One-Step Calculation Circuit of FFT and Its Application

Liu, Yiyang; Wang, Chunhua; Sun, Jingru; Du, Sichun; Hong, Qinghui

doi:10.1109/tcsi.2022.3159803

Cited by 11 publications

(3 citation statements)

References 52 publications

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“…The transformation theory of IFFT is well-established and will not be discussed in detail in this paper. For further information, please refer to reference [10][11][12] .…”

Section: Low Order Cyclic Statistics Of Radiant Source Signalmentioning

confidence: 99%

Time-frequency preprocessing method of radiation source signal based on cyclic statistics

Huang

Yan

2023

International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023)

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To improve the real-time performance of radiation source signal time-frequency analysis, a fast radiation source signal time-frequency feature extraction method based on low-order cyclic statistics and Choi-Williams transform is proposed. First, the low-order cyclic statistics of the radiation source signal are calculated. Second, the IFFT is used to recover the cyclic domain signal, and the number of sampling points of the radiation source signal is adaptively controlled by the cyclic mean and IFFT point number. Finally, the recovered signal is used for CWD time-frequency analysis. In order to highlight the time-frequency image features, the geometric features of the signal modulation type are extracted using binary image transformation. Simulation analysis shows that the proposed time-frequency preprocessing method can significantly reduce the computational complexity while maintaining the accuracy of time-frequency features and improving real-time performance, providing effective support for subsequent sorting and recognition and parameter estimation work.

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“…The transformation theory of IFFT is well-established and will not be discussed in detail in this paper. For further information, please refer to reference [10][11][12] .…”

Section: Low Order Cyclic Statistics Of Radiant Source Signalmentioning

confidence: 99%

Time-frequency preprocessing method of radiation source signal based on cyclic statistics

Huang

Yan

2023

International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023)

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show abstract

“…A promising convolution algorithm based on Hirschman theory has been developed with a configuration optimization strategy [7][8][9]. Meanwhile, fast discrete Hirschman transforms (DHTs) have been studied and motivated other research [10][11][12][13]. Specifically, a split-radix DHT (SRDHT) introduces an 'L'-shaped structure to reduce non-trivial real computations at the expense of additional permutations.…”

mentioning

confidence: 99%

An efficient implementation for linear convolution with reduced latency in FPGA

Xue,

DeBrunner,

DeBrunner

et al. 2024

Electronics Letters

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A recently developed linear convolution filter based on Hirschman theory has shown its advantage in saving computations compared with other convolution filters. Here, the Hirschman convolution filter is improved with the use of the split‐radix algorithm and explore its latency‐reduced advantage for the first time. A comparison of hardware resources in Field Programmable Gate Array (FPGA) between the proposed Hirschman‐based filter and other convolution filters is presented. Simulation results indicate that the split‐radix Hirschman convolution filter achieves a promising reduction in latency by 18.15% on average with an acceptable power consumption rise by about 3.05%. In the case of a device capacity limited implementation, the proposed Hirschman convolution filter is still computationally attractive as it uses a small‐size originator function instead of larger Fourier transform.

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“…A promising convolution algorithm based on Hirschman theory has been developed with a configuration optimization strategy [7][8][9]. Meanwhile, fast Discrete Hirschman transforms (DHTs) have been studied in [10,11] and motivated some related work [12,13]. Among these fast Hirschman Transforms, a split-radix DHT (SRDHT) introduces an "L"-shaped structure that could reduce nontrivial real computations at an expense of additional permutations.…”

mentioning

confidence: 99%

An Efficient Implementation for Linear Convolution with Reduced Latency in FPGA

Xue

DeBrunner

et al. 2023

Preprint

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A recently developed linear convolution filter based on Hirschman theory has shown its advantage in saving computations compared with other convolution filters. In this paper, we ameliorate the Hirschman convolution filter with the usage of split-radix algorithm and explore its latency-reduced advantage for the first time. We present a comparison of hardware resource in FPGA for the proposed Hirschman-based filter and other convolution filters. Simulation results indicate that the split-radix Hirschman convolution filter achieves a promising reduction in latency by averagely 18.15% with an acceptable power consumption rise, compared with the main competitor using extended SRFFT. In the case of device capacity limited, the proposed Hirschman convolution filter is still computationally attractive as it performs small-size originator function, instead of larger Fourier transform required by other convolution filters.

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One-Step Calculation Circuit of FFT and Its Application

Cited by 11 publications

References 52 publications

Time-frequency preprocessing method of radiation source signal based on cyclic statistics

Time-frequency preprocessing method of radiation source signal based on cyclic statistics

An efficient implementation for linear convolution with reduced latency in FPGA

An Efficient Implementation for Linear Convolution with Reduced Latency in FPGA

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