Recursive discrete Fourier transform with unified IIR filter structures
Signal Processing
VLSI Architecture for the Low-Computation Cycle and Power-Efficient Recursive DFT/IDFT Design
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Analog DFT processors for OFDM receivers: circuit mismatch and system performance analysis
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Design of a mixed prime factor FFT for portable digital radio mondiale receiver
IEEE Transactions on Consumer Electronics
New flexible OFDM structure for consumer electronics communication systems
IEEE Transactions on Consumer Electronics
IEEE Transactions on Circuits and Systems II: Express Briefs
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Low-cost, fast-computational, power-efficient, and reconfigurable design for recursive discrete Fourier transform (RDFT) is proposed in this brief. The proposed method is the first integration that collated both the prime factor algorithm (PFA) and the Chinese reminder theorem (CRT) into a recursive algorithm. Hence, a multicycle RDFT algorithm (PFA + CRT + RDFT) and its hardware implementation are produced and presented here in great detail. Compared with some well-known recursive algorithms, the significant improvements for the proposed algorithm can be summarized as follows: 1) The number of computational cycles of the proposed algorithm can be saved by up to 88.5%; 2) The number of multiplications and additions for the proposed algorithm is dramatically reduced by up to 85.2% and 85.2%, respectively; 3) The amount of coefficient read-only memory for storing the twiddle factors totally takes 694 words fewer than those of other existing RDFT algorithms; 4) The hardware cost of the proposed algorithm only takes four real multipliers and eight real adders. This design is more suitable for digital radio mondiale (DRM) systems, such as coded orthogonal frequency-division-multiplexing modulation. The proposed RDFT algorithm was designed and fabricated using a O.18-µm 1P6M CMOS process. The core area is 521 × 508 µm2, and this hardware accelerator only consumes 8.44 mW at 25 MHz. Furthermore, the performance index of power for this design is three times discrete Fourier transform (DFT) per energy of previous work. Additionally, it can calculate the 288/256/176/112-point DFTs for a portable DRM receiver.