杭州电子科技大学学报
杭州電子科技大學學報
항주전자과기대학학보
JOURNAL OF HANGZHOU DIANZI UNIVERSITY
2014年
1期
30-33
,共4页
斜投影%压缩采样%压缩感知%匹配追踪%重构算法
斜投影%壓縮採樣%壓縮感知%匹配追蹤%重構算法
사투영%압축채양%압축감지%필배추종%중구산법
oblique projection%compressive sampling%compressed sensing%matching pursuit%construction al-gorithm
斜投影匹配追踪算法较正交匹配追踪算法针对非正交字典的重构能力有了大幅提高，但受噪声影响大。该文通过投影矩阵迭代公式导出斜投影匹配追踪算法，并引入回溯的思想，提出基于斜投影算子的压缩采样匹配追踪算法，有效降低了噪声的影响和非正交投影产生的误差，提高了重构精度。仿真结果表明，算法的重构效果优于其它同类算法。
斜投影匹配追蹤算法較正交匹配追蹤算法針對非正交字典的重構能力有瞭大幅提高，但受譟聲影響大。該文通過投影矩陣迭代公式導齣斜投影匹配追蹤算法，併引入迴溯的思想，提齣基于斜投影算子的壓縮採樣匹配追蹤算法，有效降低瞭譟聲的影響和非正交投影產生的誤差，提高瞭重構精度。倣真結果錶明，算法的重構效果優于其它同類算法。
사투영필배추종산법교정교필배추종산법침대비정교자전적중구능력유료대폭제고，단수조성영향대。해문통과투영구진질대공식도출사투영필배추종산법，병인입회소적사상，제출기우사투영산자적압축채양필배추종산법，유효강저료조성적영향화비정교투영산생적오차，제고료중구정도。방진결과표명，산법적중구효과우우기타동류산법。
Oblique projection matching pursuit algorithm ( OPMP) voids the mismatch phenomenon caused by the non-orthogonality of over-complete dictionary in the orthogonal matching pursuit algorithm ( OMP) , but it is affected by noise .Using the iteration formula of projection matrix , the OPMP is derived in this paper .By introducing the idea of backtracking , a compressive sampling matching pursuit algorithm based on oblique projection operator(OPCSMP) is proposed.OPCSMP effectively reduces the effect of noise and errors which generated by non-orthogonal projection , and improves the accuracy of the reconstruction .Experimental results show that the effect of the proposed algorithm is far superior to that of the OMP .
