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Volumn 28, Issue 2, 2008, Pages 101-118

Sigma-delta quantization errors and the traveling salesman problem

Author keywords

Frames; PCM; Peano space filling curve; Quantization; Sigma delta modulation; Traveling salesman problem

Indexed keywords


EID: 38549084687     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-006-9016-1     Document Type: Article
Times cited : (7)

References (24)
  • 2
    • 0037212207 scopus 로고    scopus 로고
    • Finite normalized tight frames
    • Benedetto, J., Fickus, M.: Finite normalized tight frames. Adv. Comput. Math. 18, 357-385 (2003)
    • (2003) Adv. Comput. Math. , vol.18 , pp. 357-385
    • Benedetto, J.1    Fickus, M.2
  • 4
    • 32044458439 scopus 로고    scopus 로고
    • Second order sigma-delta (Σ Δ) quantization of finite frame expansions
    • Benedetto, J., Powell, A.M., YIlmaz, Ö.: Second order sigma-delta (Σ Δ) quantization of finite frame expansions. Appl. Comput. Harmon. Anal. 20, 126-148 (2006)
    • (2006) Appl. Comput. Harmon. Anal. , vol.20 , pp. 126-148
    • Benedetto, J.1    Powell, A.M.2    Yilmaz, Ö.3
  • 5
    • 33751512263 scopus 로고
    • Spectra of quantized signals
    • Bennett, W.: Spectra of quantized signals. Bell Syst. Tech. J. 27, 446-472 (1948)
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 446-472
    • Bennett, W.1
  • 7
    • 0347544077 scopus 로고    scopus 로고
    • Reconstructing a bandlimited function from very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order
    • 2
    • Daubechies, C.I., DeVore, R.: Reconstructing a bandlimited function from very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order. Ann. Math. 158(2), 679-710 (2003)
    • (2003) Ann. Math. , vol.158 , pp. 679-710
    • Daubechies, C.I.1    Devore, R.2
  • 9
    • 33645770294 scopus 로고    scopus 로고
    • Generation of finite tight frames by Householder transformations
    • Feng, D.J., Wang, L., Wang, Y.: Generation of finite tight frames by Householder transformations. Adv. Comput. Math. 24, 297-309 (2006)
    • (2006) Adv. Comput. Math. , vol.24 , pp. 297-309
    • Feng, D.J.1    Wang, L.2    Wang, Y.3
  • 10
    • 84959651668 scopus 로고
    • The shortest path and the shortest road through n points
    • Few, L.: The shortest path and the shortest road through n points. Mathematika 2, 141-144 (1955)
    • (1955) Mathematika , vol.2 , pp. 141-144
    • Few, L.1
  • 11
    • 33749416800 scopus 로고
    • Sums of squares of edge lengths and spacefilling curve heuristics for the traveling salesman problem
    • 2
    • Gao, J., Steele, J.M.: Sums of squares of edge lengths and spacefilling curve heuristics for the traveling salesman problem. SIAM J. Discrete Math. 7(2), 314-324 (1994)
    • (1994) SIAM J. Discrete Math. , vol.7 , pp. 314-324
    • Gao, J.1    Steele, J.M.2
  • 12
    • 38549166150 scopus 로고
    • Quantizers and the worst-case Euclidean traveling salesman problem
    • 1
    • Goddyn, L.: Quantizers and the worst-case Euclidean traveling salesman problem. J. Comb. Theory, Ser. B 50(1), 65-81 (1990)
    • (1990) J. Comb. Theory, Ser. B , vol.50 , pp. 65-81
    • Goddyn, L.1
  • 15
    • 0025519836 scopus 로고
    • Quantized noise spectra
    • 6
    • Gray, R.: Quantized noise spectra. IEEE Trans. Inf. Theory 36(6), 1220-1244 (1990)
    • (1990) IEEE Trans. Inf. Theory , vol.36 , pp. 1220-1244
    • Gray, R.1
  • 16
    • 0346398557 scopus 로고    scopus 로고
    • Approximating a bandlimited function using very coarsely quantized data
    • Güntürk, S.: Approximating a bandlimited function using very coarsely quantized data. J. Am. Math. Soc. 17, 229-242 (2004)
    • (2004) J. Am. Math. Soc. , vol.17 , pp. 229-242
    • Güntürk, S.1
  • 17
    • 38549111041 scopus 로고    scopus 로고
    • PCM quantization errors and the white noise hypothesis
    • submitted to
    • Jimenez, D., Wang, L., Wang, Y.: PCM quantization errors and the white noise hypothesis. submitted to SIAM J. Math. Anal.
    • SIAM J. Math. Anal.
    • Jimenez, D.1    Wang, L.2    Wang, Y.3
  • 18
    • 0000822667 scopus 로고
    • Peano curves and smoothness of functions
    • 2
    • Milne, S.: Peano curves and smoothness of functions. Adv. Math. 35(2), 129-157 (1980)
    • (1980) Adv. Math. , vol.35 , pp. 129-157
    • Milne, S.1
  • 19
    • 0040628977 scopus 로고
    • On the length of optimal TSP circuits in sets of bounded diameter
    • 2
    • Moran, S.: On the length of optimal TSP circuits in sets of bounded diameter. J. Comb. Theory, Ser. B 37(2), 113-141 (1984)
    • (1984) J. Comb. Theory, Ser. B , vol.37 , pp. 113-141
    • Moran, S.1
  • 20
    • 0011283833 scopus 로고
    • Springer Berlin Heidelberg New York
    • Newman, D.J.: A Problem Seminar. Springer, Berlin Heidelberg New York (1982)
    • (1982) A Problem Seminar
    • Newman, D.J.1
  • 21
    • 2942724277 scopus 로고    scopus 로고
    • Recent advances in DFT codes based on quantized finite frame expansions with erasure channels
    • 4
    • Rath, G., Guillemot, C.: Recent advances in DFT codes based on quantized finite frame expansions with erasure channels. Elsevier J. Digit. Signal Process. 14(4), 332-354 (July 2004)
    • (2004) Elsevier J. Digit. Signal Process. , vol.14 , pp. 332-354
    • Rath, G.1    Guillemot, C.2
  • 22
    • 0029324861 scopus 로고
    • A priori bounds on the Euclidean traveling salesman
    • 3
    • Snyder, T., Steele, J.M.: A priori bounds on the Euclidean traveling salesman. SIAM J. Comput. 24(3), 665-671 (1995)
    • (1995) SIAM J. Comput. , vol.24 , pp. 665-671
    • Snyder, T.1    Steele, J.M.2
  • 24
    • 0028386320 scopus 로고
    • Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimate
    • 3
    • Thao, N., Vetterli, M.: Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimate. IEEE Trans. Signal Process 42(3), 519-531 (1994)
    • (1994) IEEE Trans. Signal Process , vol.42 , pp. 519-531
    • Thao, N.1    Vetterli, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.