered data corresponding to each time domain stream data to obtain frequency domain stream data corresponding to each time domain stream data.
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