Method for synchronizing a base station with a mobile station, a base station and a mobile station

A base station comprising:

• a part for storing or forming a signal sequence K(i) formed using the following formation rule using modulated repetition of a partial signal sequence “a” consisting of 16 elements:
• K=<a, a, a, −a, −a, a, −a, −a, a, a, a, −a, a, −a, a, a>,
• and wherein the signal sequence is formed in accordance with the following relationship wherein a partial second signal sequence K2(k) of length n2=16 is repeated n1=16 times and is modulated in the process by the first partial signal sequence K1(j) of length n1=16, the modulation of the second partial signal sequence K2(k) can be obtained using the following rule:
• K(i)=K2(i mod n2)*K1(i div 2), for i=0 . . . n1*n2−1,
• at least one of the partial signal sequences being a Golay sequence Xn(k) of length nx=n1=16 which can be formed using the following relationship
• X0(k)=δ(k)
• X′0(k)=δ(k)
• Xn(k)=Xn-1(k)+Wn*X′n-1(k−Dn)
• X′n(k)=Xn-1(k)−Wn*X′n-1(k−Dn)
• k=0, 1, 2, . . . , 2NX−1
• n=1, 2, . . . , NX
• Dn=2Pn
• where
• nx=16=2NX
• NX=4
• δ(k):
• Kronecker delta function,
• the permutation P1, P2, P3, P4 and unit variable W1, W2, W3, W4 can be used to form a partial signal sequence being taken from the following set of permutation/unit variable pairs (P1, P2, P3, P4, W1, W2, W3, W4;):
• 3201, +1−1+1+1;
• 3201, −1−1+1+1;
• 3201, +1−1−1+1;
• 3201, −1−1−1+1;
• 3201, +1 −1+1−1;
• 3201, −1−1+1−1;
• 3201, +1−1−1−1;
• 3201, −1−1−1−1;
• 1023, +1+1−1+1;
• 1023, −1+1−1+1;
• 1023, +1−1−1+1;
• 1023, −1−1−1+1;
• 1023, +1+1−1−1;
• 1023, −1+1−1 −1;
• 1023, +1−1−1−1;
• 1023, −1−1−1−1;
• and
• parts for emitting the signal sequence K1(j) with the aim of synchronization with a receiving unit.

A mobile station comprising a part for determining a signal sequence K(i) formed using the following formation rule using modulated repetition of a partial signal sequence “a” consisting of 16 elements:

• K=<a, a, a, −a, −a, a, −a, −a, a, a, a, −a, a, −a, a, a>,
• and wherein the signal sequence is formed in accordance with the following relationship wherein a second partial signal sequence K2(k) of length n2=16 is repeated n1=16 times and is modulated in the process with a first partial signal sequence K1(j) of length n1=16, the modulation of the second partial signal sequence K2(k) can be obtained using the following rule:
• K(i)=K2(i mod n2)*K1(i div n2), for i=0 . . . n1*n2−1,
• at least one of the partial signal sequences being a Golay sequence Xn(k) of length nx=n1=16, which can be formed using the following relationship:
• X0(k)=δ(k)
• X′0(k)=δ(k)
• Xn(k)=Xn-1(k)+Wn*X′n-1(k−Dn)
• X′n(k)=Xn-1(k)−Wn*X′n-1(k−Dn),
• k=0, 1, 2, . . . , 2NX−1
• n=1, 2, . . . , NX
• Dn=2Pn
• where
• nx=16=2NX
• NX=4
• δ(k):
• Kronecker delta function,
• the permutation P1, P2, P3, P4 and unit variable W1, W2, W3, W4 can be used to form a partial signal sequence being taken from the following set of permutation/unit variable pairs (P1, P2, P3, P4, W1, W2, W3, W4;):
• 3201, +1−1+1+1;
• 3201, −1−1+1+1;
• 3201, +1−1−1+1;
• 3201, −1−1−1+1;
• 3201, +1 −1+1−1;
• 3201, −1−1+1−1;
• 3201, +−1−1−1−1;
• 3201, −1−1−1−1;
• 1023, +1+1−1+1;
• 1023, −1+1−1+1;
• 1023, +1−1−1+1;
• 1023, −1−1−1+1;
• 1023, +1+1−1−1;
• 1023, −1+1−1 −1;
• 1023, +1−1−1−1;
• 1023, −1−1−1−1;
• and knowledge of the first and second partial signal sequences K1(j) K2(k) being used;
• and
• a processor for processing the signal sequence K(i) for synchronization with a base station.