Title :
Study on the algorithm of the Fractional Cosine Transform based on adaptive LMS algorithm
Author :
Yang, Yulan ; Qi, Lin
Author_Institution :
Coll. of Inf. Eng., Zhengzhou Univ., Zhengzhou
Abstract :
A novel method of the computation of the discrete fractional cosine transform (DFRCT) based on adaptive Least Mean Square (LMS) algorithm is proposed. The weight vectors are adjusted or adapted in accord with the least mean square error between the ldquodesired responserdquo and the reconstructed signal. It can be proved that the weight vector is in relation to the previous N-point DFRCT by choosing the iterative index properly. Theoretical analysis and simulation results show that the performance of the proposed algorithm is very close to that of Pei, and also it is simple in computation.
Keywords :
discrete cosine transforms; least mean squares methods; signal processing; adaptive LMS algorithm; adaptive least mean square algorithm; discrete fractional cosine transform; iterative index; least mean square error; signal processing; theoretical analysis; Algorithm design and analysis; Discrete Fourier transforms; Discrete cosine transforms; Educational institutions; Eigenvalues and eigenfunctions; Fourier transforms; Iterative algorithms; Kernel; Least squares approximation; Signal processing algorithms;
Conference_Titel :
Signal Processing, 2008. ICSP 2008. 9th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-2178-7
Electronic_ISBN :
978-1-4244-2179-4
DOI :
10.1109/ICOSP.2008.4697078
