Patent ID: 8213523

Claim:
A block transmission wireless communication system, comprising: a preamble including at least one repetition of a two-part training sequence, said preamble generated without components selected from the group consisting of a cyclic prefix, a zero prefix, and a zero post-fix, wherein the two-part training sequence comprises: a first part having a hierarchical pseudo-circularly symmetric sequence structure; and a second part having full circularly symmetric training sequence structure; a transmitter that transmits said preamble and the two-part training sequence included therein at the beginning of each of a block time-domain and a block frequency-domain; and a receiver that responds to the training sequence for performing time synchronization (SYNC), frequency offset estimation (FOE), AGC gain setting, timing error estimation, and channel estimation (CE), wherein the block transmission in the wireless communication system comprises packet-based OFDM transmission, wherein the two-part training sequence is generated as a sequence of a plurality of primitive sequences that exhibit circular orthogonality and that are defined as: A ⁡ ( n = p + N * q ) = ⅇ j ⁡ ( 2 ⁢ π ⁢ ⁢ m N ⁢ pq + α ) , ⁢ p = 1 , … ⁢ ⁢ N , ⁢ q = 1 , … ⁢ ⁢ N , where A(n) is a coefficient of a primitive sequence, m is prime to N, j=√{square root over (−1 )}, α a is a phase offset factor, and N is an integer which results in a sequence of length N 2 , wherein the length N 2 includes 4, 9, 16, 25, and 36.