Ground moving target micro-tremor signal characteristic extraction based on sparse decomposition
A sparse decomposition and signal feature technology, which is applied in the field of feature extraction of micro-Doppler signals, can solve the problems of insufficient feature extraction of micro-Doppler signals and unsatisfactory actual recognition effect, so as to reduce the number of searches, improve efficiency, background Effects with little effect of noise
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specific Embodiment approach 1
[0027] Specific implementation mode 1: Combination figure 1 To describe this embodiment, this embodiment includes the following specific steps:
[0028] Step 1: Establish an over-complete signal atomic library corresponding to the target signal. The corresponding atom library is established according to the specific signal, and the atoms are normalized to obtain the corresponding atom library of the signal.
[0029] Step 2: Combine the optimized genetic algorithm with sparse decomposition, search for a series of best matching sparse atoms in the genetic space mapped from the atom search space, and decompose the signal until the decomposition stop condition is met. According to the theory of signal decomposition, the original signal after decomposition can be expressed in the form of formula (1)
[0030] (1)
[0031] In formula (2) Is the residual value after decomposition when the signal is decomposed to the mth time. From a theoretical analysis, when m approaches infinity, the r...
specific Embodiment approach 2
[0033] Specific embodiment two: this mode is a specific description of step one in the first embodiment. The over-complete signal atom library in this method is to establish the corresponding atom library according to the signal characteristics, and the atom library is constructed by the method of formula (2).
[0034] (2)
[0035] Where It is a Gaussian window function, γ=(s,u,v,w) is a time-frequency parameter, s, u, v, w represent the scale, displacement, frequency, and phase of the atom, respectively.
[0036] Among them, the prior value is extracted by sampling and estimation of the target signal, and the amplitude fluctuation range of the target signal [a min ,a max ] As the variation range of the atomic scale s, the position of the target signal is moved by the interval [d min ,d max ] As the variation range of the atomic displacement u, and discretize the variation amplitude. Through this improvement, the search space range of the atom library is related to the sp...
specific Embodiment approach 3
[0037] Specific implementation mode 3: This mode is a specific description of combining the optimized genetic algorithm and sparse decomposition in specific implementation mode 1 to decompose the signal.
[0038] Step 1: Map the solution space of the sparse decomposition to the genetic space, create the initial population Initial_Group, that is, define a parameter group to be optimized, so as to convert the search for the most matching atom in the dictionary into the search for the most suitable atom in the population, and Find the initial most suitable individual g in the first generation population.
[0039] Step 2: Use mutation probability p for optimal individual g m Change the value of the feature in the vector group to achieve the purpose of generating (N-1) / 4 new individuals.
[0040] Step 3: For all individuals except the best adapted individual g, select 2 individuals each time to compare their fitness and keep the individuals with high fitness; repeat the selection process ...
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