Title | ||
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Analytic derivation of the finite wordlength effect of the twiddle factors in recursive implementation of the sliding-DFT |
Abstract | ||
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Analytic derivation of the erroneous effect is presented for the sliding-DFT, which is implemented in a recursive way with the finite-bit approximation of the twiddle factors. The derivation is based on the statistical exploration of the error dynamic equation that describes the error propagation of the recursion. The analysis result is obtained in a closed-form equation of the noise-to-signal power ratio employing the zero-mean white Gaussian signal as the target input and is verified with data obtained from computer simulation |
Year | DOI | Venue |
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2000 | 10.1109/78.839998 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
error propagation,twiddle factors,signal processing,noise-to-signal power ratio,recursive implementation,approximation theory,error dynamic equation,statistical exploration,statistical analysis,finite wordlength effect,error analysis,zero-mean white gaussian signal,erroneous effect,sliding-dft,discrete fourier transforms,target input,gaussian processes,finite-bit approximation,closed-form equation,computer simulation,threshold voltage,interference,gain,blanking,repeaters,shape,closed form equation | Applied mathematics,Propagation of uncertainty,Twiddle factor,Control theory,Signal-to-noise ratio,Closed-form expression,Approximation theory,Gaussian process,Recursion,Approximation error,Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 5 | 1053-587X |
Citations | PageRank | References |
3 | 0.63 | 4 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jaehwa Kim | 1 | 8 | 2.81 |
Tae-Gyu Chang | 2 | 100 | 13.22 |