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Volumn 14, Issue 2, 2003, Pages 107-132

Coarse quantization of highly redundant time-frequency representations of square-integrable functions

Author keywords

Coarse quantization; Gabor frames; Oversampling; Redundant time frequency representations; Sigma delta quantization; Weyl Heisenberg frames; Windowed Fourier frames

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DELTA SIGMA MODULATION; ERROR ANALYSIS; FOURIER TRANSFORMS; SAMPLING;

EID: 0242573549     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1063-5203(03)00020-4     Document Type: Article
Times cited : (12)

References (13)
  • 3
    • 85030935245 scopus 로고    scopus 로고
    • Reconstructing a bandlimited function from very coarsely quantized data: A family of stable igma-delta modulators of arbitrary order
    • to appear
    • I. Daubechies, R. DeVore, Reconstructing a bandlimited function from very coarsely quantized data: A family of stable igma-delta modulators of arbitrary order, Ann. of Math., to appear.
    • Ann. of Math.
    • Daubechies, I.1    Devore, R.2
  • 7
    • 85030952132 scopus 로고    scopus 로고
    • Approximating a bandlimited function using very coarsely quantized data: Improved error estimates in sigma-delta quantization
    • submitted
    • C.S. Güntürk, Approximating a bandlimited function using very coarsely quantized data: Improved error estimates in sigma-delta quantization, J. Am. Math. Soc., submitted.
    • J. Am. Math. Soc.
    • Güntürk, C.S.1
  • 11
    • 0026712664 scopus 로고
    • Noise reduction in tight Weyl-Heisenberg frames
    • J. Munch, Noise reduction in tight Weyl-Heisenberg frames, IEEE Trans. Inform. Theory 38 (1992) 608-616.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 608-616
    • Munch, J.1
  • 12
    • 0037212229 scopus 로고    scopus 로고
    • Roundoff error analysis of the recursive moving window discrete Fourier transform
    • M. Tasche, H. Zeuner, Roundoff error analysis of the recursive moving window discrete Fourier transform, Adv. Comput. Math. 18 (2003) 65-78.
    • (2003) Adv. Comput. Math. , vol.18 , pp. 65-78
    • Tasche, M.1    Zeuner, H.2
  • 13
    • 0035982979 scopus 로고    scopus 로고
    • Stability analysis for several sigma-delta methods of coarse quantization of bandlimited functions
    • Ö. Yilmaz, Stability analysis for several sigma-delta methods of coarse quantization of bandlimited functions, Constr. Approx. 18 (2002) 599-623.
    • (2002) Constr. Approx. , vol.18 , pp. 599-623
    • Yilmaz, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.