DOI: 10.1016/s0019-9958(62)90633-2. Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces

Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces

10.1016/s0019-9958(62)90633-2

Crossref journal-article

Elsevier BV

Information and Control (78)

Bibliography

Petersen, D. P., & Middleton, D. (1962). Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces. Information and Control, 5(4), 279â323.

Authors 2

Daniel P. Petersen (first)
David Middleton (additional)

References 31 Referenced 498

10.1109/TIT.1957.1057404 / IRE Trans. on Information Theory / A note on the sampling principle for continuous signals by Balakrishnan (1957)
10.1071/PH560297 / Australian J. Phys. / Two dimensional aerial smoothing in radio astronomy by Bracewell (1956)
{'key': '10.1016/S0019-9958(62)90633-2_bib3', 'first-page': '105', 'article-title': 'Science and Information Theory', 'author': 'Brillouin', 'year': '1956'} / Science and Information Theory by Brillouin (1956)
10.1109/TIT.1961.1057649 / IRE Trans. on Information Theory / Optimum prefiltering of sampled data by Brown (1961)
{'key': '10.1016/S0019-9958(62)90633-2_bib5', 'first-page': '538', 'article-title': 'Optimum transmission of continuous signal over a sampled data link', 'volume': '79', 'author': 'Chang', 'year': '1961', 'journal-title': 'AIEE Trans. II'} / AIEE Trans. II / Optimum transmission of continuous signal over a sampled data link by Chang (1961)
10.4153/CJM-1951-045-8 / Can. J. Math. / Extreme forms by Coxeter (1951)
{'key': '10.1016/S0019-9958(62)90633-2_bib7', 'first-page': '96', 'article-title': 'An Introduction to the Theory of Random Signals and Noise', 'author': 'Davenport', 'year': '1958'} / An Introduction to the Theory of Random Signals and Noise by Davenport (1958)
{'key': '10.1016/S0019-9958(62)90633-2_bib8', 'first-page': '549', 'article-title': 'Optimum linear filtering of signals prior to sampling', 'volume': '79', 'author': 'DeRusso', 'year': '1961', 'journal-title': 'AIEE Trans. II'} / AIEE Trans. II / Optimum linear filtering of signals prior to sampling by DeRusso (1961)
10.1109/TIT.1955.1055126 / IRE Trans. on Information Theory / Predictive coding by Elias (1955)
10.1109/TIT.1955.1055117 / IRE Trans. on Information Theory / A note on the sampling theorem by Fogel (1955)
{'key': '10.1016/S0019-9958(62)90633-2_bib11', 'first-page': '179', 'article-title': 'Truncation error of sampling theorem expansions', 'volume': '50', 'author': 'Helms', 'year': '1962'} / Truncation error of sampling theorem expansions by Helms (1962)
{'key': '10.1016/S0019-9958(62)90633-2_bib12', 'first-page': '10', 'article-title': 'Methods of Applied Mathematics', 'author': 'Hildebrand', 'year': '1952'} / Methods of Applied Mathematics by Hildebrand (1952)
{'key': '10.1016/S0019-9958(62)90633-2_bib13', 'first-page': '71', 'article-title': 'On the discretization of signals with an unbounded spectrum', 'volume': '14', 'author': "Ignat'ev", 'year': '1960', 'journal-title': 'Elektrosvyaz'} / Elektrosvyaz / On the discretization of signals with an unbounded spectrum by Ignat'ev (1960)
10.1109/TIT.1956.1056821 / IRE Trans. on Information Theory / Some general aspects of the sampling theorem by Jagerman (1956)
{'key': '10.1016/S0019-9958(62)90633-2_bib15', 'first-page': '151', 'article-title': 'Tables of Functions with Formulae and Curves', 'author': 'Jahnke', 'year': '1945'} / Tables of Functions with Formulae and Curves by Jahnke (1945)
{'key': '10.1016/S0019-9958(62)90633-2_bib16', 'first-page': '122', 'article-title': 'Discrete representations of random signals', 'author': 'Jordan', 'year': '1960'} / Discrete representations of random signals by Jordan (1960)
{'key': '10.1016/S0019-9958(62)90633-2_bib17', 'series-title': 'On the transmission capacity of “ether” and wire in electrocommunications', 'author': "Kotel'nikov", 'year': '1933'} / On the transmission capacity of “ether” and wire in electrocommunications by Kotel'nikov (1933)
10.1016/S0019-9958(60)90242-4 / Inform. and Control / A generalization of the sampling theorem by Linden (1960)
{'key': '10.1016/S0019-9958(62)90633-2_bib19', 'first-page': '206', 'article-title': 'An Introduction to Statistical Communication Theory', 'author': 'Middleton', 'year': '1960'} / An Introduction to Statistical Communication Theory by Middleton (1960)
{'key': '10.1016/S0019-9958(62)90633-2_bib20', 'first-page': '421', 'article-title': 'Sampling theorem of stationary stochastic variables in multi-dimensional space', 'volume': '42', 'author': 'Miyakawa', 'year': '1959', 'journal-title': 'J. Inst. Elec. Commun. Engrs. (Japan)'} / J. Inst. Elec. Commun. Engrs. (Japan) / Sampling theorem of stationary stochastic variables in multi-dimensional space by Miyakawa (1959)
{'key': '10.1016/S0019-9958(62)90633-2_bib21', 'first-page': '456', 'article-title': 'Methods of Theoretical Physics', 'author': 'Morse', 'year': '1953'} / Methods of Theoretical Physics by Morse (1953)
{'key': '10.1016/S0019-9958(62)90633-2_bib22', 'first-page': '617', 'article-title': 'Certain topics in telegraph transmission theory', 'volume': '47', 'author': 'Nyquist', 'year': '1928', 'journal-title': 'Trans. AIEE'} / Trans. AIEE / Certain topics in telegraph transmission theory by Nyquist (1928)
{'key': '10.1016/S0019-9958(62)90633-2_bib23', 'series-title': 'Sampled-Data Control Systems', 'author': 'Ragazzini', 'year': '1958'} / Sampled-Data Control Systems by Ragazzini (1958)
{'key': '10.1016/S0019-9958(62)90633-2_bib24', 'series-title': "Application of Miyakawa's multi-dimensional sampling theorem", 'author': 'Sasakawa', 'year': '1961'} / Application of Miyakawa's multi-dimensional sampling theorem by Sasakawa (1961)
{'key': '10.1016/S0019-9958(62)90633-2_bib25', 'first-page': '10', 'article-title': 'Communication in the presence of noise', 'volume': '37', 'author': 'Shannon', 'year': '1949'} / Communication in the presence of noise by Shannon (1949)
{'key': '10.1016/S0019-9958(62)90633-2_bib26', 'series-title': 'The Mathematical Theory of Communication', 'author': 'Shannon', 'year': '1949'} / The Mathematical Theory of Communication by Shannon (1949)
{'key': '10.1016/S0019-9958(62)90633-2_bib27', 'first-page': '43', 'article-title': 'Fourier Transforms', 'author': 'Sneddon', 'year': '1951'} / Fourier Transforms by Sneddon (1951)
10.1109/TCT.1960.1086679 / IRE Trans. on Circuit Theory / Theoretical bounds on the performance of sampled data communications systems by Spilker (1960)
{'key': '10.1016/S0019-9958(62)90633-2_bib29', 'first-page': '253', 'article-title': 'Statistical design and evaluation of filters for the restoration of sampled data', 'volume': '44', 'author': 'Stewart', 'year': '1956'} / Statistical design and evaluation of filters for the restoration of sampled data by Stewart (1956)
{'key': '10.1016/S0019-9958(62)90633-2_bib30', 'first-page': '181', 'article-title': 'On the functions which are represented by the expansions of the interpolatory theory', 'volume': '35', 'author': 'Whittaker', 'year': '1915'} / On the functions which are represented by the expansions of the interpolatory theory by Whittaker (1915)
{'key': '10.1016/S0019-9958(62)90633-2_bib31', 'first-page': '3', 'article-title': 'The quantization of stochastic signals with infinite spectrum and some results of the theory of pulse transmission of information', 'volume': '3', 'author': 'Zheleznov', 'year': '1958', 'journal-title': 'Radiotekh. i Elektron'} / Radiotekh. i Elektron / The quantization of stochastic signals with infinite spectrum and some results of the theory of pulse transmission of information by Zheleznov (1958)

Dates

Type	When
Created	20 years, 8 months ago (Dec. 15, 2004, 4:12 a.m.)
Deposited	6 years, 7 months ago (Jan. 31, 2019, 8:50 a.m.)
Indexed	1 month, 1 week ago (July 28, 2025, 5:40 p.m.)
Issued	62 years, 9 months ago (Dec. 1, 1962)
Published	62 years, 9 months ago (Dec. 1, 1962)
Published Print	62 years, 9 months ago (Dec. 1, 1962)

Funders 0

None

BibTeX

@article{Petersen_1962, title={Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces}, volume={5}, ISSN={0019-9958}, url={http://dx.doi.org/10.1016/s0019-9958(62)90633-2}, DOI={10.1016/s0019-9958(62)90633-2}, number={4}, journal={Information and Control}, publisher={Elsevier BV}, author={Petersen, Daniel P. and Middleton, David}, year={1962}, month=dec, pages={279–323} }

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