the 3gpp ts 36 . 211 standard requires in time division duplex ( tdd ) downlink ( dl ) that a ue 109 receiving a dl grant in subframe n needs to transmit response ack / nak bits in an uplink ( ul ) subframe n + k , where k & gt ; 3 . fig3 to 11 illustrate the relation between dl / ul subframes associations for various combinations of assignments of dl / ul to particular subframes . each of theses relations illustrated in fig3 to 11 are compliant with the requirement of the standard . fig3 to 11 illustrate frames 310 , 320 and 330 . each frame 310 , 320 and 330 has subframes 0 to 9 . subframes 0 and 5 are shaded to aid in determining the subframe alignment in the drawings . fig3 illustrates the ack / nak response paths for a dl / ul subframe configuration 0 where subframes 0 , 1 , 5 and 6 are devoted to dl and subframes 2 , 3 , 4 , 7 , 8 and 9 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 4 . a ue 109 receiving a dl grant in subframe 1 transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 5 transmits a responsive ack / nak signal in subframe 9 . a ue 109 receiving a dl grant in subframe 6 transmits a responsive ack / nak signal in subframe 1 of the next frame . each of the ul subframes 2 , 4 , 7 and 9 receive dl grant signals from a single dl subframe . ul subframes 3 , 5 and 8 receive dl grant signals from no dl subframe . fig4 illustrates the ack / nak response paths for a dl / ul subframe configuration 1 where subframes 0 , 1 , 4 , 5 , 6 and 9 are devoted to dl and subframes 2 , 3 , 7 and 8 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 1 also transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 4 transmits a responsive ack / nak signal in subframe 8 . a ue 109 receiving a dl grant in subframe 5 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 9 transmits a responsive ack / nak signal in subframe 3 of the next frame . each of the ul subframes 2 and 7 receive dl grant signals from two dl subframes . each of ul subframes 3 and 8 receive dl grant signals from one dl subframe . fig5 illustrates the ack / nak response paths for a dl / ul subframe configuration 2 where subframes 0 , 1 , 3 , 4 , 5 , 6 , 8 and 9 are devoted to dl and subframes 2 and 7 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 1 also transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 3 also transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 4 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 8 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 9 transmits a responsive ack / nak signal in subframe 7 of the next frame . each of the ul subframes 2 and 7 receive dl grant signals from four dl subframes . fig6 illustrates the ack / nak response paths for a dl / ul subframe configuration 3 where subframes 0 , 1 , 5 , 6 , 7 , 8 and 9 are devoted to dl and subframes 2 , 3 and 4 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 4 . a ue 109 receiving a dl grant in subframe 1 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 7 transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 8 also transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 9 transmits a responsive ack / nak signal in subframe 3 of the next frame . ul subframe 2 receives dl grant signals from three dl subframes . each of the ul subframes 3 and 4 receive dl grant signals from two dl subframes . fig7 illustrates a first alternate of the ack / nak response paths for a dl / ul subframe configuration 3 where subframes 0 , 1 , 5 , 6 , 7 , 8 and 9 are devoted to dl and subframes 2 , 3 and 4 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 4 . a ue 109 receiving a dl grant in subframe 1 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 7 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 8 transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 9 transmits a responsive ack / nak signal in subframe 3 of the next frame . ul subframe 2 receives dl grant signals from five dl subframes . each of the ul subframes 3 and 4 receive dl grant signals from one dl subframe . fig8 illustrates a second alternative of the ack / nak response paths for a dl / ul subframe configuration 3 where subframes 0 , 1 , 5 , 6 , 7 , 8 and 9 are devoted to dl and subframes 2 , 3 and 4 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 4 . a ue 109 receiving a dl grant in subframe 1 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 7 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 8 also transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 9 also transmits a responsive ack / nak signal in subframe 3 of the next frame . ul subframe 2 receives dl grant signals from four dl subframes . ul subframe 3 receives dl grant signals from two dl subframes . ul subframe 4 receives dl grant signal form a single dl subframe . fig9 illustrates the ack / nak response paths for a dl / ul subframe configuration 4 where subframes 0 , 1 , 4 , 5 , 6 , 7 , 8 and 9 are devoted to dl and subframes 2 and 3 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 1 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 4 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant on subframe 6 transmits a responsive ack / nak signal on subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 7 also transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 8 also transmits a responsive ack / nak signal in subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 9 also transmits a responsive ack / nak signal in subframe 3 of the next frame . each of ul subframes 2 and 3 receives dl grant signals from four dl subframes . fig1 illustrates the ack / nak response paths for a dl / ul subframe configuration 5 where subframes 0 , 1 , 3 , 4 , 5 , 6 , 7 , 8 and 9 are devoted to dl and subframe 2 is devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 1 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 4 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant on subframe 6 also transmits a responsive ack / nak signal on subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 7 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 8 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant in subframe 9 also transmits a responsive ack / nak signal in subframe 2 of the next frame . ul subframe 2 receives dl grant signals from nine dl subframes . fig1 illustrates the ack / nak response paths for a dl / ul subframe configuration 6 where subframes 0 , 1 , 5 , 6 and 9 are devoted to dl and subframes 2 , 3 , 4 , 7 and 8 are devoted to ul . a ue 109 receiving a dl grant in subframe 0 transmits a responsive ack / nak signal in subframe 7 . a ue 109 receiving a dl grant in subframe 1 transmits a responsive ack / nak signal in subframe 8 . a ue 109 receiving a dl grant in subframe 5 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant on subframe 6 transmits a responsive ack / nak signal on subframe 3 of the next frame . a ue 109 receiving a dl grant in subframe 9 transmits a responsive ack / nak signal in subframe 4 of the next frame . each of ul subframes 2 , 3 , 4 , 7 and 8 receive dl grant signals from a single dl subframe . these response patterns are summarized in table 2 . table 2 shows the dl subframes containing dl grants , as well as ul subframes containing ack / nak to support dl harq . the first column of table 2 lists the configuration as noted above . the second column of table 2 indicates the ul subframe used for the required ack / nak for each dl subframe . the third column of table 2 indicates the number of dl subframes associated with each ul subframe . the 3gpp ts 36 . 211 standard requires in time division duplex ( tdd ) uplink ( ul ) that a ue 109 receiving a dl grant or ack / nak on physical hybrid repeat request channel ( phich ) in subframe n needs to transmit or retransmit ul data bits in an uplink ( ul ) subframe n + k , where k & gt ; 3 . fig1 to 19 illustrate the relation between dl / ul subframes associations for various combinations of assignments of dl / ul to particular subframes . each of theses relations illustrated in fig1 to 19 are compliant with the requirement of the standard . fig1 to 19 illustrate frames 310 , 320 and 330 . each frame 310 , 320 and 330 has subframes 0 to 9 . subframes 0 and 5 are shaded to aid in determining the subframe alignment in the drawings . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 0 where subframes 0 , 1 , 5 and 6 are devoted to dl and subframes 2 , 3 , 4 , 7 , 8 and 9 are devoted to ul . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 0 transmits ul data in subframes 4 or 7 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 1 transmits ul data in subframe 8 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 5 transmits ul data in subframe 9 or subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 6 transmits ul data in subframe 3 of the next frame . a responding ue 109 transmits ul data in subframes 2 , 3 , 4 , 7 , 8 or 9 . fig1 illustrates an alternative for the ul data response paths for dl / ul subframe configuration 0 where subframes 0 , 1 , 5 and 6 are devoted to dl and subframes 2 , 3 , 4 , 7 , 8 and 9 are devoted to ul . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 0 transmits ul data in subframe 4 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 1 transmits ul data in subframes 7 or 8 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 5 transmits ul data in subframe 9 or subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 6 transmits ul data in subframes 2 or 3 of the next frame . a responding ue 109 transmits ul data in subframes 2 , 3 , 4 , 7 , 8 or 9 . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 1 where subframes 1 , 4 , 5 , 6 and 9 are devoted to dl and subframes 2 , 3 , 7 and 8 are devoted to ul . note that subframes 0 and 6 nominally noted as a dl subframe cannot be used for dl grant or an ack / nak on phich . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 1 transmits ul data in subframe 7 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 4 transmits ul data in subframe 8 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 6 also transmits a responsive ack / nak signal in subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 9 transmits ul data in subframe 3 of the next frame . a responding ue 109 transmits ul data in subframes fig1 illustrates the ul data response paths for a dl / ul subframe configuration 2 where subframes 3 and 8 are devoted to dl and subframes 2 and 7 are devoted to ul . note that subframes 0 , 1 , 4 , 5 , 6 and 9 nominally noted as a dl subframes cannot be used for dl grant or an ack / nak on phich . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 3 also transmits ul data in subframe 7 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 8 transmits ul data in subframe 2 of the next frame . a responding ue 109 transmits ul data in subframes 2 and 7 . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 3 where subframes 0 , 8 and 9 are devoted to dl and subframes 2 , 3 and 4 are devoted to ul . note that subframes 1 , 5 , 6 , 7 nominally noted as dl subframes cannot be used for dl grant or an ack & gt ; nak on phich . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 0 transmits ul data in subframe 4 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 8 transmits ul data in subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 9 transmits ul data in subframe 3 of the next frame . a responding ue 109 transmits ul data in subframes 2 , 3 and 4 . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 4 where subframes 8 and 9 are devoted to dl and subframes 2 and 3 are devoted to ul . note that subframes 0 , 1 , 4 , 5 , 6 and 7 nominally dl subframes cannot be used for dl grant or an ack / nak on phich . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 8 transmits ul data in subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 9 transmits ul data in subframe 3 of the next frame . a responding ue 109 transmits ul data in subframes 2 and 3 . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 5 where subframe 8 is devoted to dl and subframe 2 is devoted to ul . note that subframes 0 , 1 , 3 , 4 , 5 , 6 , 7 and 9 nominally noted as dl subframes cannot be used to transmit a dl grant or and ack / nak on phich . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 8 transmits ul data in subframe 2 of the next frame . a responding ue 109 transmits ul data in subframe 2 . fig1 illustrates the ul data response paths for a dl / ul subframe configuration 6 where subframes 0 , 1 , 5 , 6 and 9 are devoted to dl and subframes 2 , 3 , 4 , 7 and 8 are devoted to ul . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 0 transmits ul data in subframe 7 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 1 transmits ul data in subframe 8 . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 5 also transmits ul data in subframe 2 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich on subframe 6 transmits ul data on subframe 3 of the next frame . a ue 109 receiving a dl grant or an ack / nak on phich in subframe 9 transmits ul data in subframe 4 of the next frame . a responding ue 109 transmits ul data in subframes 2 , 3 , 4 , 7 and 8 . these response patterns are summarized in table 2 . table 3 shows the dl subframes containing dl grants or ack / naks on phich . the first column of table 3 lists the configuration as noted above . the second column of table 3 indicates the ul subframe used for the required ul data for each dl subframe . the third column of table 3 indicates the number of subframes used for the ul data response .