安徽大学学报(自然科学版)
安徽大學學報(自然科學版)
안휘대학학보(자연과학판)
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2015年
5期
31-36
,共6页
周高明%陶亮%王华彬%李锐
週高明%陶亮%王華彬%李銳
주고명%도량%왕화빈%리예
实值离散Gabor变换%多窗%快速算法
實值離散Gabor變換%多窗%快速算法
실치리산Gabor변환%다창%쾌속산법
real-valued discrete Gabor transform%multi-window%fast algorithm
针对多窗实值离散Gabor变换(real‐valued discrete Gabor transform ,简称RDGT ),综合窗簇与分析窗簇之间双正交性关系的窗函数计算复杂性高的问题,提出一种快速窗函数求解算法。该方法利用快速离散Hartley变换(discrete Hartley transform ,简称DHT)及Hartley函数的正交性简化了窗函数的双正交条件关系式,从而降低窗函数计算复杂度。实验结果表明了该快速算法的高效性。
針對多窗實值離散Gabor變換(real‐valued discrete Gabor transform ,簡稱RDGT ),綜閤窗簇與分析窗簇之間雙正交性關繫的窗函數計算複雜性高的問題,提齣一種快速窗函數求解算法。該方法利用快速離散Hartley變換(discrete Hartley transform ,簡稱DHT)及Hartley函數的正交性簡化瞭窗函數的雙正交條件關繫式,從而降低窗函數計算複雜度。實驗結果錶明瞭該快速算法的高效性。
침대다창실치리산Gabor변환(real‐valued discrete Gabor transform ,간칭RDGT ),종합창족여분석창족지간쌍정교성관계적창함수계산복잡성고적문제,제출일충쾌속창함수구해산법。해방법이용쾌속리산Hartley변환(discrete Hartley transform ,간칭DHT)급Hartley함수적정교성간화료창함수적쌍정교조건관계식,종이강저창함수계산복잡도。실험결과표명료해쾌속산법적고효성。
To reduce the high complexity of the window computation using the biorthogonal relationship between the synthesis windows and the analysis windows in the multi‐window real‐valued discrete Gabor transform (M‐RDGT ) ,this paper presented a fast algorithm .It made the bi‐orthogonal condition of computing basic window functions simpler by using fast discrete Hartley transform (DHT)and the orthogonality of the Hartley functions so that the computational complexity could be reduced .The experimental results of the algorithm also indicated that the proposed fast algorithm w as more effective .