CN109862005B - Efficient information compression characterization and decompression method and device for signal simulation - Google Patents
Efficient information compression characterization and decompression method and device for signal simulation Download PDFInfo
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Abstract
The invention discloses a high-efficiency information compression representation and decompression method and equipment for signal simulation, wherein the information compression representation method comprises the following steps: acquiring the characteristics of the signal; according to the obtained characteristics, utilizing an evaluation function to carry out channelized filtering, wherein the number of the filtered sub-channels is n, and the evaluation function is a criterion for guiding the channelized filtering; sequentially carrying out Down-conversion on the n sub-channels, wherein the Down-conversion Data of the ith sub-channel is Down _ DataiI is less than or equal to n; converting the frequency f of the ith sub-channeliCWriting information transmission protocol with channel label i; compressed information is generated. The invention obviously reduces the sampling frequency required by simulation through the technologies of channelization, frequency conversion, information fusion and the like, greatly reduces the simulation data volume, realizes the information compression of multi-carrier modulation signals, and improves the efficiency of cross-domain simulation of the system.
Description
Technical Field
The invention relates to the technical field of information processing, in particular to a method and equipment for representing and decompressing high-efficiency information compression for signal simulation.
Background
The simulation technology is a basis and means for realizing design and analysis of a high-integration system, is a channel for connecting a model and the model, and is also a means and medium for model calculation, analysis and signal transmission. With the development of dense wavelength division multiplexing systems and the emergence of complex microwave photonic systems, broadband complex multi-carrier modulation signals will become a normal state of future optical systems. Therefore, in the field of simulation, a high-precision simulation of such signals is urgently required.
Existing commercial software suitable for optical system simulation is only suitable for multi-carrier signal simulation in a single wavelength or a narrow wavelength range, and when the frequency (or spectrum) range of simulation is increased, the simulation time is exponentially increased. This is because the sampling rate of the system must satisfy the nyquist sampling law, i.e., 2 times (typically 2.5 times in practice) of the highest signal frequency, to achieve low-distortion simulation. For example, for an optical simulation system with frequencies in the range of 192.917THz to 193.415THz, the frequency span is as high as 0.5 THz. If the simulation is performed by a method based on the traditional Naguay sampling, a sampling rate of at least 400THz is required, and the data amount and the calculation amount are not easily endurable in any simulation system.
At present, the sampling rate required by a simulation system can be reduced to a certain extent by using a frequency conversion method for part of professional optical simulation systems. For single carrier (single wavelength) modulated signals, this approach can significantly reduce the sampling rate. For example, if only 193THz is present in the simulation system, the high frequency signal can be shifted to zero frequency by frequency conversion, and the simulation bandwidth and sampling rate of the system depend only on the bandwidth and rate of the microwave signal modulated by the system, which are generally GHz. However, this method is not effectively applicable to multicarrier modulated signals, particularly wideband high frequency multicarrier modulated signals. For example, the simulation frequency range is still 192.917THz to 193.415THz, and the optimal solution is to shift the center point of the broadband signal to zero frequency by using a frequency conversion method, wherein the frequency range after frequency conversion is +/-0.249 THz, and the highest frequency is still as high as 2.49 multiplied by 1011Hz, corresponding to a sampling frequency of 1 THz. The sampling rate and the amount of data of this method will increase and rise significantly with increasing spectral width.
For a complex optical system or a microwave photonic system in the future, the simulation method cannot well meet the high-precision simulation of broadband and high-frequency multi-carrier modulation signals due to the ultra-high sampling rate and the ultra-large data volume, so that the simulation result is more and more difficult to guide engineering design. Therefore, information compression of wideband complex multi-carrier modulation signals will be a key means for solving efficient simulation in cross-domain simulation.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: aiming at the problems in the prior art, the invention provides a high-efficiency information compression characterization and decompression method and equipment for signal simulation, aiming at the signal types of high-frequency and broadband wavelength division multiplexing, optical combs and the like in various systems such as microwave, optical, microwave photon and the like, and the broadband multi-carrier signal is translated to the vicinity of zero frequency through means of channelization, frequency conversion, signal fusion and the like, so that the sampling rate required by simulation is obviously reduced. Therefore, in the same simulation time, the total amount of simulated data is greatly reduced due to the low sampling rate, and the information compression of the multi-carrier modulation signal is realized. The method has great significance in cross-domain simulation, can obviously reduce the calculated amount in the simulation and shorten the simulation time.
The invention provides a high-efficiency information compression characterization method for signal simulation, which comprises the following steps:
acquiring the characteristics of the signal, preferably, the acquired characteristics comprise carrier wavelength and carrier number, and for the wavelength division multiplexing signal, the carrier wavelength and the carrier number are input by a user and can be directly extracted; and for the optical comb signal, a peak finding algorithm can be used for extraction.
And performing channelized filtering by using an evaluation function according to the acquired characteristics, wherein the number of the filtered sub-channels is n, and the evaluation function is a criterion for guiding the channelized filtering. Generally speaking, the narrower the channelized filtering bandwidth is, the lower the system sampling rate is, the shorter the computation time is, but the computation complexity caused by filtering is increased significantly; while the larger the filtering bandwidth, the less complex the computation will be, but the higher the sampling rate of the system, the more computation time will be. Therefore, an evaluation function is needed to guide the channelization filtering, thereby taking both the computational complexity and the computational time into account. Considering the sampling rate and the computational complexity of filtering together, the evaluation function is preferably: and limiting the number of carriers in each sub-channel to be not more than 2 so as to realize spectrum shifting near zero frequency.
Sequentially carrying out Down-conversion on the n sub-channels, wherein the Down-conversion Data of the ith sub-channel is Down _ DataiAnd i is less than or equal to n. Preferably, the down-converting the ith sub-channel comprises: detecting the peak signal frequency of the sub-channel to obtain the frequency conversion amount f of the sub-channeliCOf variable frequency quantity fiC=(fi1+fi2+……+fim) M, wherein fi1、fi2、……、fimThe peak frequency of each carrier in the sub-channel, and m is the number of carriers in the sub-channel; by the formula Down _ Datai=Datai×exp(-j2πfiCt) performs down-conversion of the sub-channel, wherein DataiIs the data of the ith sub-channel, and t is time.
Converting the frequency f of the ith sub-channeliCAnd channel number i, i.e. [ i, f ]iC,Down_Datai]。
Compressed information is generated.
Further, the generated compressed information has a transmission format of [1, f1C,Down_Data1,2,f2C,Down_Data2,…,n,fnC,Down_Datan]。
The method of the invention comprises the following characteristics: 1) the method is suitable for signals with discrete multi-carrier characteristics, such as wavelength division multiplexing and optical combs; 2) the method is also suitable for information compression of single carrier signals; 3) the sampling frequency of signal transmission and processing and the technical amount in the simulation process are obviously reduced. Generally, information compression has great significance in broadband complex multi-carrier modulation signal simulation, and the data volume in a simulation system can be remarkably reduced. Therefore, the invention can improve the efficiency of cross-domain simulation of microwave and light wave, and has great significance and application value in the field of system simulation.
Another aspect of the present invention provides an information decompression method for signal simulation, including: respectively extracting down-conversion data of each sub-channel according to the channel label; extracting the frequency conversion quantity of a sub-channel i according to an information transfer protocol, and carrying out up-conversion on the sub-channel i, wherein i is less than or equal to n, and n is the number of the sub-channels; and performing information fusion on the data subjected to the up-conversion processing of each sub-channel to complete information decompression.
In another aspect, the present invention provides an efficient information compression characterization apparatus for signal simulation, including: the characteristic extraction device is used for acquiring the characteristics of the signal; a channel dividing means for performing channel division by using the evaluation function based on the characteristics obtained by the characteristic extracting meansChannelizing filtering, wherein the number of the filtered sub-channels is n, and the evaluation function is a criterion for guiding the channelizing filtering; down-conversion device for Down-converting n sub-channels in turn, wherein the Down-conversion Data of the ith sub-channel is Down _ DataiI is less than or equal to n; information writing means for writing the frequency conversion f of the ith sub-channeliCWriting information transmission protocol with channel label i; compressed information generating means for generating compressed information.
Another aspect of the present invention provides an information decompression apparatus for signal emulation, including: the data extraction device is used for respectively extracting the down-conversion data of each sub-channel according to the channel label; the up-conversion device is used for extracting the frequency conversion quantity of the sub-channel i according to the information transfer protocol and up-converting the sub-channel i, wherein i is less than or equal to n, and n is the number of the sub-channels; and the information fusion device is used for carrying out information fusion on the data subjected to the up-conversion processing of each sub-channel so as to complete information decompression.
Another aspect of the present invention provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program, when executed by a processor, implements the steps of the method as described above.
The invention aims at the cross-domain simulation of a complex system, and can solve the problems of high sampling rate, large calculation amount and the like in the broadband complex multi-carrier modulation signal simulation process. Compared with the traditional simulation technology, the invention obviously reduces the sampling frequency required by simulation through the technologies of channelization, frequency conversion, information fusion and the like, greatly reduces the simulation data volume, realizes the information compression of multi-carrier modulation signals, and improves the efficiency of cross-domain simulation of the system.
Drawings
The invention will now be described, by way of example, with reference to the accompanying drawings, in which:
FIG. 1 is a flow chart of an information compression method according to an embodiment of the present invention;
FIG. 2 is a flow chart of information decompression according to an embodiment of the present invention;
FIG. 3 is a schematic signal spectrum according to an embodiment of the present invention;
FIGS. 4(a) -4(b) are schematic diagrams of the channelized filter characteristics of the present invention;
FIGS. 5(a) -5(c) are schematic diagrams of filtered frequency spectrums of channels according to embodiments of the present invention;
FIGS. 6(a) -6(c) are schematic diagrams of frequency spectrums of channels after down-conversion according to embodiments of the present invention;
FIG. 7 is a diagram illustrating an information delivery format according to an embodiment of the present invention;
fig. 8 is a diagram illustrating a decompression result of a multi-carrier modulated signal according to an embodiment of the present invention.
Detailed Description
All of the features disclosed in this specification, or all of the steps in any method or process so disclosed, may be combined in any combination, except combinations of features and/or steps that are mutually exclusive.
Any feature disclosed in this specification may be replaced by alternative features serving equivalent or similar purposes, unless expressly stated otherwise. That is, unless expressly stated otherwise, each feature is only an example of a generic series of equivalent or similar features.
Fig. 1 is a flowchart of an information compression method for a multicarrier modulation signal according to an embodiment of the present invention, and as shown in fig. 1, the information compression method includes:
And step 600, if not, performing down-conversion processing on the (i + 1) th sub-channel.
And step 700, if the value is equal to the value, completing information compression. In some embodiments, the compressed complete information delivery format is [1, f ]1C,Down_Data1,2,f2C,Down_Data2,…,n,fnC,Down_Datan]. In other embodiments, the compressed full information delivery format may be in other formats.
As shown in fig. 2, the method for decompressing information of a multicarrier modulation signal of this embodiment includes:
and step P01, extracting down-conversion data of each sub-channel according to the channel label.
And step P02, extracting the frequency conversion quantity of the sub-channel i according to the information transfer protocol, and performing up-conversion on the sub-channel i.
In step P03, it is determined whether i is equal to the number n of sub-channels.
And step P04, if not, performing up-conversion processing on the (i + 1) th sub-channel.
And step P05, if the sum is equal to the sum, performing information fusion on the data after up-conversion processing of each sub-channel, and completing information decompression.
The information compression characterization method and the decompression method for the multi-carrier modulation signal are introduced in detail, and the information compression characterization method and the decompression method are also suitable for information compression characterization and decompression of single-carrier modulation signals, when the signal is a single-carrier modulation signal, the number n of the sub-channels is 1, and information compression characterization or information decompression can be completed only by performing down-conversion processing or up-conversion processing on 1 sub-channel.
In a particular embodiment, information compression and decompression is performed for a typical Wavelength Division Multiplexed (WDM) multicarrier signal. First, a multi-wavelength signal is generated by matlab, the spectrum of which is shown in fig. 3. By spectral feature extraction, the WDM signal has 5 wavelengths (frequencies) of 1550nm (193.415THz), 1551nm (193.290THz), 1552nm (193.166THz), 1553nm (193.041THz) and 1554nm (192.917THz), respectively. Wherein an optical carrier at a frequency of 193.415THz modulates a microwave signal at a certain frequency.
As can be seen from fig. 3, the highest frequency of the signal is 193.415 THz. The multicarrier modulation signal requires 2.5 times the sampling rate of 193.415THz to achieve basic characterization and simulation as required by the nyst sampling law. According to experience, in order to obtain more accurate simulation, the sampling rate should be as high as 10 times the highest frequency, i.e. 2 × 1015. It is clear that at this sampling rate, even if only 1ms is simulated, 2 × 10 results12The amount of data of (a). This amount of data is unacceptable for any simulation system.
Based on this, the multi-carrier signal is subjected to channelization filtering to obtain the frequency conversion amount of each sub-channel. According to the evaluation function (or criterion) determined by the invention, the number of each sub-channel carrier after frequency conversion is not more than 2. Therefore, according to the characteristics of the multicarrier signal described above, there are two channelization filtering methods, the filtering characteristics of which are shown by dotted lines in fig. 4(a) and 4 (b). The first scheme is as follows: the two wavelengths are a subchannel, and because the number of carriers in the multicarrier modulation signal is odd, three subchannels (n is 3) are shared after filtering, two wavelengths are used in the first two subchannels, and only 1 wavelength is used in the second subchannel; scheme II: one wavelength is one subchannel, and 5 subchannels are divided. Table 1 compares the indexes of the sampling rate, the filtering times, the time ratio, and the like in the above two schemes. Obviously, the sampling frequency of scenario one is slightly higher than scenario two, but the time-cost ratio is significantly lower than scenario two. Therefore, the embodiment performs information compression by using channelization of scheme one.
Table 1 comparison of the performance of two channelized filtering schemes
The frequency spectrum of each subchannel after the channelization filtering is shown in fig. 5, where 5(a) is subchannel 1, 5(b) is subchannel 2, and 5(c) is subchannel 3. Therefore, the original multi-carrier modulation signal is divided into a double-carrier signal or a single-carrier signal, the spectrum complexity is obviously reduced, and a foundation is laid for information compression.
Next, the spectral peaks of the three sub-channels are extracted according to the features obtained in step 100 and the channelization filtering method in step 200. For example, if the first channel contains frequency peaks of 193.041THz and 192.917THz, then note f11=192.917×1012And f12=193.041×1012. At this time, the frequency conversion amount f of the sub-channel 1 can be obtained1C=(f11+f12) 2, i.e. 192.979X 1012. All Data of sub-channel 11Multiplied by exp (-j2 π f1Ct) to obtain the down-converted signal. The frequency spectrum of the down-converted signal is shown in fig. 6(a), in which the center point frequency is shifted from 192.979THz to 0, and the highest frequency component in the channel (here, the frequency point with the largest power) is reduced to 6.2 × 1010And decreased by 2 orders of magnitude. For sub-channel 2 and sub-channel 3, the above process is repeated with a frequency conversion f2CAnd f3CAre respectively 193.23X 1012And 193.415 × 1012. The frequency spectrum after frequency conversion is shown in fig. 6(b) and fig. 6(c), and the highest frequency component (here, the frequency point with the maximum power) in the channel is reduced to 6.2 × 1010And 0. In particular, for channel 3, the sampling rate can be reduced up to the order of GHz. It follows that the sampling rate of the system can be greatly reduced when there is only one spectral peak per sub-channel.
At the demodulation end, in order to recover the signal, it is necessary to decompress the above process, so this embodiment writes each information of the down-conversion into the information transfer protocol by agreeing on the rule of information interaction, and the basic format is as shown in fig. 7, and from left to right, the channel label, the frequency conversion amount, and the down-conversion data are respectively.
Before and after the above-mentioned process, the sampling rate of system simulation is 2X 1015Down to 6 x 10111ms data size is 2 × 1012Down to 6 x 108Significant information compression is achieved. Therefore, the invention can obviously improve the simulation efficiency of the broadband high-frequency multi-carrier modulation signal under the condition of ensuring the simulation precision.
Decompression of multicarrier modulation signals in contrast to the above-described procedure, the Data Down _ Data of the three channels are first extracted by the channel labels in the information transfer protocoliAnd corresponding variable frequency quantity fiC. Then, the compressed signal is up-converted, i.e. Datai=Down_Datai×exp(j2πfiCt). Finally, the Data after up-conversion processing of each sub-channeliAnd performing information fusion and finishing information decompression. Fig. 8 shows a schematic diagram of a spectrum of a decompressed multi-carrier modulation signal, the right diagram is an amplification of a channel with a frequency of 193.415THz, and it can be seen through comparison before and after compression that the multi-carrier modulation signal has better consistency, only a noise part is lost, and the effectiveness of the invention is proved.
It can be observed from the above results that the present invention successfully realizes the compression of the multi-carrier modulation signal by the method of combining the channelized filtering and the down-conversion, and solves the problems of high sampling rate, large calculation amount, etc. in the simulation process of the broadband high-frequency multi-carrier modulation signal. The scheme is suitable for signal simulation with multi-carrier modulation characteristics in the fields of microwave, optics, microwave photonics and the like, and has great significance and application value in cross-domain simulation.
The invention is not limited to the foregoing embodiments. The invention extends to any novel feature or any novel combination of features disclosed in this specification and any novel method or process steps or any novel combination of features disclosed.
Claims (7)
1. A method for efficient information compression characterization for signal simulation, the method comprising:
acquiring the characteristics of the signal;
according to the obtained characteristics, utilizing an evaluation function to carry out channelized filtering, wherein the number of the filtered sub-channels is n, the evaluation function is a criterion for guiding the channelized filtering, and the number of carriers in each sub-channel is limited to be not more than 2;
sequentially carrying out Down-conversion on the n sub-channels, wherein the Down-conversion Data of the ith sub-channel is Down _ Datai,i≤n;
Converting the frequency f of the ith sub-channeliCWriting information transmission protocol with channel label i;
compressed information is generated.
2. The method according to claim 1, wherein the signal is a single-carrier modulation signal or a multi-carrier modulation signal, and the obtained signal characteristics include a carrier wavelength and a number of carriers.
3. The method for efficient information compression characterization for signal simulation according to claim 1, wherein the method for obtaining the signal features is direct extraction or extraction using a peak-finding algorithm.
4. The method of claim 1, wherein down-converting the ith sub-channel comprises: detecting the peak signal frequency of the sub-channel to obtain the frequency conversion amount f of the sub-channeliCOf variable frequency quantity fiC=(fi1+fi1+……+fim) M, wherein fi1、fi2、……、fimThe peak frequency of each carrier in the sub-channel, and m is the number of carriers in the sub-channel; by the formula Down _ Datai=Datai×exp(-j2πfiCt) performs down-conversion of the sub-channel, wherein DataiIs the data of the ith sub-channel, and t is time.
5. The method according to claim 1, wherein the compressed information is generated in a transmission format of [1, f [ ]1C,Down_Data1,2,f2C,Down_Data2,……,n,fnC,Down_Datan]。
6. An efficient information compression characterization device for signal simulation, comprising:
the characteristic extraction device is used for acquiring the characteristics of the signal;
the channel dividing device is used for carrying out channelized filtering by utilizing an evaluation function according to the characteristics acquired by the characteristic extracting device, the number of the filtered sub-channels is n, the evaluation function is a criterion for guiding the channelized filtering, and the number of carriers in each sub-channel is limited to be not more than 2;
down-conversion device for Down-converting n sub-channels in turn, wherein the Down-conversion Data of the ith sub-channel is Down _ Datai,i≤n;
Information writing means for writing the frequency conversion f of the ith sub-channeliCWriting information transmission protocol with channel label i;
compressed information generating means for generating compressed information.
7. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method of any one of claims 1 to 5.
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Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102148679A (en) * | 2010-02-05 | 2011-08-10 | 西瑞克斯(北京)通信设备有限公司 | Low-complexity bandwidth signal digital frequency selection method |
CN103973605A (en) * | 2013-12-18 | 2014-08-06 | 中国电子科技集团公司第五十四研究所 | Multi-rate burst self-adaptive communication device suitable for microwave communication |
CN105451024A (en) * | 2015-12-31 | 2016-03-30 | 北京大学 | Digital hologram coding transmission method employing compressed sensing |
CN107846254A (en) * | 2017-10-12 | 2018-03-27 | 北京工业大学 | The photonic methodologies and system of microwave down coversion and phase shift are realized using integrated device |
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Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102148679A (en) * | 2010-02-05 | 2011-08-10 | 西瑞克斯(北京)通信设备有限公司 | Low-complexity bandwidth signal digital frequency selection method |
CN103973605A (en) * | 2013-12-18 | 2014-08-06 | 中国电子科技集团公司第五十四研究所 | Multi-rate burst self-adaptive communication device suitable for microwave communication |
CN105451024A (en) * | 2015-12-31 | 2016-03-30 | 北京大学 | Digital hologram coding transmission method employing compressed sensing |
CN107846254A (en) * | 2017-10-12 | 2018-03-27 | 北京工业大学 | The photonic methodologies and system of microwave down coversion and phase shift are realized using integrated device |
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