{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T06:40:17Z","timestamp":1698561617901},"reference-count":7,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2008,9,12]],"date-time":"2008-09-12T00:00:00Z","timestamp":1221177600000},"content-version":"vor","delay-in-days":4213,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Trans Emerging Tel Tech"],"published-print":{"date-parts":[[1997,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A new class of coincidence (hit) arrays called cyclical hit arrays is defined. Cyclical hit arrays give insight into previously unknown properties of several sets of number theoretic frequency\u2010hop patterns, based on Welch\u2010Costas and Quadratic Congruence codes. Three theorems related to cyclical hit arrays are proved. The theorems are used to determine exact probability distribution functions of random variables which represent the number of coincidences between two arbitrary patterns from the same set of codes. The number of coincidences expresses interference levels between two users of code\u2010division multiple\u2010access (CDMA) systems which utilize the considered patterns. The obtained results can be used for computing the exact expressions for the total interference and for error probabilities in several CDMA systems.<\/jats:p>","DOI":"10.1002\/ett.4460080206","type":"journal-article","created":{"date-parts":[[2008,9,12]],"date-time":"2008-09-12T13:39:13Z","timestamp":1221226753000},"page":"149-154","source":"Crossref","is-referenced-by-count":0,"title":["Letter: Cyclical coincidence arrays and exact pdfs representing interference for some CDMA systems"],"prefix":"10.1002","volume":"8","author":[{"given":"Zoran","family":"Kosti\u0107","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gordana","family":"Pavlovi\u0107","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edward L.","family":"Titlebaum","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2008,9,12]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/7.68145"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"J. P.Costas:A study of a class of detection waveforms having nearly ideal range\u2010Doppler ambiguity properties. \u201cProceeding of the IEEE\u201d August1984 p.996\u20131009.","DOI":"10.1109\/PROC.1984.12967"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1980.tb03360.x"},{"key":"e_1_2_1_5_2","unstructured":"Z.Kostic E. L.Tillebaum:New families codes applicable to synchronous fiber\u2010optics CDMA systems and to arbitrary synchronous time\u2010hopping CDMA communication systems. In: 1991 IEEE International Symposium on Information Theory June1991 (Budapest Hungary)."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/26.310621"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/7.68142"},{"key":"e_1_2_1_8_2","volume-title":"Elementary number theory","author":"Burton D. M.","year":"1980"}],"container-title":["European Transactions on Telecommunications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fett.4460080206","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/ett.4460080206","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T04:42:20Z","timestamp":1698468140000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/ett.4460080206"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,3]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1997,3]]}},"alternative-id":["10.1002\/ett.4460080206"],"URL":"https:\/\/doi.org\/10.1002\/ett.4460080206","archive":["Portico"],"relation":{},"ISSN":["1124-318X","1541-8251"],"issn-type":[{"value":"1124-318X","type":"print"},{"value":"1541-8251","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,3]]}}}