US 11,082,269 B2 · Signal processing method, signal processing apparatus, computer readable storage medium, and computer program product

Abstract

This application provides a sequence-based signal processing method, a signal processing apparatus, a computer readable storage medium, and a computer program product. A sequence meeting a requirement in an environment in which a signal is sent by using a reference signal or a control channel is determined, where the sequence is a sequence {fn} including N elements, fn is an element in the sequence {fn}, and the determined sequence {fn} meets a preset condition; then the N elements in the sequence {fn} are mapped to N subcarriers respectively, to generate a first signal; and the first signal is sent. By using the foregoing determined sequence, weak cross-correlation between sequences can be maintained, and a relatively small PAPR value and a relatively small CM value of the reference signal or the control channel can be maintained, to meet a requirement in a communications application environment in which the signal is sent by using the reference signal or the control channel, particularly when a data signal on which π/2-BPSK modulation is performed is sent or frequency shaping is performed on the reference signal or the control channel.

A signal processing method, comprising:

determining a sequence {fn} comprising N elements, wherein fn is an element in the sequence {fn}, the sequence {fn}comprises the element fn=A·xn·e2π·j·a·n, wherein a value of n ranges from 0 to N−1, A is a non-zero complex number, a is a real number, xn=u·eρMπ·j·sn/M is an element in the sequence {fn}, u is a non-zero complex number, M is 4, 12, or 16, ρM is a real number, ρM is 1 or −1 when M is 4, ρM is 2 or −2 when M is 12 or 16, and wherein a sequence {sn} comprising an element sn is selected from a set of sequences comprising a first sequence set, an equivalent sequence of sequences in the first sequence set, a second sequence set, an equivalent sequence of sequences in the second sequence set, a third sequence set, and an equivalent sequence of sequences in the third sequence set, wherein
when the M is 4, the first sequence set comprises:
{−1, −1, −1, −1, −1, −1, 3, −1, 3, 3, −1, −1}, {3, 3, −1, 3, −1, 3, 3, −1, −1, −1, −1, −1}, {−1, −1, −1, −1, −3, 3, −1, 3, −3, −1, −1, −1}, {−1, −1, −1, −1, 1, 3, −1, 3, 1, −1, −1, −1}, {−3, 3, −1, −1, −3, −1, −1, 3, −3, 3, −1, −1}, {1, 3, −1, −1, 1, −1, −1, 3, 1, 3, −1, −1}, {−1, 3, −1, 3, −1, 3, 3, −1, −1, −1, −1, −1}, {−3, 3, −1, −3, 1, −1, 1, 3, 1, 1, −1, −1}, {1, 3, −1, 1, −3, −1, −3, 3, −3, −3, −1, −1}, {−3, 3, −1, 3, −1, 3, 3, −1, −1, −1, −1, −1}, {1, 3, −1, 3, −1, 3, 3, −1, −1, −1, −1, −1}, {3, −1, 3, 3, −1, 3, 3, 3, −1, −1, −1, −1}, {−1, 3, 1, −1, −3, 1, 3, −1, −1, −1, −1, −1}, {3, 1, 1, 1, −1, 3, 1, 1, 3, −3, −1, −1}, {3, −3, −3, −3, −1, 3, −3, −3, 3, 1, −1, −1}, {3, 1, 1, −3, 3, 1, 3, 1, 3, −3, −1, −1}, {3, −3, −3, 1, 3, −3, 3, −3, 3, 1, −1, −1}, {−3, 3, −3, −3, −3, −1, 3, −3, 3, 1, −1, −1}, {1, 3, 1, 1, 1, −1, 3, 1, 3, −3, −1, −1}, {−3, −3, 1, 3, −3, 3, −3, 1, −1, −3, −1, −1}, {−3, −3, 1, 1, −1, −1, −3, 1, −3, −3, −1, −1}, {1, 1, −3, −3, −1, −1, 1, −3, 1, 1, −1, −1}, {1, 3, −3, 1, −3, −1, −1, −1, −3, 3, −1, −1}, {−3, 3, 1, −3, 1, −1, −1, −1, 1, 3, −1, −1}, {3, −1, −3, −1, −3, 3, 3, −3, −1, 3, −1, −1}, {3, −1, 1, −1, 1, 3, 3, 1, −1, 3, −1, −1}, {−3, 1, −1, −1, 3, 1, 3, −1, −1, 1, −1, −1}, {1, −3, −1, −1, 3, −3, 3, −1, −1, −3, −1, −1}, {1, −1, 1, −1, 3, −1, 1, 3, 3, 1, −1, −1}, {−3, 1, 3, −1, 3, −3, 3, 1, 3, 3, −1, −1}, {1, −3, 3, −1, 3, 1, 3, −3, 3, 3, −, −1}, and {3, −1, 3, 3, −1, 3, 3, 3, 3, −1, −1, −},
wherein the second sequence set comprises a sequence set 2A and a sequence set 2B, wherein when the M is 12, the sequence set 2A comprises:
{0, 0, 6, 7, 10, 10, 10, 5, 10, 4, 2, 11}, {0, 0, 11, 0, 1, 11, 3, 8, 7, 2, 2, 9}, {0, 0, 2, 5, 8, 0, 7, 2, 0, 11, 11, 0}, {0, 0, 3, 4, 5, 3, 0, 7, 0, 4, 8, 8}, {0, 0, 9, 8, 7, 9, 0, 5, 0, 8, 4, 4}, {0, 0, 4, 6, 10, 11, 5, 1, 3, 1, 2, 0}, {0, 0, 0, 4, 4, 6, 0, 4, 1, 11, 6, 2}, {0, 0, 6, 3, 1, 8, 8, 10, 6, 10, 5, 10}, {0, 0, 3, 6, 10, 2, 9, 5, 3, 3, 4, 4}, {0, 0, 4, 3, 9, 8, 3, 6, 2, 5, 4, 6}, {0, 0, 1, 5, 5, 7, 1, 5, 2, 0, 7, 3}, {0, 0, 10, 9, 9, 6, 9, 1, 11, 5, 3, 10}, {0, 0, 8, 7, 6, 2, 4, 7, 4, 9, 7, 1}, {0, 0, 1, 4, 6, 9, 4, 10, 8, 7, 5, 6}, {0, 0, 9, 7, 6, 2, 4, 7, 4, 9, 6, 0}, {0, 0, 6, 7, 0, 1, 8, 4, 7, 5, 5, 5}, {0, 0, 4, 8, 0, 4, 0, 8, 7, 8, 9, 10}, {0, 0, 10, 9, 8, 10, 1, 6, 2, 10, 6, 7}, {0, 0, 4, 1, 7, 5, 10, 0, 8, 9, 7, 9}, {0, 0, 5, 0, 7, 1, 2, 8, 8, 8, 7, 9}, {0, 0, 7, 0, 5, 11, 10, 4, 4, 4, 5, 3}, {0, 0, 8, 8, 7, 7, 10, 2, 9, 5, 1, 11}, {0, 0, 9, 8, 7, 8, 11, 4, 0, 8, 3, 3}, {0, 0, 3, 4, 5, 4, 1, 8, 0, 4, 9, 9}, {0, 0, 4, 0, 6, 4, 9, 11, 7, 7, 6, 8}, {0, 0, 7, 5, 4, 11, 0, 3, 11, 4, 1, 5}, {0, 0, 8, 8, 8, 4, 7, 10, 7, 1, 0, 5}, {0, 0, 4, 0, 5, 2, 6, 7, 3, 3, 0, 0}, {0, 0, 7, 6, 5, 0, 1, 4, 0, 4, 2, 6}, {0, 0, 3, 6, 9, 0, 7, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 4, 3, 8, 2, 2, 10, 10, 7}, {0, 0, 11, 1, 1, 0, 4, 9, 7, 2, 3, 10}, {0, 0, 4, 8, 11, 4, 1, 6, 5, 4, 3, 10}, {0, 0, 8, 4, 1, 8, 11, 6, 7, 8, 9, 2}, {0, 0, 2, 2, 5, 4, 9, 3, 4, 0, 0, 10}, {0, 0, 3, 10, 3, 0, 4, 5, 0, 11, 9, 10}, {0, 0, 11, 0, 1, 11, 3, 8, 7, 2, 2, 10}, {0, 0, 2, 5, 8, 11, 6, 1, 11, 10, 10, 10}, {0, 0, 4, 7, 10, 2, 10, 5, 4, 4, 3, 4}, {0, 0, 6, 6, 8, 7, 6, 0, 4, 10, 7, 2}, {0, 0, 5, 3, 11, 10, 4, 8, 5, 7, 7, 10}, {0, 0, 4, 7, 10, 4, 0, 7, 7, 6, 6, 8}, {0, 0, 8, 7, 5, 6, 9, 1, 9, 4, 10, 10}, {0, 0, 4, 5, 7, 6, 3, 11, 3, 8, 2, 2}, {0, 0, 8, 4, 4, 11, 0, 3, 0, 5, 1, 6}, {0, 0, 5, 5, 7, 6, 5, 11, 3, 9, 6, 1}, {0, 0, 3, 3, 4, 3, 0, 7, 0, 3, 8, 8}, {0, 0, 9, 8, 6, 7, 10, 2, 10, 5, 0, 0}, {0, 0, 0, 10, 0, 6, 8, 6, 0, 10, 6, 0}, {0, 0, 8, 10, 7, 8, 3, 9, 8, 0, 2, 2}, {0, 0, 6, 0, 8, 2, 4, 8, 7, 6, 6, 2}, {0, 0, 6, 0, 4, 10, 8, 4, 5, 6, 6, 10}, {0, 0, 7, 3, 1, 6, 6, 7, 2, 5, 1, 4}, {0, 0, 4, 1, 7, 5, 11, 1, 9, 10, 9, 11}, {0, 0, 4, 1, 10, 4, 3, 4, 10, 1, 9, 0}, {0, 0, 4, 0, 6, 4, 8, 10, 6, 6, 4, 6}, {0, 0, 0, 10, 8, 6, 0, 6, 9, 11, 0, 1}, {0, 0, 4, 2, 11, 2, 1, 7, 9, 5, 10, 0}, {0, 0, 8, 10, 1, 10, 11, 5, 3, 7, 2, 0}, {0, 0, 6, 4, 2, 0, 1, 4, 10, 5, 0, 7}, {0, 0, 4, 6, 11, 4, 10, 7, 5, 5, 6, 7}, {0, 0, 11, 0, 1, 4, 9, 3, 0, 9, 7, 7}, {0, 0, 1, 0, 11, 8, 3, 9, 0, 3, 5, 5}, {0, 0, 4, 6, 10, 2, 9, 5, 4, 4, 5, 5}, {0, 0, 7, 1, 9, 3, 5, 9, 8, 7, 6, 3}, {0, 0, 5, 9, 1, 6, 3, 10, 10, 10, 10, 0}, {0, 0, 2, 3, 6, 6, 11, 6, 7, 4, 4, 1}, {0, 0, 3, 5, 8, 8, 2, 9, 10, 7, 8, 6}, {0, 0, 10, 0, 11, 9, 1, 5, 3, 9, 10, 5}, {0, 0, 5, 10, 3, 9, 7, 3, 4, 5, 6, 9}, {0, 0, 4, 8, 1, 6, 2, 11, 10, 0, 2, 3}, {0, 0, 8, 4, 11, 6, 10, 1, 2, 0, 10, 9}, {0, 0, 4, 1, 9, 3, 1, 2, 8, 10, 6, 8}, {0, 0, 3, 11, 4, 1, 6, 7, 2, 2, 0, 1}, {0, 0, 5, 6, 7, 3, 2, 7, 3, 6, 0, 7}, {0, 0, 7, 6, 5, 9, 10, 5, 9, 6, 0, 5}, {0, 0, 7, 5, 2, 2, 4, 7, 2, 8, 2, 1}, {0, 0, 2, 5, 8, 11, 6, 1, 11, 11, 10, 11}, {0, 0, 4, 8, 1, 6, 3, 11, 11, 0, 0, 2}, {0, 0, 7, 1, 7, 0, 1, 4, 2, 0, 10, 7}, {0, 0, 8, 1, 7, 3, 2, 1, 4, 6, 11, 0}, {0, 0, 10, 7, 4, 1, 6, 11, 1, 1, 1, 2}, {0, 0, 4, 7, 10, 3, 11, 6, 6, 5, 5, 6}, {0, 0, 7, 6, 3, 3, 5, 8, 3, 9, 3, 2}, {0, 0, 9, 10, 2, 3, 4, 0, 6, 1, 1, 9}, {0, 0, 5, 4, 2, 11, 0, 3, 9, 4, 11, 6}, {0, 0, 4, 8, 11, 4, 1, 6, 5, 4, 3, 11}, {0, 0, 8, 4, 1, 8, 11, 6, 7, 8, 9, 1}, {0, 0, 7, 4, 1, 11, 0, 2, 7, 1, 7, 3}, {0, 0, 10, 10, 10, 7, 10, 2, 0, 6, 5, 0}, {0, 0, 0, 9, 9, 7, 1, 8, 11, 1, 4, 3}, {0, 0, 0, 3, 3, 5, 11, 4, 1, 11, 8, 9}, {0, 0, 0, 6, 9, 4, 6, 5, 11, 8, 4, 1}, {0, 0, 7, 8, 11, 11, 11, 6, 11, 6, 4, 0}, {0, 0, 5, 11, 5, 8, 8, 1, 11, 9, 8, 10}, {0, 0, 3, 5, 6, 9, 4, 7, 4, 2, 10, 7}, {0, 0, 6, 4, 3, 10, 11, 1, 9, 2, 10, 3}, {0, 0, 6, 5, 0, 0, 8, 0, 9, 0, 1, 4}, {0, 0, 0, 10, 9, 7, 1, 8, 11, 1, 4, 4}, {0, 0, 8, 7, 5, 6, 9, 1, 9, 4, 11, 10}, {0, 0, 1, 3, 3, 4, 10, 1, 9, 6, 1, 8}, {0, 0, 1, 3, 5, 7, 1, 7, 4, 3, 2, 1}, {0, 0, 1, 10, 0, 9, 0, 5, 4, 11, 9, 5}, {0, 0, 5, 8, 1, 6, 2, 11, 11, 0, 2, 2}, {0, 0, 7, 4, 11, 6, 10, 1, 1, 0, 10, 10}, {0, 0, 6, 11, 4, 8, 8, 10, 7, 4, 1, 9}, {0, 0, 11, 9, 9, 7, 1, 8, 11, 1, 4, 4}, {0, 0, 3, 1, 9, 5, 4, 6, 11, 4, 10, 3}, {0, 0, 3, 7, 10, 2, 10, 5, 4, 3, 3, 4}, {0, 0, 0, 1, 1, 0, 4, 9, 7, 2, 2, 9}, {0, 0, 8, 8, 7, 4, 6, 10, 7, 1, 11, 5}, {0, 0, 5, 9, 1, 5, 1, 9, 8, 9, 10, 11}, {0, 0, 11, 1, 3, 10, 11, 6, 3, 7, 4, 10}, {0, 0, 11, 0, 2, 3, 8, 2, 10, 9, 6, 6}, {0, 0, 10, 0, 9, 11, 7, 1, 1, 5, 7, 9}, {0, 0, 8, 8, 11, 11, 11, 6, 11, 5, 4, 11}, {0, 0, 11, 10, 0, 9, 1, 5, 4, 11, 10, 5}, {0, 0, 9, 2, 10, 6, 5, 5, 8, 0, 5, 7}, {0, 0, 8, 6, 4, 5, 7, 11, 5, 0, 7, 7}, {0, 0, 2, 4, 6, 8, 4, 4, 0, 6, 1, 6}, {0, 0, 2, 3, 5, 4, 9, 3, 3, 11, 0, 8}, {0, 0, 6, 9, 0, 5, 2, 7, 6, 5, 4, 11}, {0, 0, 6, 3, 0, 7, 10, 5, 6, 7, 8, 1}, {0, 0, 6, 4, 11, 10, 5, 8, 5, 7, 8, 11}, {0, 0, 6, 4, 2, 10, 10, 1, 9, 2, 9, 2}, {0, 0, 4, 9, 0, 5, 2, 9, 9, 9, 9, 0}, {0, 0, 3, 7, 10, 2, 10, 5, 4, 4, 4, 5}, {0, 0, 9, 8, 7, 6, 11, 9, 2, 6, 10, 4}, {0, 0, 3, 4, 5, 6, 1, 3, 10, 6, 2, 8}, {0, 0, 3, 5, 7, 9, 5, 8, 4, 1, 10, 6}, {0, 0, 1, 10, 8, 6, 0, 6, 9, 10, 0, 11}, {0, 0, 11, 2, 4, 6, 0, 6, 3, 2, 0, 1}, {0, 0, 2, 4, 5, 9, 3, 9, 7, 5, 4, 5}, {0, 0, 10, 6, 4, 0, 4, 10, 11, 0, 1, 0}, {0, 0, 2, 6, 8, 0, 8, 2, 1, 0, 11, 0}, {0, 0, 4, 5, 7, 6, 4, 11, 5, 9, 3, 3}, {0, 0, 0, 8, 5, 3, 8, 1, 4, 3, 5, 3}, {0, 0, 0, 4, 7, 9, 4, 11, 8, 9, 7, 9}, {0, 0, 7, 6, 5, 4, 6, 10, 5, 1, 9, 4}, {0, 0, 4, 8, 0, 4, 0, 8, 7, 8, 9, 9}, {0, 0, 8, 4, 0, 8, 0, 4, 5, 4, 3, 3}, {0, 0, 0, 0, 1, 11, 3, 8, 7, 2, 2, 9}, {0, 0, 5, 2, 0, 6, 5, 7, 2, 5, 1, 3}, {0, 0, 5, 11, 5, 8, 8, 10, 6, 4, 0, 9}, {0, 0, 8, 1, 5, 0, 4, 3, 10, 10, 0, 0}, {0, 0, 6, 6, 8, 8, 6, 0, 4, 10, 9, 4}, {0, 0, 4, 2, 1, 10, 11, 2, 7, 3, 10, 5}, {0, 0, 8, 7, 5, 6, 8, 0, 7, 2, 9, 8}, {0, 0, 5, 3, 11, 8, 8, 10, 4, 9, 4, 9}, {0, 0, 7, 5, 3, 10, 11, 1, 9, 1, 10, 2}, {0, 0, 3, 6, 8, 0, 8, 0, 10, 8, 6, 1}, {0, 0, 3, 10, 6, 11, 8, 9, 2, 3, 11, 11}, {0, 0, 11, 0, 0, 2, 7, 0, 9, 6, 2, 3}, {0, 0, 1, 0, 0, 10, 5, 0, 3, 6, 10, 9}, {0, 0, 7, 10, 4, 10, 7, 5, 6, 8, 11, 11}, {0, 0, 4, 8, 1, 5, 4, 6, 3, 11, 9, 4}, {0, 0, 1, 1, 4, 2, 7, 1, 1, 10, 8, 6}, {0, 0, 3, 8, 1, 3, 2, 6, 3, 0, 10, 10}, {0, 0, 4, 7, 10, 2, 10, 4, 3, 2, 1, 2}, {0, 0, 10, 10, 9, 11, 3, 8, 5, 1, 9, 9}, and {0, 0, 2, 2, 3, 1, 9, 4, 7, 11, 3, 3},
wherein when the M is 16, the sequence set 2B comprises:
{9, 8, 11, 14, 1, 5, 14, 6, 3, 1, 0, 0}, {13, 12, 14, 1, 4, 7, 0, 8, 4, 3, 0, 0}, {14, 5, 11, 2, 9, 13, 9, 6, 10, 10, 0, 0}, {10, 12, 1, 3, 10, 10, 4, 14, 2, 15, 0, 0}, {12, 9, 12, 6, 12, 7, 12, 13, 5, 4, 0, 0}, {13, 12, 0, 2, 4, 8, 1, 8, 5, 3, 0, 0}, {13, 15, 6, 10, 1, 4, 14, 10, 14, 13, 0, 0}, {9, 8, 2, 0, 13, 14, 1, 6, 15, 8, 0, 0}, {7, 8, 14, 0, 3, 2, 15, 10, 1, 8, 0, 0}, {11, 11, 15, 3, 8, 13, 7, 1, 15, 15, 0, 0}, {7, 3, 6, 14, 7, 11, 6, 4, 9, 9, 0, 0}, {12, 12, 7, 6, 5, 7, 11, 2, 11, 6, 0, 0}, {4, 4, 9, 10, 11, 9, 5, 14, 5, 10, 0, 0}, {13, 14, 9, 8, 6, 8, 12, 2, 12, 6, 0, 0}, {3, 2, 7, 8, 10, 8, 4, 14, 4, 10, 0, 0}, {2, 10, 14, 4, 12, 15, 10, 7, 11, 11, 0, 0}, {4, 3, 4, 6, 8, 11, 3, 10, 6, 3, 0, 0}, {9, 6, 9, 4, 10, 5, 11, 12, 4, 4, 0, 0}, {2, 14, 0, 9, 15, 9, 14, 14, 5, 4, 0, 0}, {7, 6, 1, 15, 12, 13, 0, 5, 14, 7, 0, 0}, {13, 13, 9, 8, 6, 8, 12, 2, 12, 6, 0, 0}, {3, 3, 7, 8, 10, 8, 4, 14, 4, 10, 0, 0}, {6, 5, 8, 11, 15, 3, 12, 5, 2, 1, 0, 0}, {7, 15, 4, 13, 5, 9, 6, 3, 8, 8, 0, 0}, {13, 13, 1, 5, 10, 14, 8, 2, 15, 0, 0, 0}, {10, 9, 5, 5, 15, 0, 7, 14, 11, 15, 0, 0}, {13, 12, 6, 7, 1, 0, 8, 14, 12, 14, 0, 0}, {0, 6, 10, 13, 5, 6, 0, 11, 15, 13, 0, 0}, {11, 11, 13, 0, 3, 6, 15, 7, 4, 2, 0, 0}, {6, 2, 4, 13, 2, 12, 0, 0, 7, 5, 0, 0}, {6, 9, 3, 10, 0, 8, 6, 15, 15, 1, 0, 0}, {13, 4, 15, 11, 6, 1, 5, 13, 14, 15, 0, 0}, {8, 1, 6, 14, 6, 10, 6, 4, 9, 9, 0, 0}, {15, 15, 0, 2, 5, 8, 0, 8, 4, 2, 0, 0}, {13, 2, 9, 0, 8, 12, 8, 5, 10, 10, 0, 0}, {2, 2, 13, 15, 10, 11, 3, 11, 9, 13, 0, 0}, {9, 0, 6, 14, 6, 10, 7, 4, 9, 9, 0, 0}, {1, 10, 6, 3, 15, 11, 0, 9, 12, 14, 0, 0}, {13, 2, 11, 3, 10, 3, 2, 12, 13, 15, 0, 0}, {6, 11, 10, 0, 9, 15, 4, 2, 14, 12, 0, 0}, {6, 6, 1, 15, 12, 13, 0, 5, 14, 7, 0, 0}, {8, 8, 3, 4, 14, 14, 6, 13, 11, 14, 0, 0}, {7, 8, 4, 4, 3, 5, 9, 0, 10, 6, 0, 0}, {1, 6, 10, 13, 5, 6, 0, 11, 15, 13, 0, 0}, {1, 4, 0, 1, 0, 2, 7, 14, 9, 5, 0, 0}, {15, 8, 3, 8, 1, 11, 14, 0, 11, 10, 0, 0}, {1, 8, 13, 8, 15, 5, 2, 0, 5, 6, 0, 0}, {9, 15, 10, 4, 0, 8, 12, 2, 1, 1, 0, 0}, {7, 9, 4, 5, 3, 5, 10, 0, 12, 6, 0, 0}, {0, 15, 10, 9, 7, 9, 13, 3, 13, 7, 0, 0}, {0, 1, 6, 7, 9, 7, 3, 13, 3, 9, 0, 0}, {7, 10, 15, 1, 8, 9, 2, 13, 1, 15, 0, 0}, {9, 11, 1, 3, 9, 10, 4, 14, 2, 15, 0, 0}, {9, 1, 5, 9, 1, 3, 13, 9, 13, 12, 0, 0}, {12, 2, 7, 10, 2, 4, 14, 10, 14, 13, 0, 0}, {10, 8, 11, 14, 1, 5, 14, 6, 3, 1, 0, 0}, {7, 12, 1, 7, 14, 1, 12, 8, 12, 11, 0, 0}, {9, 8, 11, 13, 1, 5, 13, 6, 2, 1, 0, 0}, {6, 6, 6, 9, 10, 12, 4, 11, 6, 4, 0, 0}, {10, 10, 10, 7, 6, 4, 12, 5, 10, 12, 0, 0}, {12, 3, 3, 10, 4, 11, 0, 15, 12, 11, 0, 0}, {6, 6, 10, 11, 1, 0, 9, 2, 5, 1, 0, 0}, {10, 13, 1, 3, 10, 10, 4, 14, 2, 15, 0, 0}, {9, 8, 11, 14, 1, 5, 14, 6, 3, 2, 0, 0}, {6, 11, 15, 1, 8, 9, 2, 13, 1, 15, 0, 0}, {1, 8, 2, 9, 1, 5, 9, 7, 2, 15, 0, 0}, {12, 11, 14, 0, 3, 7, 15, 7, 3, 1, 0, 0}, {9, 7, 11, 13, 0, 5, 14, 6, 4, 2, 0, 0}, {11, 1, 2, 9, 3, 10, 0, 15, 12, 11, 0, 0}, {7, 7, 1, 2, 13, 14, 5, 13, 10, 15, 0, 0}, {0, 0, 5, 7, 13, 13, 6, 0, 3, 0, 0, 0}, {13, 3, 9, 0, 8, 12, 8, 5, 10, 10, 0, 0}, {5, 10, 15, 1, 8, 9, 2, 13, 0, 14, 0, 0}, {2, 5, 11, 13, 5, 7, 1, 12, 0, 15, 0, 0}, {0, 14, 1, 10, 3, 8, 3, 2, 7, 7, 0, 0}, {4, 5, 9, 10, 0, 15, 8, 1, 4, 0, 0, 0}, {10, 6, 10, 0, 5, 15, 2, 1, 8, 5, 0, 0}, {4, 0, 2, 11, 1, 11, 15, 15, 6, 5, 0, 0}, {10, 1, 6, 14, 6, 10, 6, 4, 9, 9, 0, 0}, {9, 5, 9, 0, 9, 12, 7, 5, 10, 9, 0, 0}, {15, 0, 10, 9, 7, 9, 13, 3, 13, 7, 0, 0}, {1, 0, 6, 7, 9, 7, 3, 13, 3, 9, 0, 0}, {14, 4, 11, 2, 9, 13, 9, 6, 10, 10, 0, 0}, {5, 4, 0, 14, 11, 12, 15, 4, 14, 7, 0, 0}, {11, 2, 7, 15, 7, 11, 7, 4, 9, 9, 0, 0}, {13, 6, 0, 13, 4, 14, 0, 9, 10, 11, 0, 0}, {4, 12, 15, 6, 13, 0, 11, 7, 11, 10, 0, 0}, {7, 3, 7, 14, 7, 11, 6, 4, 9, 9, 0, 0}, {9, 1, 6, 13, 6, 10, 6, 4, 9, 10, 0, 0}, {11, 8, 11, 4, 11, 6, 11, 12, 4, 3, 0, 0}, {14, 11, 14, 7, 13, 8, 13, 13, 5, 4, 0, 0}, {4, 14, 0, 6, 14, 1, 11, 8, 12, 11, 0, 0}, {6, 8, 9, 14, 7, 13, 5, 3, 14, 13, 0, 0}, {1, 0, 4, 8, 12, 0, 10, 3, 1, 0, 0, 0}, {9, 9, 14, 2, 7, 12, 6, 0, 15, 15, 0, 0}, {15, 15, 2, 4, 6, 9, 2, 9, 5, 3, 0, 0}, {4, 0, 3, 11, 1, 11, 15, 15, 6, 4, 0, 0}, {5, 5, 9, 12, 15, 3, 12, 5, 2, 1, 0, 0}, {15, 12, 15, 8, 14, 9, 13, 14, 6, 4, 0, 0}, {9, 13, 3, 8, 15, 2, 13, 9, 13, 12, 0, 0}, {12, 0, 4, 6, 12, 12, 5, 15, 2, 15, 0, 0}, {14, 12, 15, 2, 4, 8, 1, 8, 5, 3, 0, 0}, {5, 6, 3, 3, 1, 4, 9, 15, 11, 5, 0, 0}, {8, 8, 4, 4, 2, 5, 10, 0, 12, 6, 0, 0}, {8, 8, 12, 12, 14, 11, 6, 0, 4, 10, 0, 0}, {2, 13, 3, 14, 7, 4, 2, 5, 11, 0, 0, 0}, {14, 3, 13, 2, 9, 12, 14, 11, 5, 0, 0, 0}, {4, 10, 10, 0, 9, 15, 4, 2, 14, 13, 0, 0}, {9, 1, 6, 14, 6, 10, 6, 4, 9, 9, 0, 0}, {6, 10, 10, 0, 9, 15, 4, 2, 14, 12, 0, 0}, {1, 10, 14, 4, 12, 15, 10, 7, 11, 11, 0, 0}, {13, 2, 15, 4, 13, 2, 7, 5, 0, 13, 0, 0}, {5, 9, 6, 8, 9, 12, 2, 10, 6, 3, 0, 0}, {2, 2, 7, 8, 10, 8, 4, 13, 4, 9, 0, 0}, {12, 10, 13, 0, 2, 7, 0, 7, 5, 3, 0, 0}, {9, 6, 9, 0, 5, 15, 2, 1, 9, 6, 0, 0}, {15, 13, 7, 7, 1, 1, 9, 15, 12, 15, 0, 0}, {7, 10, 3, 10, 0, 8, 6, 15, 15, 1, 0, 0}, {13, 15, 4, 6, 12, 12, 5, 15, 2, 15, 0, 0}, {7, 10, 3, 10, 0, 8, 7, 0, 15, 1, 0, 0}, {14, 9, 12, 3, 12, 12, 6, 10, 9, 15, 0, 0}, {14, 15, 1, 4, 12, 2, 8, 5, 0, 14, 0, 0}, {4, 6, 11, 15, 6, 7, 1, 12, 0, 14, 0, 0}, {2, 1, 6, 9, 13, 1, 10, 3, 0, 0, 0, 0}, {11, 3, 15, 11, 6, 1, 5, 13, 15, 0, 0, 0}, {13, 11, 2, 11, 7, 0, 5, 9, 7, 7, 0, 0}, {3, 5, 14, 5, 9, 0, 11, 7, 9, 9, 0, 0}, {4, 8, 12, 14, 6, 7, 1, 12, 1, 15, 0, 0}, {4, 7, 11, 15, 6, 7, 1, 12, 0, 14, 0, 0}, {1, 14, 0, 9, 15, 9, 14, 14, 5, 4, 0, 0}, {0, 11, 14, 7, 14, 8, 12, 13, 4, 3, 0, 0}, {9, 9, 13, 13, 14, 11, 7, 0, 6, 11, 0, 0}, {7, 7, 3, 3, 2, 5, 9, 0, 10, 5, 0, 0}, {3, 8, 5, 15, 9, 5, 7, 3, 7, 12, 0, 0}, {13, 8, 11, 1, 7, 11, 9, 13, 9, 4, 0, 0}, {0, 0, 11, 10, 8, 10, 13, 3, 12, 6, 0, 0}, {0, 0, 5, 6, 8, 6, 3, 13, 4, 10, 0, 0}, {5, 4, 7, 9, 13, 2, 10, 4, 1, 0, 0, 0}, {5, 12, 14, 1, 8, 9, 2, 13, 0, 14, 0, 0}, {7, 10, 3, 10, 0, 8, 6, 15, 15, 0, 0, 0}, {11, 3, 4, 11, 1, 4, 14, 10, 13, 12, 0, 0}, {7, 4, 7, 14, 7, 11, 6, 4, 9, 9, 0, 0}, {15, 14, 15, 1, 3, 8, 0, 8, 5, 2, 0, 0}, {0, 9, 12, 3, 11, 14, 9, 6, 10, 10, 0, 0}, {12, 1, 13, 6, 15, 10, 11, 6, 9, 13, 0, 0}, {2, 13, 3, 9, 0, 5, 4, 9, 6, 3, 0, 0}, {13, 12, 10, 6, 2, 14, 4, 11, 14, 15, 0, 0}, {13, 9, 12, 6, 12, 7, 12, 13, 5, 4, 0, 0}, {2, 7, 15, 7, 13, 6, 5, 14, 14, 0, 0, 0}, {3, 10, 7, 4, 0, 12, 1, 10, 12, 14, 0, 0}, {10, 9, 4, 15, 10, 5, 10, 0, 1, 1, 0, 0}, {3, 14, 2, 7, 15, 1, 11, 8, 12, 10, 0, 0}, {14, 15, 11, 10, 7, 9, 13, 2, 13, 6, 0, 0}, {10, 7, 8, 10, 11, 14, 6, 12, 8, 5, 0, 0}, {10, 0, 6, 14, 6, 10, 6, 4, 9, 9, 0, 0}, {5, 15, 4, 13, 5, 9, 5, 3, 8, 8, 0, 0}, {5, 4, 4, 6, 8, 11, 2, 10, 5, 3, 0, 0}, {15, 15, 5, 6, 8, 6, 3, 12, 4, 9, 0, 0}, {1, 1, 11, 10, 8, 10, 13, 4, 12, 7, 0, 0}, {13, 11, 5, 6, 0, 0, 8, 14, 12, 15, 0, 0}, {7, 13, 8, 0, 7, 7, 12, 8, 8, 2, 0, 0}, {10, 12, 2, 4, 10, 10, 4, 14, 2, 15, 0, 0}, {5, 5, 9, 9, 11, 9, 5, 15, 5, 10, 0, 0}, {11, 11, 7, 7, 5, 7, 11, 1, 11, 6, 0, 0}, {5, 15, 3, 12, 5, 9, 5, 3, 8, 8, 0, 0}, {13, 4, 13, 5, 13, 5, 5, 14, 14, 0, 0, 0}, {14, 2, 9, 0, 8, 12, 8, 5, 10, 10, 0, 0}, {6, 5, 10, 12, 15, 4, 13, 5, 3, 1, 0, 0}, {15, 13, 15, 2, 4, 8, 1, 8, 5, 2, 0, 0}, {11, 14, 4, 9, 0, 3, 13, 9, 14, 13, 0, 0}, {15, 14, 15, 0, 3, 8, 15, 8, 4, 1, 0, 0}, {4, 4, 7, 10, 14, 2, 11, 4, 1, 0, 0, 0}, {8, 3, 5, 13, 3, 13, 0, 0, 7, 5, 0, 0}, {0, 4, 13, 5, 12, 5, 4, 13, 14, 0, 0, 0}, {13, 4, 10, 5, 12, 3, 0, 15, 4, 5, 0, 0}, {3, 12, 6, 11, 4, 13, 0, 1, 12, 11, 0, 0}, {5, 5, 14, 10, 3, 12, 1, 5, 5, 3, 0, 0}, {, 11, 2, 6, 13, 4, 15, 11, 11, 13, 0, 0}, {8, 7, 7, 9, 10, 13, 4, 11, 6, 3, 0, 0}, {3, 2, 5, 8, 12, 1, 9, 3, 0, 0, 0, 0}, {10, 6, 8, 0, 5, 15, 2, 1, 8, 6, 0, 0}, {2, 14, 0, 6, 11, 14, 11, 15, 10, 5, 0, 0}, {14, 2, 0, 10, 5, 2, 5, 1, 6, 11, 0, 0}, {11, 7, 11, 4, 11, 6, 11, 12, 4, 3, 0, 0}, {11, 1, 7, 1, 6, 13, 12, 3, 0, 15, 0, 0}, {15, 13, 2, 1, 2, 15, 9, 2, 6, 11, 0, 0}, {9, 11, 0, 2, 9, 10, 4, 14, 2, 0, 0, 0}, {13, 5, 9, 0, 9, 12, 8, 5, 10, 10, 0, 0}, {9, 8, 10, 13, 1, 4, 13, 6, 2, 2, 0, 0}, {2, 3, 7, 8, 10, 8, 4, 14, 4, 10, 0, 0}, {14, 13, 9, 8, 6, 8, 12, 2, 12, 6, 0, 0}, {0, 1, 5, 7, 13, 13, 6, 0, 3, 0, 0, 0}, {0, 5, 3, 8, 0, 5, 8, 5, 0, 13, 0, 0}, {1, 12, 15, 5, 13, 0, 10, 7, 11, 10, 0, 0}, {6, 3, 6, 14, 7, 11, 6, 4, 9, 9, 0, 0}, {13, 12, 0, 0, 1, 14, 8, 1, 5, 10, 0, 0}, {1, 9, 13, 4, 12, 15, 10, 7, 11, 10, 0, 0}, {15, 4, 13, 5, 12, 5, 4, 13, 14, 0, 0, 0}, {9, 12, 7, 0, 8, 1, 1, 11, 12, 14, 0, 0}, {11, 6, 8, 0, 5, 15, 2, 1, 8, 6, 0, 0}, {1, 14, 1, 10, 3, 8, 3, 2, 7, 7, 0, 0}, {13, 3, 12, 4, 12, 4, 4, 13, 14, 15, 0, 0}, {6, 12, 11, 1, 10, 0, 4, 2, 14, 12, 0, 0}, {13, 12, 15, 2, 4, 8, 1, 8, 5, 3, 0, 0}, {2, 5, 11, 14, 5, 7, 1, 12, 0, 14, 0, 0}, {1, 13, 15, 8, 14, 8, 13, 13, 4, 3, 0, 0}, {12, 3, 8, 0, 8, 12, 8, 5, 10, 10, 0, 0}, {1, 13, 9, 6, 14, 9, 12, 6, 8, 11, 0, 0}, {9, 5, 7, 15, 4, 14, 1, 1, 8, 5, 0, 0}, {13, 14, 9, 9, 7, 8, 12, 2, 12, 7, 0, 0}, {15, 12, 15, 1, 4, 8, 1, 8, 5, 3, 0, 0}, and {2, 14, 2, 10, 0, 10, 14, 14, 6, 4, 0, 0},
wherein the third sequence set comprises a sequence set 3A and a sequence set 3B, wherein when the M is 4, the sequence set 3A comprises:
{3, −3, 1, 1, −1, −3, −3, 3, −3, 1, 3, 3, −3, 3, −1, −3, 3, −1}, {3, 1, −3, −3, −1, 1, 1, 3, 1, −3, 3, 3, 1, 3, −1, 1, 3, −1}, {−1, −1, 3, −1, −1, 3, −1, −1, 3, 3, 3, 3, −1, 3, −1, 3, −1, 3}, {−1, 1, −3, 1, −1, −3, −3, 3, 3, −1, 3, 3, −3, −3, −1, 1, −3, 1}, {−1, −3, 1, −3, −1, 1, 1, 3, 3, −1, 3, 3, 1, 1, −1, −3, 1, −3}, {−3, 1, −3, −1, −1, 1, −3, −1, 3, 3, 3, 3, −1, −3, 3, 1, −3, 3}, {1, −3, 1, −1, −1, −3, 1, −1, 3, 3, 3, 3, −1, 1, 3, −3, 1, 3}, {3, −3, 1, 1, 3, −, −1, 3, 1, 3, 3, 3, 1, −3, −1, 3, 1}, {−3, 1, 1, −3, −3, 3, −1, −1, 3, −3, 3, 3, 3, −3, 1, −1, 3, −3}, {−3, 1, 3, −3, 1, 3, −1, 3, 1, 1, 3, 3, −3, 1, −1, −3, −3, 3}, {1, −3, 3, 1, −3, 3, −1, 3, −3, −3, 3, 3, 1, −3, −1, 1, 1, 3}, {1, −1, −3, 3, −1, 1, 3, −1, 3, 1, 3, 3, 3, 1, −1, −1, 1, 3}, {−3, −1, 1, 3, −1, −3, 3, −1, 3, −3, 3, 3, 3, −3, −1, −1, −3, 3}, {−1, −3, 3, 3, 1, 3, 3, −3, 1, −1, 3, 3, 1, 3, −1, 1, −3, −3}, {−, 1, 3, 3, −3, 3, 3, 1, −3, −1, 3, 3, −3, 3, −1, −3, 1, 1}, {1, 3, 3, 3, 1, 3, 3, −3, 1, −1, 3, 3, 1, 3, −, −1, −3, −3}, {−3, 3, 3, 3, −3, 3, 3, 1, −3, −1, 3, 3, −3, 3, −1, −1, 1, 1}, {3, −1, 1, −3, −1, −1, −1, −3, −1, −1, 3, 3, 1, −3, −1, −3, 3, 1}, {3, −1, −3, −1, 3, 3, 3}, {−1, 1, 3, −1, −1, 3, 3, −1, 3, 3, 3, 3, −1, 1, −1, 3, 3, 3}, {−1, −1, 3, 3, −1, −1, 3, −1, −1, 3, 3, 3, 3, −1, 3, −1, 3, −1}, {−1, 3, −3, −1, −3, 1, −1, 3, −1, 1, 3, 3, 3, 1, 1, −1, 1, 3}, {−1, 3, 1, −1, 1, −3, −1, 3, −1, −3, 3, 3, 3, −3, −3, −1, −3, 3}, {1, −3, −1, 1, 3, −1, −1, −3, 3, 1, 3, 3, 3, −3, 1, −3, 1, −3}, {−3, 1, −1, −3, 3, −1, −1, 1, 3, −3, 3, 3, 3, 1, −3, 1, −3, 1}, {3, −3, −1, 1, 3, 3, −3, 3, −1, −3, 3, 3, 1, 3, −1, 1, −3, −1}, {3, 1, −1, −3, 3, 3, 1, 3, −1, 1, 3, 3, −3, 3, −1, −3, 1, −1}, {3, −1, 3, 1, −3, 1, −3, −3, −3, −1, 3, 3, 1, −3, −3, 3, 3, −3}, {3, −1, 3, −3, 1, −3, 1, 1, 1, −1, 3, 3, −3, 1, 1, 3, 3, 1}, {−3, 1, −1, 1, −1, −3, −3, 3, −1, 3, 3, 3, −3, −1, 3, −3, −1, 1}, {1, −3, −1, −3, −1, 1, 1, 3, −1, 3, 3, 3, 1, −1, 3, 1, −1, −3}, {3, 1, −3, −3, 3, 1, 1, −3, 3, −3, 3, 3, −3, 1, 3, −1, −1, 1}, {3, −3, 1, 1, 3, −3, −3, 1, 3, 1, 3, 3, 1, −3, 3, −1, −1, −3}, {3, −1, 1, 3, 1, −1, 1, 1, 1, −1, 3, 3, −3, 1, −1, −1, 3, −3}, {3, −1, −3, 3, −3, −1, −3, −3, −3, −1, 3, 3, 1, −3, −1, −1, 3, 1}, {3, 1, 3, −1, 3, −3, 3, −1, −3, 3, 3, 3, −3, −1, 1, −3, −1, 1}, {3, −3, 3, −1, 3, 1, 3, −1, 1, 3, 3, 3, 1, −1, −3, 1, −1, −3}, {−1, −1, −1, 3, 3, −1, 3, −1, −1, 3, 3, 3, −3, 3, 3, 3, −1, −1}, {−1, −1, −1, 3, 3, −1, 3, −1, −1, 3, 3, 3, 1, 3, 3, 3, −1, −1}, {−1, 1, 3, −3, −1, 1, −3, −3, 3, −1, 3, 3, 3, 3, −3, −3, −1, 1, −3}, {−1, −3, 3, 1, −1, −3, 1, 1, 3, −1, 3, 3, 3, 3, 1, 1, −1, 1}, {1, −1, 3, 1, −3, −1, 1, 1, 3, −1, 3, 3, 1, 1, −1, 1, −1, −3}, {−3, −1, 3, −3, 1, −1, −3, −3, 3, −1, 3, 3, −3, −3, −1, −3, −1, 1}, {1, −3, −1, 1, 3, 3, −3, 3, 1, 3, 3, 1, −1, −3, 3, −3, 1}, {−3, 1, −1, −3, 3, 3, 1, 3, 1, −3, 3, 3, −3, −1, 1, 3, 1, −3}, {3, −1, 1, −3, −1, 3, −3, 3, 1, −3, 3, 3, 3, −3, −1, −1, 1, −3}, {3, 3, −1, 3, −1, 1, 3, −3, 1, 3, 3, 3, 1, −1, −1, −3, 1}, {1, −3, −3, 1, −3, 1, −3, 1, 3, 3, 3, 3, −1, −1, 3, −3, −3, 3}, {−3, 1, 1, −3, 1, −3, 1, −3, 3, 3, 3, 3, −1, −1, 3, 1, 1, 3}, {−1, −1, −1, 3, 3, −1, 3, −3, 3, −1, 3, 3, −1, −1, −1, −1, 3, 3}, {−1, −1, −1, 3, 3, −1, 3, 1, 3, −1, 3, 3, −1, −1, −1, −1, 3, 3}, {1, 3, −1, 1, 3, −1, −3, −3, 1, 1, 3, 3, 1, 3, 1, −3, 1, 3}, {−3, 3, −1, −3, 3, −1, 1, 1, −3, −3, 3, 3, −3, 3, −3, 1, −3, 3}, {1, −3, 1, −1, −1, −1, −1, 1, −1, −1, 3, 3, −3, 1, −1, 1, −3, −3}, {−3, 1, −3, −1, −1, −1, −1, −3, −1, −1, 3, 3, 1, −3, −1, −3, 1, 1}, {−3, 1, −3, 3, −1, −1, 3, −1, −3, −3, 3, 3, −3, −1, −3, −1, 1, 1}, {1, −3, 1, 3, −1, −1, 3, −1, 1, 1, 3, 3, 1, −1, 1, −1, −3, −3}, {3, 1, −1, 1, −3, −1, 3, −1, −3, 3, 3, 3, −3, −3, −1, −3, 3, 3}, {3, −3, −1, −3, 1, −1, 3, −1, 1, 3, 3, 3, 1, 1, −1, 1, 3, 3}, {−3, 3, −1, 3, −1, −1, 1, −1, −1, −1, 3, 3, −1, −3, −1, 1, −3, 3}, {1, 3, −1, 3, −1, −1, −3, −1, −1, −1, 3, 3, −1, 1, −1, −3, 1, 3}, {1, 1, −1, 1, −3, −1, 1, −1, −1, 3, 3, 3, −1, 3, 1, −3, −3, −1}, {−3, −3, −1, −3, 1, −1, −3, −1, −1, 3, 3, 3, −1, 3, −3, 1, 1, −1}, {−3, −1, 3, 1, −1, 3, 3, −1, 3, 3, 3, 3, −1, 1, −1, 3, −1, 3}, {1, −1, 3, −3, −1, 3, 3, −1, 3, 3, 3, 3, −1, −3, −1, 3, −1, 3}, {−1, 1, 3, 3, −3, 3, −1, −1, 1, −3, 3, 3, 1, 3, 3, 3, 1, 3}, {−1, −3, 3, 3, 1, 3, −1, −1, −3, 1, 3, 3, −3, 3, 3, 3, −3, 3}, {3, −1, 3, −1, −3, 1, −3, 3, 1, 1, 3, 3, 3, −1, 1, −3, 1, 3}, {3, −1, 3, −1, 1, −3, 1, 3, −3, −3, 3, 3, 3, −1, −3, 1, −3, 3}, {1, 3, −1, −1, 3, −3, −1, −3, 3, 1, 3, 3, 3, −3, 1, −3, 3, −3}, {−3, 3, −1, −1, 3, 1, −1, 1, 3, −3, 3, 3, 3, 1, −3, 1, 3, 1}, {1, 3, −3, 3, 3, 1, 3, 1, 1, −1, 3, 3, −3, 1, −3, −3, −1, 1}, {−3, 3, 1, 3, 3, −3, 3, −3, −3, −1, 3, 3, 1, −3, 1, 1, −1, −3}, {−1, 3, 3, −1, 3, 3, −1, −1, 3, 3, 3, 3, −1, 3, −1, 3, −1, −1}, {−3, 3, −3, 1, −3, −1, 3, 3, 1, 1, 3, 3, −1, −3, 1, −3, 3, −3}, {1, 3, 1, −3, 1, −1, 3, 3, −3, −3, 3, 3, −, 1, −3, 1, 3, 1}, {−3, −1, 3, 3, 1, −3, −1, −3, 3, 1, 3, 3, 3, −1, 3, 3, −3, −1}, {1, −1, 3, 3, −3, 1, −1, 1, 3, −3, 3, 3, 3, −1, 3, 3, 1, −1}, {3, 1, −1, 1, −1, −3, 3, 1, 3, −1, 3, 3, −3, −3, −3, 1, 3, 3}, {3, −3, −1, −3, −1, 1, 3, −3, 3, −1, 3, 3, 1, 1, 1, −3, 3, 3}, {−1, 3, 1, −1, −1, 3, −1, −3, −3, 1, 3, 3, −3, 3, −3, −3, −1, −3}, {−1, 3, −3, −1, −1, 3, −1, 1, 1, −3, 3, 3, 1, 3, 1, 1, −1, 1}, {−1, 1, 3, −1, −1, 3, −1, −1, 3, 3, 3, 3, −1, 3, −1, 3, −1, 1}, {−1, −3, 3, −1, −1, 3, −1, −1, 3, 3, 3, 3, −1, 3, −1, 3, −1, −3}, {−1, −3, −1, −3, −1, 1, 1, 3, 3, −1, 3, 3, 1, 1, −1, −3, 1, −3}, and {−1, 1, −1, 1, −1, −3, −3, 3, 3, −1, 3, 3, −3, −3, −1, 1, −3, 1, and
wherein when the M is 4, the sequence set 3B comprises:
{−3, −3, −3, 1, 1, −3, −3, 1, 1, −3, −3, −3, −3, −3, 1, −3, 1, −3, −3, 1, −3, 1, 1, 1}, {−3, 1, 1, 1, 1, −3, 1, −3, 1, −3, −3, −3, −3, 1, 1, −3, −3, 1, −3, −3, 1, 1, 1, 1}, {1, 1, −3, 1, −3, −3, 1, −3, 1, 1, −3, 1, 1, 1, −3, 1, 1, 1, −3, −3, −3, −3, 1, 1}, {1, −3, −3, −3, 1, 1, −3, −3, 1, 1, −3, −3, −3, −3, −3, 1, −3, 1, −3, −3, 1, −3, 1, 1}, {3, 3, −3, −3, 1, 3, 3, −3, −3, 3, −1, 3, −1, 3, 3, 1, 1, −3, −1, −1, −3, −3, 1, 1}, {−1, −1, −3, −3, 1, −1, −1, −3, −3, −1, 3, −1, 3, −1, −1, 1, 1, −3, 3, 3, −3, −3, 1, 1}, {3, 3, −1, −3, 1, 3, 1, 1, −1, 3, 3, −3, −3, 3, −3, 1, 3, 3, −1, −3, 1, 3, 1, 1}, {−1, −1, 3, −3, 1, −1, 1, 1, 3, −1, −1, −3, −3, −1, −3, 1, −1, −1, 3, −3, 1, −1, 1, 1}, {−1, 1, −1, 1, −3, −3, 1, 1, 3, 1, 3, 1, 1, −3, −3, 1, −1, 1, −1, 1, −3, −3, 1, 1}, {3, 1, 3, 1, −3, −3, 1, 1, −1, 1, −1, 1, 1, −3, −3, 1, 3, 1, 3, 1, −3, −3, 1, 1}, {1, 3, 3, −1, 1, −1, 1, 1, 1, 3, −1, 3, 1, −1, −3, −3, 1, 3, 3, −1, 1, −1, 1, 1}, {1, −1, −1, 3, 1, 3, 1, 1, 1, −1, 3, −1, 1, 3, −3, −3, 1, −1, −1, 3, 1, 3, 1, 1}, {1, 1, −1, −1, 3, 3, 1, 1, −3, −1, 3, −1, 3, 1, 3, 3, −1, −1, 1, 1, −1, −1, 1, 1}, {1, 1, 3, 3, −1, −1, 1, 1, −3, 3, −1, 3, −1, 1, −1, −1, 3, 3, 1, 1, 3, 3, 1, 1}, {−3, −3, 3, −3, −1, −3, 1, 1, 1, −3, −1, −3, 3, −3, −3, 1, −3, −3, 3, −3, −1, −3, 1, 1}, {−3, −3, −1, −3, 3, −3, 1, 1, 1, −3, 3, −3, −1, −3, −3, 1, −3, −3, −1, −3, 3, −3, 1, 1}, {3, 1, −3, −1, 3, −1, 1, 1, 3, −3, −3, 3, 3, 3, 1, −3, 3, 1, −3, −1, 3, −1, 1, 1}, {−1, 1, −3, 3, −1, 3, 1, 1, −1, −3, −3, −1, −1, −1, 1, −3, −1, 1, −3, 3, −1, 3, 1, 1}, {3, −3, −3, −1, −3, 1, −3, −1, 3, −1, 3, 3, −3, −1, −1, −3, −3, 3, 1, −3, 3, 1, 1, 1}, {−1, −3, −3, 3, −3, 1, −3, 3, −1, 3, −1, −1, −3, 3, 3, −3, −3, −1, 1, −3, −1, 1, 1, 1}, {3, −3, −1, 1, 3, −1, 1, 3, −3, 1, 1, 1, 1, −3, 1, −3, 3, 3, −1, −3, 1, 1, 1, 1}, {−1, −3, 3, 1, −1, 3, 1, −1, −3, 1, 1, 1, 1, −3, 1, −3, −1, −1, 3, −3, 1, 1, 1, 1}, {−1, −1, −3, −3, 3, 3, 3, 3, 1, 3, −3, −3, 3, −1, 1, −3, 3, −1, 3, 3, −1, −3, 1, 1}, {3, 3, −3, −3, −1, −1, −1, −1, 1, −1, −3, −3, −1, 3, 1, −3, −1, 3, −1, −1, 3, −3, 1, 1}, {1, 3, 3, −1, 3, −3, −1, −3, −1, 3, −1, −3, 1, 1, 3, 3, 1, 1, −1, −1, 3, 3, 1, 1}, {1, −1, −1, 3, −1, −3, 3, −3, 3, −1, 3, −3, 1, 1, −1, −1, 1, 1, 3, 3, −1, −1, 1, 1}, {−1, 3, −3, −3, 1, −3, 3, −3, −3, 1, −3, −3, 3, −1, −1, −1, 3, −3, 3, 3, 3, −1, 1, 1}, {3, −1, −3, −3, 1, −3, −1, −3, −3, 1, −3, −3, −1, 3, 3, 3, −1, −3, −1, −1, −1, 3, 1, 1}, {−1, 3, 3, −3, −1, −3, 1, 1, −1, −1, −1, −3, −1, 1, −3, 1, −1, 3, 3, −3, −1, −3, 1, 1}, {3, −1, −1, −3, 3, −3, 1, 1, 3, 3, 3, −3, 3, 1, −3, 1, 3, −1, −1, −3, 3, −3, 1, 1}, {−3, 1, −1, 3, 1, 1, 1, 1, −3, 1, 3, −1, 1, 1, −3, −3, −3, 1, −1, 3, 1, 1, 1, 1}, {−3, 1, 3, −1, 1, 1, 1, 1, −3, 1, −1, 3, 1, 1, −3, −3, −3, 1, 3, −1, 1, 1, 1, 1}, {1, −3, −1, 3, −3, 3, −3, 1, 3, −1, 1, 1, 3, 1, −3, 3, 1, 1, −3, −3, −3, 3, 1, 1}, {1, −3, 3, −1, −3, −1, −3, 1, −1, 3, 1, 1, −1, 1, −3, −1, 1, 1, −3, −3, −3, −1, 1, 1}, {−3, 1, −1, 3, −3, −3, 1, 1, −3, 1, 3, −1, −3, −3, −3, −3, −3, 1, −1, 3, −3, −3, 1, 1}, {−3, 1, 3, −1, −3, −3, 1, 1, −3, 1, −1, 3, −3, −3, −3, −3, −3, 1, 3, −1, −3, −3, 1, 1}, {1, 3, −3, 1, −3, −1, 3, −3, 1, 1, 3, 3, 1, −3, 3, −1, 1, −1, −3, −3, −3, 1, 1, 1}, {1, −1, −3, 1, −3, 3, −1, −3, 1, 1, −1, −1, 1, −3, −1, 3, 1, 3, −3, −3, −3, 1, 1, 1}, {−1, 1, −1, −1, 3, −1, 3, −3, −3, −1, −3, 1, 1, −3, 1, 1, 1, −1, −1, 3, 3, −1, 1, 1}, {3, 1, 3, 3, −1, 3, −1, −3, −3, 3, −3, 1, 1, −3, 1, 1, 1, 3, 3, −1, −1, 3, 1, 1}, {1, −1, −3, −1, 3, −1, 3, 1, −1, 1, −3, 1, 1, −1, 1, 1, 3, −3, −1, −3, −3, −3, 1, 1}, {1, 3, −3, 3, −1, 3, −1, 1, 3, 1, −3, 1, 1, 3, 1, 1, −1, −3, 3, −3, −3, −3, 1, 1}, (−3, −1, −1, 3, −3, 1, 1, 3, −3, 1, 1, 1, 3, 3, 1, −3, 1, −1, −3, −3, 3, 3, 1, 1}, {−3, 3, 3, −1, −3, 1, 1, −1, −3, 1, 1, 1, −1, −1, 1, −3, 1, 3, −3, −3, −1, −1, 1, 1}, {3, −1, −3, −3, 1, 1, −1, 3, −3, 1, −3, −3, −3, 3, −3, 3, 1, −3, −3, −1, −3, 1, 1, 1}, {−1, 3, −3, −3, 1, 1, 3, −1, −3, 1, −3, −3, −3, −1, −3, −1, 1, −3, −3, 3, −3, 1, 1, 1}, {−3, −1, 3, 3, 1, 1, −1, 3, −3, 1, −3, −3, −3, 3, −3, −3, 1, −1, 3, 3, −3, −3, 1, 1}, {−3, 3, −1, −1, 1, 1, 3, −1, −3, 1, −3, −3, −3, −1, −3, −3, 1, 3, −1, −1, −3, −3, 1, 1}, {1, −3, 1, 1, −3, 1, 1, 3, 1, −1, 1, −3, −3, −3, 1, −1, 1, 3, 1, 1, −3, 1, 1, 1}, {1, −3, 1, 1, −3, 1, 1, −1, 1, 3, 1, −3, −3, −3, 1, 3, 1, −1, 1, 1, −3, 1, 1, 1}, {1, −3, −3, −3, 1, 1, −3, −3, −3, 1, −3, −3, −3, −3, 1, −3, 1, 1, −3, −3, 1, −3, 1, 1}, {−1, −1, −1, −3, −1, −3, 3, −3, 3, 3, 3, −1, −3, 1, 3, −3, 3, −3, −1, −1, −3, −3, 1, 1}, {3, 3, 3, −3, 3, −3, −1, −3, −1, −1, −1, 3, −3, 1, −1, −3, −1, −3, 3, 3, −3, −3, 1, 1}, {−3, −3, −3, 1, −3, 1, 1, −3, 1, −3, 1, 1, 1, 1, 1, −3, −3, 1, 1, −3, −3, 1, 1, 1}, {−1, −3, −3, 3, −1, −1, 1, 1, −1, 1, −3, −1, −1, 3, 1, −3, −1, −3, −3, 3, −1, −1, 1, 1}, {3, −3, −3, −1, 3, 3, 1, 1, 3, 1, −3, 3, 3, −1, 1, −3, 3, −3, −3, −1, 3, 3, 1, 1}, {−1, 3, −3, 3, 3, 1, 1, 1, 1, −1, −3, 1, −1, 1, 1, 3, −3, 1, 3, −1, −3, −3, 1, 1}, {3, −1, −3, −1, −1, 1, 1, 1, 1, 3, −3, 1, 3, 1, 1, −1, −3, 1, −1, 3, −3, −3, 1, 1}, {1, 1, −3, 1, −3, −3, −3, −3, 1, −3, 1, 1, 1, −3, 1, 1, 1, 1, −3, −3, 1, 1, 1, 1}, {−1, 3, 3, −3, 3, 3, −3, −1, 3, −1, −1, 3, −1, −3, −1, 3, 3, 3, −1, −1, −1, 3, 1, 1}, {3, −1, −1, −3, −1, −1, −3, 3, −1, 3, 3, −1, 3, −3, 3, −1, −1, −1, 3, 3, 3, −1, 1, 1}, {3, −1, 1, −3, −1, −1, 1, −3, −1, 1, −1, −3, 1, −1, 1, −3, −3, −3, −3, 1, 1, 1, 1, 1}, {−1, 3, 1, −3, 3, 3, 1, −3, 3, 1, 3, −3, 1, 3, 1, −3, −3, −3, −3, 1, 1, 1, 1, 1}, {1, −1, 1, −3, −3, 1, −3, 1, −3, 1, −3, −3, 1, 1, −3, −3, −3, −3, −3, −3, −3, −1, 1, 1}, {1, 3, 1, −3, −3, 1, −3, 1, −3, 1, −3, −3, 1, 1, −3, −3, −3, −3, −3, −3, −3, 3, 1, 1}, {−1, −1, 1, 1, 1, −3, 3, 3, −1, −1, −1, 1, −3, −1, 1, −1, −3, 1, −3, 3, 1, 3, 1, 1}, {3, 3, 1, 1, 1, −3, −1, −1, 3, 3, 3, 1, −3, 3, 1, 3, −3, 1, −3, −1, 1, −1, 1, 1}, {1, −3, 1, 3, −1, −1, 3, 3, 3, −1, 1, 1, −3, 3, 3, −3, 3, −3, 3, −1, 1, −3, 1, 1}, {1, −3, 1, −1, 3, 3, −1, −1, −1, 3, 1, 1, −3, −1, −1, −3, −1, −3, −1, 3, 1, −3, 1, 1}, {3, −1, −1, −1, 1, −1, −1, −3, −1, 3, 3, 1, −3, −3, −1, 3, −1, −3, 1, 3, −3, −3, 1, 1}, {−1, 3, 3, 3, 1, 3, 3, −3, 3, −1, −1, 1, −3, −3, 3, −1, 3, −3, 1, −1, −3, −3, 1, 1}, {1, 3, −3, −3, 3, −3, −3, −3, 1, −3, −3, 3, −1, 3, 3, −3, 1, −1, −1, −1, 3, 3, 1, 1}, {1, −1, −3, −3, −1, −3, −3, −3, 1, −3, −3, −1, 3, −1, −1, −3, 1, 3, 3, 3, −1, −1, 1, 1}, {−3, 1, −3, −3, 3, −3, 3, −1, −1, −1, −1, −3, 1, 3, −1, −3, 3, −1, 1, 3, 3, −1, 1, 1}, {−3, 1, −3, −3, −1, −3, −1, 3, 3, 3, 3, −3, 1, −1, 3, −3, −1, 3, 1, −1, −1, 3, 1, 1}, {3, 1, 3, −1, 3, −3, −1, −1, −1, 1, 3, −3, 3, 1, 3, 1, −1, 3, 3, 1, 1, 3, 1, 1}, {−1, 1, −1, 3, −1, −3, 3, 3, 3, 1, −1, −3, −1, 1, −1, 1, 3, −1, −1, 1, 1, −1, 1, 1}, {1, 1, −1, −1, 3, 3, −1, 1, 3, −3, 3, 1, 1, 3, 1, −3, −1, −3, 1, −1, 1, 1, 1, 1}, {1, 1, 3, 3, −1, −1, 3, 1, −1, −3, −1, 1, 1, −1, 1, −3, 3, −3, 1, 3, 1, 1, 1, 1}, {1, −3, 1, −3, 1, 1, −3, 1, 1, 1, −3, 1, 1, 1, 1, −3, −3, −3, −3, 1, 1, −3, 1, 1}, {−1, 3, 1, −1, 1, 3, 1, 1, −1, 3, 1, −3, −1, 3, 3, 3, 3, −1, −3, −1, 1, 3, 1, 1}, {3, −1, 1, 3, 1, −1, 1, 1, 3, −1, 1, −3, 3, −1, −1, −1, −1, 3, −3, 3, 1, −1, 1, 1}, {−3, −1, −3, 1, −3, 3, −1, 1, 3, −1, 1, 1, 1, 3, 3, 1, −1, −1, −3, 1, −3, 3, 1, 1}, {−3, 3, −3, 1, −3, −1, 3, 1, −1, 3, 1, 1, 1, −1, −1, 1, 3, 3, −3, 1, −3, −1, 1, 1}, {1, −3, −3, 1, −1, −1, 1, 1, −3, 1, −3, 1, 3, 3, 1, 1, 1, −3, −3, 1, −1, −1, 1, 1}, {1, −3, −3, 1, 3, 3, 1, 1, −3, 1, −3, 1, −1, −1, 1, 1, 1, −3, −3, 1, 3, 3, 1, 1}, {3, −1, −1, −3, −3, −3, 1, 1, 3, −1, 1, 3, −1, −3, −1, −1, −1, 3, 1, −1, −1, −1, 1, 1}, {−1, 3, 3, −3, −3, −3, 1, 1, −1, 3, 1, −1, 3, −3, 3, 3, 3, −1, 1, 3, 3, 3, 1, 1}, {−1, 1, −3, 1, −1, −3, 1, −3, −3, 1, −1, −1, −3, −3, −1, −1, 1, −3, 1, 3, 3, −3, 1, 1}, {3, 1, −3, 1, 3, −3, 1, −3, −3, 1, 3, 3, −3, −3, 3, 3, 1, −3, 1, −1, −1, −3, 1, 1}, (3, 3, 1, −3, −1, −3, 1, −1, 1, −1, 3, −3, −3, 1, 1, −3, 1, 1, −1, 1, 1, 1, 1, 1}, {−1, −1, 1, −3, 3, −3, 1, 3, 1, 3, −1, −3, −3, 1, 1, −3, 1, 1, 3, 1, 1, 1, 1, 1}, {−1, 1, 3, 1, 3, −3, −1, 3, −1, −1, −1, 1, 3, −1, −3, 1, −1, −1, −3, −3, −3, 3, 1, 1}, {3, 1, −1, 1, −1, −3, 3, −1, 3, 3, 3, 1, −1, 3, −3, 1, 3, 3, −3, −3, −3, −1, 1, 1}, {1, −1, −3, −3, 1, −1, 3, 3, 1, −1, −3, −1, −3, 1, 3, −3, 1, 3, 3, 3, 3, −3, 1, 1}, {1, 3, −3, −3, 1, 3, −1, −1, 1, 3, −3, 3, −3, 1, −1, −3, 1, −1, −1, −1, −1, −3, 1, 1}, {3, −1, −3, −3, −3, 3, −3, 3, 3, 3, 1, −3, 1, −3, −3, 3, −1, −1, 1, 3, −3, −1, 1, 1}, {−1, 3, −3, −3, −3, −1, −3, −1, −1, −1, 1, −3, 1, −3, −3, −1, 3, 3, 1, −1, −3, 3, 1, 1}, {3, −3, −3, 1, −3, 1, 1, −3, 1, −1, 3, −3, −3, −3, 3, −1, −1, −3, 3, 3, −3, −1, 1, 1}, {−1, −3, −3, 1, −3, 1, 1, −3, 1, 3, −1, −3, −3, −3, −1, 3, 3, −3, −1, −1, −3, 3, 1, 1}, {1, 3, 3, 1, −3, 3, 1, 3, 3, 3, −3, −3, 1, 3, 1, −1, −1, 3, −3, 1, −3, 3, 1, 1}, {1, −1, −1, 1, −3, −1, 1, −1, −1, −1, −3, −3, 1, −1, 1, 3, 3, −1, −3, 1, −3, −1, 1, 1}, {−3, −3, −1, 3, −3, −1, −1, 3, −3, −1, 3, 1, −1, −3, −1, 3, 1, 3, 3, 3, 1, 1, 1, 1}, {−3, −3, 3, −1, −3, 3, 3, −1, −3, 3, −1, 1, 3, −3, 3, −1, 1, −1, −1, −1, 1, 1, 1, 1}, {3, 3, 3, −1, 1, 3, 3, 3, 3, 1, −3, −1, −3, 1, −3, −3, 1, 3, 3, 1, −3, −3, 1, 1}, {−1, −1, −1, 3, 1, −1, −1, −1, −1, 1, −3, 3, −3, 1, −3, −3, 1, −1, −1, 1, −3, −3, 1, 1}, {−3, −3, −1, 3, −3, −1, 1, −3, −1, 3, −1, −3, 1, 1, 3, 3, 3, 1, 1, −1, −3, 3, 1, 1}, {−3, −3, 3, −1, −3, 3, 1, −3, 3, −1, 3, −3, 1, 1, −1, −1, −1, 1, 1, 3, −3, −1, 1, 1}, {3, 1, 1, 1, −1, 1, 1, −1, −3, 1, 1, 3, −1, 1, −1, 3, 3, 3, −3, −1, −3, −1, 1, 1}, {−1, 1, 1, 1, 3, 1, 1, 3, −3, 1, 1, −1, 3, 1, 3, −1, −1, −1, −3, 3, −3, 3, 1, 1}, {1, 1, 1, −1, −1, 1, −1, −3, −3, 1, −3, 3, −1, 1, −3, −3, 3, −3, −1, −1, −1, 1, 1, 1}, {1, 1, 1, 3, 3, 1, 3, −3, −3, 1, −3, −1, 3, 1, −3, −3, −1, −3, 3, 3, 3, 1, 1, 1}, {1, 1, 3, 1, 1, −1, 1, −1, 1, −1, 3, −1, 1, 3, −3, 3, 1, −1, −3, −3, −3, −3, 1, 1}, {1, 1, −1, 1, 1, 3, 1, 3, 1, 3, −1, 3, 1, −1, −3, −1, 1, 3, −3, −3, −3, −3, 1, 1}, {1, 3, −3, −3, 3, −3, −1, 3, 3, 1, 3, −3, 3, −1, 1, −1, −3, −1, −1, 3, 1, −1, 1, 1}, {1, −1, −3, −3, −1, −3, 3, −1, −1, 1, −1, −3, −1, 3, 1, 3, −3, 3, 3, −1, 1, 3, 1, 1}, {−1, −1, 3, −1, −1, −3, 1, 3, −3, −1, 3, 1, −3, 1, 1, 1, 1, 1, −3, −3, 3, 1, 1, 1}, {3, 3, −1, 3, 3, −3, 1, −1, −3, 3, −1, 1, −3, 1, 1, 1, 1, 1, −3, −3, −1, 1, 1, 1}, {3, −3, −1, 1, −1, 3, 1, 1, 3, 1, 3, 1, −1, −1, −3, 1, 3, −3, −1, 1, −1, 3, 1, 1}, {−1, −3, 3, 1, 3, −1, 1, 1, −1, 1, −1, 1, 3, 3, −3, 1, −1, −3, 3, 1, 3, −1, 1, 1}, {3, −1, 3, −1, −3, 1, −3, −3, −1, 1, −1, 1, 3, −1, −3, 3, 3, 3, 1, 1, 3, 3, 1, 1}, {−1, 3, −1, 3, −3, 1, −3, −3, 3, 1, 3, 1, −1, 3, −3, −1, −1, −1, 1, 1, −1, −1, 1, 1}, {−3, 3, −1, 3, 3, −1, −3, 3, −1, 1, 3, 1, 1, −1, 3, −3, 3, 1, 3, 3, −3, 1, 1, 1}, {−3, −1, 3, −1, −1, 3, −3, −1, 3, 1, −1, 1, 1, 3, −1, −3, −1, 1, −1, −1, −3, 1, 1, 1}, {3, −1, 3, −1, −3, 1, −1, −3, 1, −3, −1, 3, −3, −3, −1, −1, −1, −3, 3, 3, 1, 1, 1, 1}, {−1, 3, −1, 3, −3, 1, 3, −3, 1, −3, 3, −1, −3, −3, 3, 3, 3, −3, −1, −1, 1, 1, 1, 1}, {−1, −3, −1, 3, −1, −1, 3, 1, 3, −1, 3, 1, −1, 1, 3, −3, 3, 1, 1, 1, −1, −1, 1, 1}, {3, −3, 3, −1, 3, 3, −1, 1, −1, 3, −1, 1, 3, 1, −1, −3, −1, 1, 1, 1, 3, 3, 1, 1}, {1, −1, −3, 3, 3, −3, 3, −3, 3, 3, 1, −3, −3, −1, −3, 1, 3, 3, −1, 1, 3, −3, 1, 1}, {1, 3, −3, −1, −1, −3, −1, −3, −1, −1, 1, −3, −3, 3, −3, 1, −1, −1, 3, 1, −1, −3, 1, 1}, {1, −3, 1, 3, −3, −1, 1, 1, 1, 1, 1, −1, −3, 3, 1, −3, 1, −3, 1, 3, −3, −1, 1, 1}, {1, −3, 1, −1, −3, 3, 1, 1, 1, 1, 1, 3, −3, −1, 1, −3, 1, −3, 1, −1, −3, 3, 1, 1}, {1, 3, −1, −3, −1, 1, 3, −1, 3, −1, 3, −3, −3, 1, 1, −1, 1, 1, −1, −1, 1, 1, 1, 1}, {1, −1, 3, −3, 3, 1, −1, 3, −1, 3, −1, −3, −3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1}, {1, 3, −3, −1, −1, 3, 1, 1, −3, 3, −3, 3, 3, 3, 1, −3, 1, 3, −3, −1, −1, 3, 1, 1}, {1, −1, −3, 3, 3, −1, 1, 1, −3, −1, −3, −1, −1, −1, 1, −3, 1, −1, −3, 3, 3, −1, 1, 1}, {3, −1, −3, 1, −1, −3, 1, 3, −1, 1, 3, 3, −3, 3, −1, −3, −3, 3, 3, 3, 3, −3, 1, 1}, {−1, 3, −3, 1, 3, −3, 1, −1, 3, 1, −1, −1, −3, −1, 3, −3, −3, −1, −1, −1, −1, −3, 1, 1}, {−3, −3, 1, 3, 1, −1, 1, −3, −3, −3, 1, −1, 1, 3, 1, 1, −3, 1, 1, 3, 1, −1, 1, 1}, {−3, −3, 1, −1, 1, 3, 1, −3, −3, −3, 1, 3, 1, −1, 1, 1, −3, 1, 1, −1, 1, 3, 1, 1}, {−1, 1, 3, 3, 1, −3, 3, −3, 3, −1, −1, 1, 3, 1, 1, −1, 1, −1, −1, 3, 3, −3, 1, 1}, {3, 1, −1, −1, 1, −3, −1, −3, −1, 3, 3, 1, −1, 1, 1, 3, 1, 3, 3, −1, −1, −3, 1, 1}, {−3, 1, 1, 3, 3, 1, −3, −3, 1, 3, −1, 3, 3, 3, −3, −1, −3, 3, −3, 3, 1, 1, 1, 1}, {−3, 1, 1, −1, −1, 1, −3, −3, 1, −1, 3, −1, −1, −1, −3, 3, −3, −1, −3, −1, 1, 1, 1, 1}, {1, 3, 3, −1, 1, −1, −3, 3, 1, 3, −1, −3, 1, 3, −3, 3, 3, −3, 3, −3, −1, −1, 1, 1}, {1, −1, −1, 3, 1, 3, −3, −1, 1, −1, 3, −3, 1, −1, −3, −1, −1, −3, −1, −3, 3, 3, 1, 1}, {−3, −3, −3, −3, 1, 1, −1, 1, −3, 1, 3, 1, −1, −3, −1, −1, 1, −3, −3, 1, 1, −3, 1, 1}, {−3, −3, −3, −3, 1, 1, 3, 1, −3, 1, −1, 1, 3, −3, 3, 3, 1, −3, −3, 1, 1, −3, 1, 1}, {−1, 3, 1, 1, −1, 3, 3, 1, 3, −3, −3, −1, 1, −3, 1, −1, −3, −1, −3, −3, 3, 3, 1, 1}, {3, −1, 1, 1, 3, −1, −1, 1, −1, −3, −3, 3, 1, −3, 1, 3, −3, 3, −3, −3, −1, −1, 1, 1}, {3, −3, −1, 3, 3, 3, −1, −1, −3, 1, 3, 1, −3, −1, −1, −3, −1, −1, −3, 1, 1, −3, 1, 1}, {−1, −3, 3, −1, −1, −1, 3, 3, −3, 1, −1, 1, −3, 3, 3, −3, 3, 3, −3, 1, 1, −3, 1, 1}, {−1, 1, 1, −1, −3, −3, 1, 1, 3, 1, 1, 3, 1, −3, 1, −3, −1, 1, 1, −1, −3, −3, 1, 1}, {3, 1, 1, 3, −3, −3, 1, 1, −1, 1, 1, −1, 1, −3, 1, −3, 3, 1, 1, 3, −3, −3, 1, 1}, {3, 1, −3, 3, 1, 1, −3, −3, −1, 1, −1, −3, 1, 3, −1, 1, −1, −1, −3, −1, −1, 1, 1, 1}, {−1, 1, −3, −1, 1, 1, −3, −3, 3, 1, 3, −3, 1, −1, 3, 1, 3, 3, −3, 3, 3, 1, 1, 1}, {1, −3, −3, 1, 3, 3, 1, 3, 1, 1, −3, 1, 1, −3, −3, −3, 1, −1, 1, −1, −3, −1, 1, 1}, {1, −3, −3, 1, −1, −1, 1, −1, 1, 1, −3, 1, 1, −3, −3, −3, 1, 3, 1, 3, −3, 3, 1, 1}, {3, −3, −1, 3, −1, −3, 1, 1, 3, −3, 3, −1, −1, −3, −3, −3, 3, −3, −1, 3, −1, −3, 1, 1}, {−1, −3, 3, −1, 3, −3, 1, 1, −1, −3, −1, 3, 3, −3, −3, −3, −1, −3, 3, −1, 3, −3, 1, 1}, {−3, 1, −3, −1, −1, 3, −1, −1, −1, −3, −1, −1, 1, −3, 3, 3, −1, 3, −1, −1, −3, 3, 1, 1}, {−3, 1, −3, 3, 3, −1, 3, 3, 3, −3, 3, 3, 1, −3, −1, −1, 3, −1, 3, 3, −3, −1, 1, 1}, {−3, 3, −3, −1, 3, −1, 3, 1, 1, −3, 1, −3, −3, −1, 1, −1, −3, −1, −1, −1, −3, 3, 1, 1}, {−3, −1, −3, 3, −1, 3, −1, 1, 1, −3, 1, −3, −3, 3, 1, 3, −3, 3, 3, 3, −3, −1, 1, 1}, {−1, −3, −3, −1, −1, 3, 1, 1, −1, 1, −3, 3, −1, −1, 1, −3, −1, −3, −3, −1, −1, 3, 1, 1}, {3, −3, −3, 3, 3, −1, 1, 1, 3, 1, −3, −1, 3, 3, 1, −3, 3, −3, −3, 3, 3, −1, 1, 1}, {3, −1, −1, −3, −3, −3, 1, 3, −1, 1, −3, −3, −3, −1, −1, −3, 3, −1, −3, 1, 3, 3, 1, 1}, {−1, 3, 3, −3, −3, −3, 1, −1, 3, 1, −3, −3, −3, 3, 3, −3, −1, 3, −3, 1, −1, −1, 1, 1}, {3, −1, −1, 1, 1, 3, 1, 1, −1, −1, 3, 1, −3, 3, −3, 1, 3, −1, −1, 1, 1, 3, 1, 1}, {−1, 3, 3, 1, 1, −1, 1, 1, 3, 3, −1, 1, −3, −1, −3, 1, −1, 3, 3, 1, 1, −1, 1, 1}, {1, 3, 1, 1, 3, −1, 3, 3, 1, −3, 1, −3, −1, −1, −3, −3, 1, 1, 3, 3, −3, −1, 1, 1}, and {1, −1, 1, 1, −1, 3, −1, −1, 1, −3, 1, −3, 3, 3, −3,−3, 1, 1,−1,−1,−3, 3, 1, 1};
and
sending a first signal generated based on the sequence {fn}, wherein the sequence {fn} is mapped to N subcarriers.

10 more elements

Signal processing method, signal processing apparatus, computer readable storage medium, and computer program product

Life of this patent

Signal processing method, signal processing apparatus, computer readable storage medium, and computer program product

Life of this patent

Abstract

Claims20