Blackman-type windows for sampling series

Journal of Computational Analysis and Applications

Volumn 7, Issue 4, 2005, Pages 361-371

  Kivinukk, Andi ^a,b   Tamberg, Gert ^a,b  

^a TALLINN UNIVERSITY   (Estonia)

^b TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

Author keywords

Blackman kernel; Blackman window function; Operator norms; Order of approximation

Indexed keywords

EID: 33748663766     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. R. B. Blackman and J. W. Tukey, The measurement of power spectra, Dover, New York, 1959.
2. P. L. Butzer and R. J. Nessel, Fourier Analysis and Approximation (vol. 1), Birkhäuser Verlag, Basel, Stuttgart, 1971.
3. P. L. Butzer, W. Splettstößer, and R. L. Stens, The sampling theorems and linear prediction in signal analysis, Jahresber. Deutsch. Math-Verein, 90, 1-70 (1988).
4. F. J. Harris, On the use of windows for harmonic analysis, Proc. of the IEEE, 66, 51-83 (1978).
5. J. R. Higgins, Sampling Theory in Fourier and Signal Analysis, Clarendon Press, Oxford, 1996.
6. A. Kivinukk, Approximation of continuous functions by Rogosinski-type sampling series, in Modem Sampling Theory: Mathematics and Applications (J. Benedetto and P. Ferreira, eds.), Birkhäuser Verlag, Boston, 2001, pp. 233-248.
7. A. Kivinukk and G. Tamberg, Subordination in generalized sampling series by Rogosinski-type sampling series, in Proc. 1997 Intern. Workshop on Sampling Theory and Applications, Aveiro, Portugal, 1997, Univ. Aveiro, 1997, pp. 397-402.
8. A. Kivinukk and G. Tamberg, On sampling operators defined by the Hann window and some of their extensions, Sampling Theory in Signal and Image Processing, 2, 235-258 (2003).
9. R. L. Stens, Approximation of functions by Whittaker's cardinal series, in General Inequalities(vol. 4)(W. Walter, ed.), Birkhäuser Verlag, Basel, Stuttgart, 1984, pp. 137-149.
10. A. F. Timan, Theory of Approximation of Functions of a Real Variable, MacMillan, New York, 1965. (Orig. Russian ed. Moscow, 1960).