DocumentCode :
781400
Title :
A novel CORDIC-based array architecture for the multidimensional discrete Hartley transform
Author :
Guo, Jiun-In ; Liu, Chi-Min ; Jen, Chein-Wei
Author_Institution :
Comput. & Commun. Res. Labs., Ind. Technol. Res. Inst., Hsinchu, Taiwan
Volume :
42
Issue :
5
fYear :
1995
fDate :
5/1/1995 12:00:00 AM
Firstpage :
349
Lastpage :
355
Abstract :
In this paper, a coordinate rotation digital computer (CORDIC)-based array architecture is presented for computing the multidimensional (M-D) discrete Hartley transform (DHT). Since the kernel of the M-D DHT is inseparable, the M-D DHT problems cannot be computed through the 1-D DHT´s directly. Bracewell et al. have presented an algorithm for the M-D DHT through the 1-D DHT´s. The existing hardware architectures have been designed using this algorithm. However, the postprocessing required in the algorithm leads to high hardware overhead. This paper presents a new algorithm to compute M-D DHT through a special 1-D transform which is derived through considering both the separable computation and the efficient implementation with CORDIC architectures. This algorithm provides a direct way to compute the M-D DHT separably through 1-D transforms with simpler postprocessing than that in Bracewell´s approach. Also, the algorithm exploits the symmetry of the triangular functions to reduce the computational complexity. Using this algorithm, we design an array architecture for the M-D DHT. This architecture features a systolic computing style, PE´s with a CORDIC structure, low I/O cost, and the encapsulated new M-D DHT algorithm
Keywords :
Hartley transforms; VLSI; computational complexity; digital arithmetic; digital signal processing chips; parallel algorithms; signal processing; systolic arrays; 1D transform; CORDIC-based array architecture; DSP chip; VLSI implementation; computational complexity; coordinate rotation digital computer; multidimensional DHT; multidimensional discrete Hartley transform; postprocessing; systolic computing style; triangular functions; Algorithm design and analysis; Computational complexity; Computer architecture; DH-HEMTs; Discrete Fourier transforms; Discrete transforms; Hardware; Kernel; Multidimensional systems; Signal processing algorithms;
fLanguage :
English
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7130
Type :
jour
DOI :
10.1109/82.386175
Filename :
386175
Link To Document :
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