Square Complex Orthogonal Designs with Low PAPR and Signaling Complexity.pdf

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS , VOL. XX, NO. XX, XXXX 1 Square Complex Orthogonal Designs with Low PAPR and Signaling Complexity Smarajit Das, Student Member, IEEE and B. Sundar Rajan, Senior Member, IEEE Abstract—Space-Time Block Codes from square complex or- Amicable orthogonal designs have been studied by several thogonal designs (SCOD) have been extensively studied and most authors [10], [11] to construct complex orthogonal designs. of the existing SCODs contain large number of zero. The zeros The book by Geramita and Seberry [11] gives a nice intro- in the designs result in high peak-to-average power ratio (PAPR) 8 and also impose a severe constraint on hardware implementation duction to this topic. 0 of the code when turning off some of the transmitting antennas In the following, we define square complex orthogonal de- 0 whenever a zero is transmitted. Recently, rate 1 SCODs with sign which we use frequently in the rest of the paper. A Square 2 2 no zero entry have been reported for 8 transmit antennas. In Complex Orthogonal Design (SCOD) G(x , x , ..., x ) (in 1 2 k l this paper, SCODs with no zero entry for 2a transmit antennas short G) of size n is an n × n matrix such that: u whenever a + 1 is a power of 2, are constructed which includes J • the entries of G(x , x ,