{"responseHeader":{"status":0,"QTime":6,"params":{"q":"{!q.op=AND}id:\"102847\"","hl":"true","hl.simple.post":"","hl.fragsize":"5000","fq":"!embargo_tdt:[NOW TO *]","hl.fl":"ocr_t","hl.method":"unified","wt":"json","hl.simple.pre":""}},"response":{"numFound":1,"start":0,"docs":[{"file_name_t":"Soller-Automated_Detection.pdf","thumb_s":"/91/6c/916c5a08704827d99a9ea5a391d54775211ea3b6.jpg","oldid_t":"compsci 10960","setname_s":"ir_computersa","restricted_i":0,"format_t":"application/pdf","modified_tdt":"2016-05-26T00:00:00Z","file_s":"/10/12/1012534a1c703450b16af7c770e37237edb5f4cf.pdf","title_t":"Page 90","ocr_t":"75 (11.11) Iff E LP(Dd) and p = 1 or 2, the error is calculated for the full sine cardinal series as [156] (11.12) The infinite sine cardinal series calculation is theoretically important, but can usually not be calculated explicitly. The error bounds can be extended to truncated sine approximations, which are computationally feasible. Assume that f E La,f3(Dd)· Select a positive integer N and define M by M = r f3 N I a l' where r ·l denotes the greatest integer function. If the algorithm chooses ( 7rd ) t h = (3M ' (11.13) then (11.14) where /{1 is a constant depending on f, p, and d. Some problems require the calculation of a sine cardinal series approximation over finite or semi-infinite intervals, r. This is accomplished by applying a conformal mapping, c/J, that transforms r toR. Let Dt be a domain in the z =X+ iy plane with distinct boundary points a and b. Let w = cjy(z) be a one-to-one conformal mapping of D onto the infinite strip Dd ={wE C: w = u + iv, !vi< d}, (11.15) with c/J(a) = -oo and cjJ(b) = +oo. Given L = {iv: !vi < d} and/, a simple closed contour in D [108] [156], set","id":102847,"created_tdt":"2016-05-26T00:00:00Z","parent_i":102961,"_version_":1642982670134673410}]},"highlighting":{"102847":{"ocr_t":[]}}}