Title :
Some alternate realizations of the arithmetic Fourier transform
Author :
Lovine, Frederic P. ; Tantaratana, Sawasd
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
Abstract :
This paper presents some alternate methods to realize the arithmetic Fourier transform (AFT). Method one uses recursion to remove the need for the Mobius function. Method two modulates the input signal with a cosine wave to remove the need for the Mobius function. Method three integrates the input signal to eliminate the divisions inherent in the AFT. Delta-modulation and the integration method are combined to produce a multiplier free structure for realizing the AFT. The performance of these methods are compared
Keywords :
Fourier transforms; delta modulation; digital arithmetic; integration; signal processing; arithmetic Fourier transform; cosine wave; delta-modulation; input signal integration; input signal modulation; integration method; multiplier free structure; performance; recursion; signal processing; Arithmetic; Digital arithmetic; Discrete Fourier transforms; Fourier series; Fourier transforms;
Conference_Titel :
Signals, Systems and Computers, 1993. 1993 Conference Record of The Twenty-Seventh Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-4120-7
DOI :
10.1109/ACSSC.1993.342524
