• Title/Summary/Keyword: SDFT (Sliding Discrete Fourier Transform)

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An Efficient Transceiver Technique for Wideband VHF Baseband Modem (광대역 VHF 기저대역 모뎀의 효율적인 송·수신 기법)

  • Lee, Hwang-Hee;Kim, Jae-Hwan;Yang, Won-Young;Cho, Yong-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38B no.4
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    • pp.305-313
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    • 2013
  • As an FMT (Filtered Multi-Tone) transmission method of Wideband VHF communication system specified by the ETS (European Telecommunications Standards) EN 300 392-2, this paper introduces three existing realization methods, i.e., the direct filtering method using different band SRRC (Square-Root Raised Cosine) filters for each subcarrier, the PPN-DFT method using the IDFT-PPN (Poly-Phase Network) and PPN-DFT at the transmitter and receiver, respectively, and the Extended DFT method. Then, it proposes the extended IDFT-SDFT (Sliding Discrete Fourier Transform) that computes the DFT values only for interested subcarriers every sample time, and shows that it has an advantage of blind symbol timing (using no training symbol) individually for each user signal (independently of other users' signals) in the multi-user environment where the subcarriers are assigned in contiguous or interleaved blocks to each user and each user signal possibly experiences different channels.

Analytic Derivation of the Finite Wordlength Effect of the Twiddle Factors in Recursive Implementation of the Sliding-DFT (SDFT 순환 구현 시 진동계수의 유한 비트 표현에 따른 오차영향 해석)

  • 김재화;장태규
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.48-53
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    • 1999
  • This paper presents an analytic derivation of the erroneous effect when the sliding-DFT is implemented in a recursive way with the finite-bit approximation of the twiddle factors. The analysis result is obtained in a closed form equation of the noise-to-signal power ratio(NSR) employing the zero-mean white Gaussian signal as the target input of the DFT. The parameters of the wordlength used in representing the twiddle factors and the blocklength of the DFT appear in the NSR explicitly as its function variables. The derivation is based on the error dynamic equation which is derived from the recursive SDFT, and on the analytic exploration of the statistical characteristics of the approximation coefficients treating them as random variables of having spatial distributions. The analytically derived results are verified through the comparison with the data actually measured from the computer simulation experiment.

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Analytic derivation of the finite wordlength errors in fixed-point implementation of SDFT (SDFT 고정소수점 연산에 대한 유한 비트 오차영향 해석)

  • Chang, Tae-Gyu;Kim, Jae-Hwa
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.37 no.4
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    • pp.65-71
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    • 2000
  • Finite wordlength effect of the recursive implementation of SDFT(sliding-DFT) is analytically derived in this paper. Representation errors of the twiddle coefficients and the data registers are the two major causes of the spectral errors in the recursive implementation. The noise-to-signal ratio is analytically derived in terms of the coefficients wordlength, the data registers wordlength, and the DFT's block-length used in the computation Error dynamic equation is obtained from the recursive DFT and the probabilistic models for the coefficients error and the round-off error are introduced for the NSR derivation, The result of the NSR derivation is verified with the simulation data.

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