Sequence determining method and apparatus

An apparatus, comprising:

• a storage medium including executable instructions;
• and
• at least one processor;
• wherein the executable instructions, when executed by the at least one processor, cause the apparatus to:
• determine a second sequence based on an index v of a sequence group, wherein the sequence group comprises a sequence {xn} and a sequence {ym}, and wherein the second sequence is at least one of a second sequence {fn} or a second sequence {gm};
• and
• receive uplink control information or a reference signal based on the second sequence, wherein:
• the sequence {xn} corresponds to a second sequence {fn}, and the second sequence {ym} corresponds to the second sequence {gm}, wherein fn is an element in the second sequence {fn}, gm is an element in the second sequence {gm}, a length of the second sequence {fn} is N, a length of the second sequence {gm} is M, n and m are integers, 0≤n≤N−1, and 0≤m≤M−1;
• the element fn satisfies fn=xn·ej·α·n;
• the element gn satisfies gm=ym·ej·α·m;
• A is a non-zero complex number, a is a real number, and j=√{square root over (−1)};
• an element xn in the sequence {xn} satisfies xn=u·eπ·j·sn/4, u is a non-zero complex number, and sn is an element in a sequence {sn};
• an element ym in the sequence {ym} satisfies ym=kq(m mod Mprime),
• k
• q
• (
• i
• )
• =
• e
• -
• j
• ⁢
• π
• ·
• q
• ·
• i
• ·
• (
• i
• +
• 1
• )
• M
• prime
• ,
• i is an integer, 0≤i≤Mprime−1, Mprime is a largest prime number smaller than M;
• and
• when N=18 and M=36, a combination of the sequence {sn} and q is one of following combinations, wherein the following combinations belong to a combination set, and the following combinations comprise:
• the sequence {sn} is {−1, 3, −1, −3, 3, 1, −3, −1, 3, −3, −1, −1, 1, 1, 1, −1, −1, −1}, and q=1;
• the sequence {sn} is {3, −3, 3, −1, 1, 3, −3, −1, −3, −3, −1, −3, 3, 1, −1, 3, −3, 3}, and q=2;
• the sequence {sn} is {−3, 3, 1, −1, −1, 3, −3, −1, 1, 1, 1, 1, 1, −1, 3, −1, −3, −1}, and q=3;
• the sequence {sn} is {1, 1, −1, −1, −3, −1, 1, −3, −3, −3, 1, −3, −1, −1, 1, −1, 3, 1}, and q=5;
• the sequence {sn} is {−3, 3, −1, 1, 3, 1, −3, −1, 1, 1, −3, 1, 3, 3, −1, −3, −3, −3}, and q=7;
• the sequence {sn} is {3, −1, 3, 1, −3, −3, −1, 1, −3, −3, 3, 3, 3, 1, 3, −3, 3, −3}, and q=10;
• the sequence {sn} is {−3, −3, −3, 1, −3, 3, 1, 1, 3, −3, −3, 1, 3, −1, 3, −3, −3, 3}, and q=11;
• the sequence {sn} is {−3, −3, 3, 3, 3, −1, −1, −3, −1, −1, −1, 3, 1, −3, −3, −1, 3, −1}, and q=12;
• the sequence {sn} is {−3, −1, −3, −3, 1, 1, −1, −3, −1, −3, −1, −1, 3, 3, −1, 3, 1, 3}, and q=13;
• the sequence {sn} is {−3, 3, −1, −3, −1, −3, 1, 1, −3, −3, −1, −1, 3, −3, 1, 3, 1, 1}, and q=15;
• the sequence {sn} is {−3, 1, −3, −1, −1, 3, 1, −3, −3, −3, −1, −3, −3, 1, 1, 1, −1, −1}, and q=19;
• the sequence {sn} is {3, 3, 3, −3, −1, −3, −1, 3, −1, 1, −1, −3, 1, −3, −3, −1, 3, 3}, and q=20;
• and
• the sequence {sn} is {−3, 3, 1, −1, −1, −1, −1, 1, −1, 3, 3, −3, −1, 1, 3, −1, 3, −1}, and q=30.

A non-transitory computer-readable storage medium comprising instructions which, when executed by a computer, cause the computer to carry out the following:

• determining a second sequence based on an index v of a sequence group, wherein the sequence group comprises a sequence {xn} and a sequence {ym}, and wherein the second sequence is at least one of a second sequence {fn} or a second sequence {gm};
• and
• receiving uplink control information or a reference signal based on the second sequence, wherein:
• the sequence {xn} corresponds to a second sequence {fn}, and the second sequence {ym} corresponds to the second sequence {gm}, wherein fn is an element in the second sequence {fn}, gm is an element in the second sequence {gm}, a length of the second sequence {fn} is N, a length of the second sequence {gm} is M, in and m are integers, 0≤n≤N−1, and 0≤m≤M−1;
• the element fn satisfies fn=xm·ej·α·n;
• the element gm satisfies gm=ym·ej·α·m;
• A is a non-zero complex number, a is a real number, and j=√{square root over (−1)};
• an element xn in the sequence {xn} satisfies xn=u·eπ·j·sn/4, u is a non-zero complex number, and sn is an element in a sequence {sn};
• an element ym in the second sequence {ym} satisfies ym=kq(m mod Mprime),
• k
• q
• (
• i
• )
• =
• e
• -
• j
• ⁢
• π
• ·
• q
• ·
• i
• ·
• (
• i
• +
• 1
• )
• M
• prime
• ,
• i is an integer, 0≤i≤Mprime−1, Mprime is a largest prime number smaller than M;
• and
• when N=18 and M=36, a combination of the sequence {sn} and q is one of following combinations, wherein the following combinations belong to a combination set, and the following combinations comprise:
• the sequence {sn} is {−1, 3, −1, −3, 3, 1, −3, −1, 3, −3, −1, −1, 1, 1, 1, −1, −1, −1}, and q=1;
• the sequence {sn} is {3, −3, 3, −1, 1, 3, −3, −1, −3, −3, −1, −3, 3, 1, −1, 3, −3, 3}, and q=2;
• the sequence {sn} is {−3, 3, 1, −1, −1, 3, −3, −1, 1, 1, 1, 1, 1, −1, 3, −1, −3, −1}, and q=3;
• the sequence {sn} is {1, 1, −1, −1, −3, −1, 1, −3, −3, −3, 1, −3, −1, −1, 1, −1, 3, 1}, and q=5;
• the sequence {sn} is {−3, 3, −1, 1, 3, 1, −3, −1, 1, 1, −3, 1, 3, 3, −1, −3, −3, −3}, and q=7;
• the sequence {sn} is {3, −1, 3, 1, −3, −3, −1, 1, −3, −3, 3, 3, 3, 1, 3, −3, 3, −3}, and q=10;
• the sequence {sn} is {−3, −3, −3, 1, −3, 3, 1, 1, 3, −3, −3, 1, 3, −1, 3, −3, −3, 3}, and q=11;
• the sequence {sn} is {−3, −3, 3, 3, 3, −1, −1, −3, −1, −1, −1, 3, 1, −3, −3, −1, 3, −1}, and q=12;
• the sequence {sn} is {−3, −1, −3, −3, 1, 1, −1, −3, −1, −3, −1, −1, 3, 3, −1, 3, 1, 3}, and q=13;
• the sequence {sn} is {−3, 3, −1, −3, −1, −3, 1, 1, −3, −3, −1, −1, 3, −3, 1, 3, 1, 1}, and q=15;
• the sequence {sn} is {−3, 1, −3, −1, −1, 3, 1, −3, −3, −3, −1, −3, −3, 1, 1, 1, −1, −1} and q=19;
• the sequence {sn} is {3, 3, 3, −3, −1, −3, −1, 3, −1, 1, −1, −3, 1, −3, −3, −1, 3, 3}, and q=20;
• and
• the sequence {sn} is {−3, 3, 1, −1, −1, −1, −1, 1, −1, 3, 3, −3, −1, 1, 3, −1, 3, −1}, and q=30.