Title :
Recursive architectures for the forward and inverse modified discrete cosine transforms
Author :
Chen, Che-Hong ; Wu, Chung-Bin ; Liu, Birr-Da ; Yang, Jar-Ferr
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Abstract :
This paper presents recursive architectures for the modified discrete cosine transform (MDCT) and its inverse transform (IMDCT) which are the most complex operations in layer 3 of the MPEG audio coding standard. By rearranging the input data, we first derive two trigonometric equations, which can be represented as the Chebyshev polynomials. Then we demonstrate that the general length of MDCT and IMDCT can be efficiently implemented by the recursive structure. The computational complexity of each data throughput in these two architectures is less than existing related systems by as many as 50%. The proposed regular structure is particularly suitable for parallel VLSI realization
Keywords :
VLSI; audio coding; computational complexity; digital signal processing chips; discrete cosine transforms; inverse problems; parallel architectures; transform coding; Chebyshev polynomials; IIR filter structure; IMDCT; MDCT; MPEG audio coding standard; computational complexity; data throughput; forward modified discrete cosine transforms; input data; inverse modified discrete cosine transforms; layer 3; parallel VLSI realization; recursive architectures; regular structure; trigonometric equations; Audio coding; Chebyshev approximation; Computational complexity; Computer architecture; Discrete cosine transforms; Discrete transforms; Equations; Polynomials; Throughput; Very large scale integration;
Conference_Titel :
Signal Processing Systems, 2000. SiPS 2000. 2000 IEEE Workshop on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-6488-0
DOI :
10.1109/SIPS.2000.886703
