CN108632256A - A kind of Signal Compression, reconstructing method and device and compression perceptual system - Google Patents
A kind of Signal Compression, reconstructing method and device and compression perceptual system Download PDFInfo
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- CN108632256A CN108632256A CN201810316227.5A CN201810316227A CN108632256A CN 108632256 A CN108632256 A CN 108632256A CN 201810316227 A CN201810316227 A CN 201810316227A CN 108632256 A CN108632256 A CN 108632256A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L63/00—Network architectures or network communication protocols for network security
- H04L63/04—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks
- H04L63/0428—Network architectures or network communication protocols for network security for providing a confidential data exchange among entities communicating through data packet networks wherein the data content is protected, e.g. by encrypting or encapsulating the payload
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- G06T1/00—General purpose image data processing
- G06T1/0021—Image watermarking
Abstract
The present invention discloses a kind of Signal Compression, reconstructing method and device and compression perceptual system, is related to technical field of information processing, the compression method includes:Obtain the signal data of matrix form;The row of the signal data and/or putting in order for row are converted by preset encryption rule, to obtain scrambled matrix;It is multiplied with the scrambled matrix using preset observing matrix, to obtain the compression encryption data of the signal data;By the compression encrypted data transmission to receiving terminal.Method provided by the invention increases the safety of compression sensing method in the case where not increasing the complexity of signal acquisition terminal.
Description
Technical field
The present invention relates to a kind of technical field of information processing more particularly to Signal Compression, reconstructing method and device and compressions
Sensory perceptual system.
Background technology
Compressed sensing, also known as compression sampling.In the development of compressed sensing, compressed sensing is wide because of down-sampled characteristic
It is general to be applied in every field, such as radar detection, geological prospecting, imaging of medical, signal denoising, image super-resolution rebuilding.
For example, the image of the visual security and data safety based on compressed sensing of the patent disclosure of Publication No. CN106600518A adds
Close, decryption method, the encryption method include:256 cryptographic Hash of plaintext image are obtained first with SHA256 hash functions
As image secret key, and calculate the initial value of one-dimensional skew tent chaotic maps and zigzag scrambles;Plaintext image is carried out
It is sparse, zigzag scrambles are carried out to coefficient matrix;Then calculation matrix is generated using one-dimensional skewtent chaotic maps, to scramble
Matrix measures and quantifies, and obtains compressing encrypted image, is embedded into the significant carrier image of vision, obtains final
The significant ciphertext image of vision.Compressed sensing is applied in image transmitting and field of storage in the patent document.
There are some changeless parameters in compressed sensing technology, such as observing matrix and sparse matrix, exactly these are fixed
Data without variation make the computation complexity of the collection terminal of compressed sensing very low.
In the prior art, in the theory of compressed sensing, if signal is originally sparse, observing matrix is
Perceive matrix.But in actual life, the interested signal of people is non-sparse mostly, then just needing a sparse square
Battle array by signal sparse expression, and observing matrix at this moment just need it is greatly linear uncorrelated with sparse matrix, then observing
The perception matrix that Matrix Multiplication is obtained with sparse matrix just needs to meet R.I.P. properties.Random matrix is as observing matrix
Meet this requirement, such as Gaussian matrix, Bernoulli Jacob's matrix etc..Therefore observing matrix has randomness, it is easier to be attacked.
Invention content
Technical problem to be solved by the present invention lies in the prior art, the observing matrix of compression sensing method has
Randomness, it is easier to be attacked, safety is not high.
The present invention solves its technical problem, proposes a kind of Signal Compression, reconstructing method and device and compression perceptual system.
The compression method includes:
Obtain the signal data of matrix form;
The row of the signal data and/or putting in order for row are converted by preset encryption rule, to be added
Close matrix;
It is multiplied with the scrambled matrix using preset observing matrix, number is encrypted in the compression to obtain the signal data
According to;
By the compression encrypted data transmission to receiving terminal.
Optionally, described to become the row of the signal data and/or putting in order for row by preset encryption rule
It changes, specially:
Generate row key, the row key for encrypting the signal data;Wherein, the row key is that number 1 arrives the one of n
It is secondary randomly ordered, it is denoted as, [K1, K2, K3... ..., Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,
K2, K3... ..., Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
Optionally, the signal data for obtaining matrix form includes:
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
The signal reconfiguring method includes:
The compression encryption data for receiving original signal, is denoted as y;
According to the encryption rule of the compression encryption data to the sequence that arranges in compression encryption data y and observing matrix Φ into
Row transformation, to use following formula after transformation:Y=Φ × Ψ × θ can solve the sparse of the original signal matrix X
Express θ;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, and θ is original signal matrix X's
Sparse expression;
According to formula:X=Ψ × θ solve original signal matrix X, wherein and Ψ is the sparse matrix of original signal matrix X,
θ is the sparse expression of original signal matrix X.
Correspondingly, the present invention also provides a kind of Signal Compression device and a kind of signal reconstruction devices.
The Signal Compression device includes:
Acquisition module, the signal data for obtaining matrix form;
Encrypting module, for carrying out the row of the signal data and/or putting in order for row by preset encryption rule
Transformation, to obtain scrambled matrix;
Compression module, for being multiplied with the scrambled matrix using preset observing matrix, to obtain the signal data
Compression encryption data;
Transmission module is used for the compression encrypted data transmission to receiving terminal.
Optionally, the encrypting module, is additionally operable to
Generate row key, the row key for encrypting the signal data;Wherein, the row key is that number 1 arrives the one of n
It is secondary randomly ordered, it is denoted as, [K1, K2, K3... ..., Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,
K2, K3... ..., Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
Optionally, the acquisition module is additionally operable to,
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
The signal reconstruction device includes:
Receiving module, the compression encryption data for receiving original signal, is denoted as y;
Deciphering module is used for the encryption rule according to the compression encryption data to compression encryption data y and observing matrix
The sequence arranged in Φ is converted, to use following formula after transformation:Y=Φ × Ψ × θ can solve described original
The sparse expression θ of signal matrix X;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, and θ is
The sparse expression of original signal matrix X;
Module is solved, for according to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is original signal square
The sparse matrix of battle array X, θ are the sparse expression of original signal matrix X.
Further, the present invention also provides a kind of compression perceptual systems, including:
Transmitting terminal, including Signal Compression device above-mentioned;Receiving terminal, including signal reconstruction device above-mentioned.
The present invention carries out scrambling encryption by the transmitting terminal in compressed sensing to matrix signal data, and receiving terminal, which receives, to be passed through
Data after ciphered compressed, and be decrypted, decompression obtains original signal data.Method provided by the invention is not increasing letter
In the case of the complexity of number collection terminal, the safety of compression sensing method is increased.
Description of the drawings
Fig. 1 is a kind of flow chart for compression method that the embodiment of the present invention one provides;
Fig. 2 is a kind of flow chart of signal reconfiguring method provided by Embodiment 2 of the present invention;
Fig. 3 is a kind of structure diagram for Signal Compression device that the embodiment of the present invention three provides;
Fig. 4 is a kind of structure diagram for signal reconstruction device that the embodiment of the present invention four provides;
Fig. 5 is a kind of structure diagram for compression perceptual system that the embodiment of the present invention five provides.
Specific implementation mode
Following is a specific embodiment of the present invention in conjunction with the accompanying drawings, technical scheme of the present invention will be further described,
However, the present invention is not limited to these examples.
It is also understood that specific embodiment described herein is used only for understanding the present invention, it is not used to limit this hair
It is bright.
Compression method provided by the invention is applied to the signal sending end of compressed sensing, and signal reconfiguring method is applied to
The signal receiving end of compressed sensing.
The present invention relates to the transmitting terminals of compression perceptual system, including signal, for being sampled to signal, and are added
Close, compression, and treated that compression encryption data is sent to the receiving terminal of signal;The receiving terminal of signal, for receiving transmitting terminal
The compression encryption data of transmission is decrypted using corresponding method, is decompressed and then obtains original signal acquisition data.
It should be noted that the process of compression and decompression is the general method of compressed sensing in the prior art.It is all to relate to
And observing matrix, the sparse matrix of original signal matrix, the sparse expression of original signal matrix be to compress in the prior art
The definition of perception, which is not described herein again.
The observing matrix can be Gaussian matrix or Bernoulli Jacob's matrix.
It should be noted that in compressed sensing, the product of the observing matrix and sparse matrix is perception matrix, described
Perception matrix needs to meet RIP properties (limited equidistant property).
The present invention relates to signal data is encrypted.The transmitting terminal of signal is by the row of the signal data and/or row
Put in order and converted by preset encryption rule, receiving terminal can be to the compression encryption data that receives according to encryption method
It is decrypted, to obtain original signal data, i.e. original signal matrix.
Embodiment one
Fig. 1 is a kind of flow chart of compression method provided in this embodiment, and the compression method is applied to letter
Number transmitting terminal, in conjunction with attached drawing, details are as follows:
Step S101 obtains the signal data of matrix form.
Optionally, signal is sampled with preset sample frequency.In compression sensing method, sample frequency does not need
Nyquist sampling theorem is followed, original signal can be recovered by suitable restructing algorithm in receiving terminal.
Specifically, the signal can be digital signal or analog signal.
It is described obtain matrix form signal data include:
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
When the signal for needing to acquire is one-dimensional signal, gathered data is superimposed as matrix form.
Optionally, by collected several rows of one-dimensional signal Data duplication, to generate signal data matrix, i.e. original signal
Matrix.Specifically processing method, the present invention are not restricted.
When signal is 2D signal, such as picture, then it can directly generate the data of matrix form.
Step S102 is converted the row of the signal data and/or putting in order for row by preset encryption rule,
To obtain scrambled matrix.
Since signal data is matrix form, it is denoted as original signal matrix.
The sequence of the row, column of original signal matrix is converted, for example, by the first row of the original signal matrix with
Second row swaps, then first row and third row are swapped.The present invention does not put in order ground to particular row and/or row
Transform method limits.
Optionally, described to become the row of the signal data and/or putting in order for row by preset encryption rule
It changes, specially:
Generate row key, the row key for encrypting the signal data;Wherein, the row key is that number 1 arrives the one of n
It is secondary randomly ordered, it is denoted as, [K1, K2, K3... ..., Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,
K2, K3... ..., Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
Further, row key can be that number 1 arrives the primary randomly ordered of n, by original signal matrix, i.e. signal number
According to being converted in the order.Such as the first digit in row key is 3, by the data of the third line in original signal matrix
It adjusting to the first row, second digit is 5 in row key, by the data point reuse of fifth line in original signal matrix to the second row,
The often capable data of original signal matrix are adjusted correspondingly successively.
Correspondingly, further original signal matrix is converted using row key.
It since there are many transform method of ranks, no longer illustrates one by one here, but the method that the present invention does not limit transformation.
Step S103 is multiplied using preset observing matrix with the scrambled matrix, to obtain the pressure of the signal data
Contracting encryption data.
The observing matrix is denoted as Φ;The scrambled matrix of original signal matrix X is denoted as X '.
The result that observing matrix Φ is multiplied with the scrambled matrix X ' is y, i.e. y=Φ × X ', y are the signal data
Compress encryption data.
Step S104, by the compression encrypted data transmission to receiving terminal.
Be the transmitting terminal of compressed sensing involved in the present embodiment, the transmitting terminal by the compression encrypted data transmission extremely
Receiving terminal.
The present invention carries out scrambling encryption by the transmitting terminal in compressed sensing to matrix signal data, and receiving terminal, which receives, to be passed through
Data after ciphered compressed, and be decrypted, decompression obtains original signal signal data.Method provided by the invention is not increasing
In the case of the complexity of plus signal collection terminal, the safety of compression sensing method is increased.
Embodiment two
Fig. 2 is a kind of flow chart of signal reconfiguring method provided in this embodiment, and the signal reconfiguring method is applied to letter
Number receiving terminal, in conjunction with attached drawing, details are as follows:
Step S201 receives the compression encryption data of original signal.
Receiving terminal receives the compression encryption data of the original signal after Signal Compression.The compression encryption data is being sent out
Sending end generates, and is sent to receiving terminal by transmitting terminal.The compression encryption data is denoted as y.
Step S202 solves the sparse table of the original signal matrix according to the encryption rule of the compression encryption data
It reaches.
Specifically, according to the encryption rule of the compression encryption data to being arranged in compression encryption data y and observing matrix Φ
Sequence converted, so as to after transformation use following formula:Y=Φ × Ψ × θ can solve the original signal square
The sparse expression θ of battle array X;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, and θ is original letter
The sparse expression of number matrix X;
In transmitting terminal, the row of the signal data and/or putting in order for row are converted by preset encryption rule,
To obtain scrambled matrix.Wherein, the signal data is original signal matrix X.It can be according to encryption rule to compressing encryption data
It is converted accordingly, with ciphertext data.
Specifically, the row or column of the compression encryption data y, observing matrix Φ are become accordingly according to encryption rule
It changes, and calculates the sparse expression θ of original signal before encryption using above-mentioned formula after the conversion.
It should be noted that needing to carry out corresponding decryption oprerations before receiving terminal decompression:It is encrypted for the row of original signal,
It needs to do opposite rank transformation to the compression result y received when decryption;For the row encryption of original signal, need when decryption pair
Observing matrix does identical rank transformation.In other words, in receiving terminal, y=Φ × Ψ × θ need, according to row key, to encrypt compression
Data y does opposite rank transformation, and according to row key, identical rank transformation is done to observing matrix Φ.It uses after transformation as follows
Formula:Y=Φ × Ψ × θ can solve the sparse expression θ of the original signal matrix X.
Step S203 solves original signal matrix.
Because the line number of observing matrix Φ is far smaller than columns, the mismatch in line number and columns, therefore can not directly make
Original signal matrix X is obtained with the inverse compression encryption data y that is multiplied by of observing matrix.Therefore, it is necessary to use original signal matrix X's
Sparse expression θ.
Specifically, according to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is the dilute of original signal matrix X
Matrix is dredged, θ is the sparse expression of original signal matrix X.
The signal reconfiguring method being related in the present embodiment corresponds to the compression method in embodiment one, applied to connecing
Receiving end receives the compression encryption data that transmitting terminal is sent in embodiment one and is decrypted, decompresses and obtain original signal matrix,
I.e. original signal data.Signal reconfiguring method provided in this embodiment is corresponding with the compression method in embodiment one,
In the case where not increasing the complexity of signal acquisition terminal, the safety of compression sensing method is increased.
Embodiment three
Fig. 3 is a kind of structure diagram of Signal Compression device provided in this embodiment, and in conjunction with attached drawing, details are as follows:
The Signal Compression device includes:
Acquisition module 31, the signal data for obtaining matrix form;
Encrypting module 32, for by the row of the signal data and/or row put in order by preset encryption rule into
Row transformation, to obtain scrambled matrix;
Compression module 33, for being multiplied with the scrambled matrix using preset observing matrix, to obtain the signal number
According to compression encryption data;
Transmission module 34 is used for the compression encrypted data transmission to receiving terminal.
Optionally, the encrypting module 32, is additionally operable to
Generate row key, the row key for encrypting the signal data;Wherein, the row key is that number 1 arrives the one of n
It is secondary randomly ordered, it is denoted as, [K1, K2, K3... ..., Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,
K2, K3... ..., Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
Optionally, the acquisition module 31 is additionally operable to,
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
Signal Compression device provided in this embodiment is applied to embodiment of the method one, and detailed content description is referring to embodiment
One, which is not described herein again.
Example IV
Fig. 4 is a kind of structure diagram of signal reconstruction device provided in this embodiment, and in conjunction with attached drawing, details are as follows:
The signal reconstruction device includes:
Receiving module 41, the compression encryption data for receiving original signal, is denoted as y;
Deciphering module 42, for compression encryption data y and observing square according to the encryption rule of the compression encryption data
The sequence arranged in battle array Φ is converted, to use following formula after transformation:Y=Φ × Ψ × θ can solve the original
The sparse expression θ of beginning signal matrix X;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, θ
For the sparse expression of original signal matrix X;
Module 43 is solved, for according to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is original signal
The sparse matrix of matrix X, θ are the sparse expression of original signal matrix X.
Signal reconstruction device provided in this embodiment is applied to embodiment of the method two above-mentioned, and the content of detailed description is referring to method
Embodiment two, which is not described herein again.
Embodiment five
Fig. 5 is a kind of compression perceptual system provided in this embodiment, and in conjunction with attached drawing, details are as follows:
Compression perceptual system includes:Transmitting terminal 51, receiving terminal 52.
Transmitting terminal 51, including Signal Compression device above-mentioned;Receiving terminal 52, including signal reconstruction device above-mentioned.
Wherein, pressure Signal Compression device includes:
Acquisition module 31, the signal data for obtaining matrix form;
Encrypting module 32, for by the row of the signal data and/or row put in order by preset encryption rule into
Row transformation, to obtain scrambled matrix;
Compression module 33, for being multiplied with the scrambled matrix using preset observing matrix, to obtain the signal number
According to compression encryption data;
Transmission module 34 is used for the compression encrypted data transmission to receiving terminal.
Optionally, the encrypting module 32, is additionally operable to
Generate row key, the row key for encrypting the signal data;Wherein, the row key is that number 1 arrives the one of n
It is secondary randomly ordered, it is denoted as, [K1, K2, K3... ..., Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,
K2, K3... ..., Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
Optionally, the acquisition module 31 is additionally operable to,
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
Wherein, signal reconstruction device includes:
Receiving module 41, the compression encryption data for receiving original signal, is denoted as y;
Deciphering module 42, for compression encryption data y and observing square according to the encryption rule of the compression encryption data
The sequence arranged in battle array Φ is converted, to use following formula after transformation:Y=Φ × Ψ × θ can solve the original
The sparse expression θ of beginning signal matrix X;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, θ
For the sparse expression of original signal matrix X;
Module 43 is solved, for according to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is original signal
The sparse matrix of matrix X, θ are the sparse expression of original signal matrix X.
It should be appreciated that there is no the stringent sequences that executes for the step in the present invention, it is all it is contemplated that and not influencing function
The variation of realization all should be within the scope of the present invention.
In embodiment provided herein, it should be appreciated that described method and system is all schematical, in reality
By adjusting can difference in the implementation process of border.
In addition, the specific name of each functional unit or module is also only to facilitate mutually differentiation, is not used to the present invention
Protection domain.
Specific embodiment described herein is only an example for the spirit of the invention.Technology belonging to the present invention is led
The technical staff in domain can make various modifications or additions to the described embodiments or replace by a similar method
In generation, however, it does not deviate from the spirit of the invention or beyond the scope of the appended claims.
Claims (9)
1. a kind of compression method, which is characterized in that including:
Obtain the signal data of matrix form;
The row of the signal data and/or putting in order for row are converted by preset encryption rule, to obtain encryption square
Battle array;
It is multiplied with the scrambled matrix using preset observing matrix, to obtain the compression encryption data of the signal data;
By the compression encrypted data transmission to receiving terminal.
2. compression method according to claim 1, which is characterized in that it is described by the row of the signal data and/or
Putting in order for row is converted by preset encryption rule, specially:
Generate row key, the row key for encrypting the signal data;Wherein, the row key be number 1 to n it is primary with
Machine sorts, and is denoted as, [K1,K2,K3,……,Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,K2,
K3,……,Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
3. compression method according to claim 1, which is characterized in that the signal data packet for obtaining matrix form
It includes:
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
4. a kind of signal reconfiguring method, which is characterized in that including:
The compression encryption data for receiving original signal, is denoted as y;
The sequence arranged in compression encryption data y and observing matrix Φ is become according to the encryption rule of the compression encryption data
It changes, to use following formula after transformation:Y=Φ × Ψ × θ can solve the sparse expression of the original signal matrix X
θ;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, and θ is the sparse of original signal matrix X
Expression;
According to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is the sparse matrix of original signal matrix X, and θ is
The sparse expression of original signal matrix X.
5. a kind of Signal Compression device, which is characterized in that including:
Acquisition module, the signal data for obtaining matrix form;
Encrypting module, for the row of the signal data and/or putting in order for row to be converted by preset encryption rule,
To obtain scrambled matrix;
Compression module, for being multiplied with the scrambled matrix using preset observing matrix, to obtain the pressure of the signal data
Contracting encryption data;
Transmission module is used for the compression encrypted data transmission to receiving terminal.
6. Signal Compression device according to claim 5, which is characterized in that the encrypting module is additionally operable to
Generate row key, the row key for encrypting the signal data;Wherein, the row key be number 1 to n it is primary with
Machine sorts, and is denoted as, [K1,K2,K3,……,Kn];The row key is that number 1 arrives the primary randomly ordered of s, is denoted as, [K1,K2,
K3,……,Ks];N, s are respectively the line number and columns of the signal data;
It is converted using the row of signal data and/or putting in order for row described in the row key and row key pair.
7. Signal Compression device according to claim 5, which is characterized in that the acquisition module is additionally operable to,
When signal is one-dimensional signal, the one-dimensional signal is superimposed as matrix form.
8. a kind of signal reconstruction device, which is characterized in that including:
Receiving module, the compression encryption data for receiving original signal, is denoted as y;
Deciphering module is used for the encryption rule according to the compression encryption data in compression encryption data y and observing matrix Φ
The sequence of row is converted, to use following formula after transformation:Y=Φ × Ψ × θ can solve the original signal
The sparse expression θ of matrix X;Wherein, Φ is preset observing matrix, and Ψ is the sparse matrix of original signal matrix X, and θ is original
The sparse expression of signal matrix X;
Module is solved, for according to formula:X=Ψ × θ solve original signal matrix X, wherein Ψ is original signal matrix X's
Sparse matrix, θ are the sparse expression of original signal matrix X.
9. a kind of compression perceptual system, which is characterized in that including:
Transmitting terminal, including claim 5 to 7 any one of them Signal Compression device;
Receiving terminal, including signal reconstruction device according to any one of claims 8.
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