HB. HF is an F×F matrix, and HB is a B×B matrix. denotes the Kronecker product. The row r[m(i)] of HN is generated and loaded into the array. For each k in the range {1, 2, . . . , F−1}, a row r[m(i)+kB] from HN is partially loaded into the array by: loading a first subset of elements of row r[m(i)+kB] that are not currently present in the array, and not loading a second subset of elements of row r[m(i)+kB] that are currently present in the array."/>
Sensing Signals with Affine-Harmonically Related Rows of Kronecker-Product Matrices
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Sensing Signals with Affine-Harmonically Related Rows of Kronecker-Product Matrices
Sensing Signals with Affine-Harmonically Related Rows of Kronecker-Product Matrices
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机译:Kronecker-乘积矩阵与仿射-谐波相关行的传感信号
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摘要
A mechanism for efficiently loading rows of an N×N transform matrix HN into a signal-modulating array. A row index m(i) that identifies a row r[m(i)] of HN is generated, where i is in the range {0, 1, . . . , L−1}; L is less than or equal to B; and m(i) is in the range {0, 1, . . . , B−1}. HN has the form HN=HFHB. HF is an F×F matrix, and HB is a B×B matrix. denotes the Kronecker product. The row r[m(i)] of HN is generated and loaded into the array. For each k in the range {1, 2, . . . , F−1}, a row r[m(i)+kB] from HN is partially loaded into the array by: loading a first subset of elements of row r[m(i)+kB] that are not currently present in the array, and not loading a second subset of elements of row r[m(i)+kB] that are currently present in the array.
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机译:一种将N×N变换矩阵H N Sub>的行有效加载到信号调制数组中的机制。生成标识H N Sub>的行r [m(i)]的行索引m(i),其中i在{0,1,,范围内。 。 。 ,L-1}; L小于或等于B;并且m(i)在{0,1,,范围内。 。 。 ,B-1}。 H N Sub>的形式为H N Sub> = H F Sub> H B Sub>。 H F Sub>是一个F×F矩阵,H B Sub>是一个B×B矩阵。 表示Kronecker产品。 H N Sub>的行r [m(i)]生成并加载到数组中。对于范围{1、2,..., 。 。 ,F-1},来自H N Sub>的行r [m(i)+ kB]通过以下方式部分加载到数组中:加载行r [m(i)+的元素的第一子集数组中当前不存在的元素,并且不加载数组中当前存在的行r [m(i)+ kB]的元素的第二个子集。
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