Title
Vector radix-4×4 for fast calculation of the 2-D new Mersenne number transform
Abstract
This paper describes the vector-radix-4×4 decimation-in-time (VR-4×4 DIT) for fast calculation of the two-dimensional new Mersenne number transform (2-D NMNT). The new 2-D algorithm is developed and implemented. Its arithmetic complexity is also analysed. Since the 2-D NMNT can be used for error-free calculation of 2-D convolution and auto/cross-correlation functions, the use of this algorithm will improve the efficiency of calculating these functions using the 2-D NMNT leading to a better performance of related applications. The new VR-4×4 and existing 2-D NMNT algorithms are compared with respect to their arithmetic operations and computer runtimes. Finally, an example is given to prove the validity of the developed algorithm and the error-free nature of the 2-D NMNT.
Year
DOI
Venue
2004
10.1016/j.sigpro.2004.07.008
Signal Processing
Keywords
Field
DocType
cross correlation function
Signal processing,Decimation,Mersenne prime,Convolution,Arithmetic,Algorithm,Radix,Number theory,Mathematics,Autocorrelation
Journal
Volume
Issue
ISSN
84
12
0165-1684
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
S. Boussakta113511.59
O. Alshibami2101.45
A. Bouridane319924.68