Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Block-Sparsity-Induced Adaptive Filter for Multi-Clustering System
  Identification   In order to improve the performance of least mean square (LMS)-based adaptive
filtering for identifying block-sparse systems, a new adaptive algorithm called
block-sparse LMS (BS-LMS) is proposed in this paper. The basis of the proposed
algorithm is to insert a penalty of block-sparsity, which is a mixed \$l_{2,
0}\$ norm of adaptive tap-weights with equal group partition sizes, into the
cost function of traditional LMS algorithm. To describe a block-sparse system
response, we first propose a Markov-Gaussian model, which can generate a kind
of system responses of arbitrary average sparsity and arbitrary average block
length using given parameters. Then we present theoretical expressions of the
steady-state misadjustment and transient convergence behavior of BS-LMS with an
appropriate group partition size for white Gaussian input data. Based on the
above results, we theoretically demonstrate that BS-LMS has much better
convergence behavior than \$l_0\$-LMS with the same small level of
misadjustment. Finally, numerical experiments verify that all of the
theoretical analysis agrees well with simulation results in a large range of
parameters.

7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ