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The channel basis matrices are defined as (9) and (10).
The next step is to construct basis matrices for projectors and projector products.
Let B be one of the optimal basis matrices of ( LP α ).
where W is the transformation matrix of IPRM from Equation (16); Dand Pare the DCT and polynomial basis matrices, respectively.
The DOA estimation is achieved by jointly finding the sparsest coefficients of the MMS under the basis matrices.
Hence, the size of measurement and sparsifying basis matrices are reduced and the reconstruction algorithm can be implemented in parallel.
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The matrix K here refers to the "Basis" matrix in the three methods.
The overcomplete basis matrix A ∈ ℂM×Kis a random matrix with i.i.d.i.d
Duarte-Carvajalino [30] optimized the measurement matrix and basis matrix jointly by a KSVD-based algorithm.
This is implemented by concatenating an extended matrix to each basis matrix.
All three reconstruction methods used in our study require basis matrix inversion.
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