Optimized multi-mode DFT implementation

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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Reexamination Certificate

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08010588

ABSTRACT:
The present invention relates to a method and apparatus for implementing a discrete Fourier transformation (DFT) of a predetermined vector size, wherein at least one enhanced DFT module is provided by using at least one type of DFT module including multiplication by first and second types of twiddle factors in respective different multiplication stages separated by an intermediate integration stage, and generating the enhanced DFT module by combining the at least one type of DFT module with a recursive stage configured to multiply by a third type of twiddle factor and to selectively switch between a bypass function and a butterfly function in said recursive stage. Thereby, an implementation of non 2x-radix Fourier transformation can be achieved with moderate hardware complexity.

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patent: 2010/0306298 (2010-12-01), Cenciotti et al.
Erling H. Wold, et al.; “Pipeline and Parallel-Pipeline FFT Processors for VLSI Implementations”; May 1984; pp. 414-426. XP 000671267.
S. Winograd, et al.; “On Computing the Discrete Fourier Transform”; Nov. 1976; pp. 1-25. XP 013119542.
Richard C. Singleton; “An Algorithm for Computing the Mixed Radix Fast Fourier Transform”; Dec. 1968; pp. 93-103. XP 002509044.
Rami Al Na'Mneh, et al.; “Five-step FFT Algorithm with Reduced Computational Complexity”; Oct. 2006; pp. 262-267. XP 005831232.
Andreas Ibing, et al.; “On Hardware Implementation of Multiuser Multiplexing for SC-FDMA”; Jun. 2007; pp. 2056-2059 XP 031147770.

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