Multi-beam receiver apertures using multiplierless 8-point approximate DFT

Kulasekera, Sunera; Madanayake, Arjuna; Suarez, Dora; Cintra, Renato J.; Bayer, Fábio M.

doi:10.1109/radar.2015.7131185

Cited by 9 publications

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“…Our methodology can be directly applied to any DFT for which the block length is a perfect square. Since the current DFT approximations in the literature are restricted to the sizes {8, 16, 32} [8], [35], [48], [50], [51], approximate algorithms can be derived for N ∈ {64, 256, 1024}. In this work, we focused on the 1024-point case.…”

Section: Discussionmentioning

confidence: 99%

“…Considering the frequency response error expressed in logmagnitude units, Fig. 3 shows (i) the upper and lower envelopes and (ii) the first, second, and third quartiles of the error resulting from the proposed approximate filter banks [47], [48]. For ease of visual inspection, we show only the normalized frequencies on the interval [−π/4, π/4].…”

Section: Performance Of the Proposed Approximationsmentioning

confidence: 99%

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Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming

et al. 2020

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The discrete Fourier transform (DFT) is widely employed for multi-beam digital beamforming. The DFT can be efficiently implemented through the use of fast Fourier transform (FFT) algorithms, thus reducing chip area, power consumption, processing time, and consumption of other hardware resources. This paper proposes three new hybrid DFT 1024-point DFT approximations and their respective fast algorithms. These approximate DFT (ADFT) algorithms have significantly reduced circuit complexity and power consumption compared to traditional FFT approaches while trading off a subtle loss in computational precision which is acceptable for digital beamforming applications in RF antenna implementations. ADFT algorithms have not been introduced for beamforming beyond N = 32, but this paper anticipates the need for massively large adaptive arrays for future 5G and 6G systems. Digital CMOS circuit designs for the ADFTs show the resulting improvements in both circuit complexity and power consumption metrics. Simulation results show similar or lower critical path delay with up to 48.5% lower chip area compared to a standard Cooley-Tukey FFT. The time-area and dynamic power metrics are reduced up to 66.0%. The 1024-point ADFT beamformers produce signal-to-noise ratio (SNR) gains between 29.2-30.1 dB, which is a loss of ≤ 0.9 dB SNR gain compared to exact 1024-point DFT beamformers (worst case) realizable at using an FFT.

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Section: Discussionmentioning

confidence: 99%

Section: Performance Of the Proposed Approximationsmentioning

confidence: 99%

Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming

et al. 2020

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Extensions on Low-Complexity DCT Approximations for Larger Blocklengths Based on Minimal Angle Similarity

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et al. 2023

J Sign Process Syst

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Wireless Communications and Applications Above 100 GHz: Opportunities and Challenges for 6G and Beyond

et al. 2019

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Frequencies from 100 GHz to 3 THz are promising bands for the next generation of wireless communication systems because of the wide swaths of unused and unexplored spectrum. These frequencies also offer the potential for revolutionary applications that will be made possible by new thinking, and advances in devices, circuits, software, signal processing, and systems. This paper describes many of the technical challenges and opportunities for wireless communication and sensing applications above 100 GHz, and presents a number of promising discoveries, novel approaches, and recent results that will aid in the development and implementation of the sixth generation (6G) of wireless networks, and beyond. This paper shows recent regulatory and standard body rulings that are anticipating wireless products and services above 100 GHz and illustrates the viability of wireless cognition, hyper-accurate position location, sensing, and imaging. This paper also presents approaches and results that show how long distance mobile communications will be supported to above 800 GHz since the antenna gains are able to overcome airinduced attenuation, and present methods that reduce the computational complexity and simplify the signal processing used in adaptive antenna arrays, by exploiting the Special Theory of Relativity to create a cone of silence in over-sampled antenna arrays that improve performance for digital phased array antennas. Also, new results that give insights into power efficient beam steering algorithms, and new propagation and partition loss models above 100 GHz are given, and promising imaging, array processing, and position location results are presented. The implementation of spatial consistency at THz frequencies, an important component of channel modeling that considers minute changes and correlations over space, is also discussed. This paper offers the first in-depth look at the vast applications of THz wireless products and applications and provides approaches for how to reduce power and increase performance across several problem domains, giving early evidence that THz techniques are compelling and available for future wireless communications. INDEX TERMS mmWave, millimeter wave, 5G, D-band, 6G, channel sounder, propagation measurements, Terahertz (THz), array processing, imaging, scattering theory, cone of silence, digital phased arrays, digital beamformer, signal processing for THz, position location, channel modeling, THz applications, wireless cognition, network offloading. I. INTRODUCTION The tremendous funding and research efforts invested in millimeter wave (mmWave) wireless communications, and The associate editor coordinating the review of this manuscript and approving it for publication was Thomas Kuerner. the early success of 5G trials and testbeds across the world, ensure that commercial widespread 5G wireless networks will be realized by 2020 [1]. The use of mmWave in 5G wireless communication will solve the spectrum shortage in current 4G cellular communication systems that operate

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Multi-beam receiver apertures using multiplierless 8-point approximate DFT

Abstract: International audienc

Cited by 9 publications

References 16 publications

Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming

Fast Radix-32 Approximate DFTs for 1024-Beam Digital RF Beamforming

Extensions on Low-Complexity DCT Approximations for Larger Blocklengths Based on Minimal Angle Similarity

Wireless Communications and Applications Above 100 GHz: Opportunities and Challenges for 6G and Beyond

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