Compressed sensing reconstructing method of sparse signal with unknown block sparsity
What is Al technical title?
Al technical title is built by PatSnap Al team. It summarizes the technical point description of the patent document.
A technology for compressive sensing reconstruction and sparse signal, applied in the field of compressive sensing, which can solve the problem of inability to reconstruct
Inactive Publication Date: 2010-12-08
HARBIN INST OF TECH
View PDF3 Cites 75 Cited by
Summary
Abstract
Description
Claims
Application Information
AI Technical Summary
This helps you quickly interpret patents by identifying the three key elements:
Problems solved by technology
Method used
Benefits of technology
Problems solved by technology
[0005] In order to solve the over-matching phenomenon in the existing block sparse signal matching tracking reconstruction method, and the unknown block sparsity K The
Method used
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more
Image
Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
Click on the blue label to locate the original text in one second.
Reading with bidirectional positioning of images and text.
Smart Image
Examples
Experimental program
Comparison scheme
Effect test
specific Embodiment approach 1
[0032] Specific implementation mode one, to combine figure 1Describe this embodiment, a sparse signal compression sensing reconstruction method with unknown block sparsity, the specific process is as follows:
[0033] Acquire the source signal x The observed signal is y , the observed signal y Expressed as y T =[ y 1 , y 2 , y 3 ..., y m ],in m for the observed signal y length,
[0034] Step 1. Sparse signal compression sensing reconstruction process initialization: set the initialization block sparsity k , , K source signal x The block sparsity of , initialize the measurement matrix , set the iteration error err, block vector Group , a block vector Group Expressed as follows:
[0035]
[0036] in, d is a block vector Group The length of the sub-block, set the initial value of the residual r 0 = y , restore the matrix , the step size step =1, signal support set size S = k , the source signal x The reconstruction vector of ;
[0...
specific Embodiment approach 2
[0067] Specific implementation mode two, This implementation mode is a further description of the specific implementation mode 1. In step 1, the block sparsity is initialized k= 1. Iteration error err=10 -5 , the measurement matrix follow a Gaussian distribution.
specific Embodiment approach 3
[0068] Specific implementation mode three, This embodiment is a further description of the second specific embodiment, the measurement matrix ,in , is the measurement matrix The normalized column vector of , , is the column vector of the original measurement matrix, Represents the 2-norm.
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more
PUM
Login to view more
Abstract
The invention relates to a compressed sensing reconstructing method of a sparse signal with the unknown block sparsity, belonging to the technical field of compressed sensing, in particular to a reconstruction method of a block sparse signal. The method comprises the steps of finding out one subset of a signal support set by initializing block sparsity k and iterating each block sparse signal, increasing the block sparsity while keeping iteration and finally finding out the support set of the whole source signal x so as to achieve the purpose of reconstructing the source signal x. The invention has high reconstruction precision by iterating and modifying the support set many times, and has high probability for reconstructing block sparse signals without the overmatching phenomenon compared with the traditional block sparsity matching and tracking and orthogonal matching and tracking method. The invention does not need the block sparsity as the priori knowledge and is particularly suitable for the reconstruction field of signals with unknown block sparsity.
Description
technical field [0001] The invention relates to the technical field of compressed sensing, in particular to a reconstruction method for block sparse signals. Background technique [0002] The traditional signal sampling theory is based on the Nyquist sampling theorem, that is, in order to ensure that the information of the source signal is not lost and to restore the source signal without distortion, the sampling rate needs to be at least twice the signal bandwidth. This often requires a high sampling rate for the digitization of broadband analog signals, which increases the burden on physical devices. And for signals with a large amount of data, the storage capacity and processing speed are further limited. [0003] Compressed Sensing (CS) is a brand-new signal sampling theory proposed in 2004. Its idea is to observe the signal globally at a speed much lower than the Nyquist sampling rate for sparse signals, and then pass appropriate re- The construction algorithm reconst...
Claims
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more
Application Information
Patent Timeline
Application Date:The date an application was filed.
Publication Date:The date a patent or application was officially published.
First Publication Date:The earliest publication date of a patent with the same application number.
Issue Date:Publication date of the patent grant document.
PCT Entry Date:The Entry date of PCT National Phase.
Estimated Expiry Date:The statutory expiry date of a patent right according to the Patent Law, and it is the longest term of protection that the patent right can achieve without the termination of the patent right due to other reasons(Term extension factor has been taken into account ).
Invalid Date:Actual expiry date is based on effective date or publication date of legal transaction data of invalid patent.
Login to view more 
Login to view more