Mates of Cross Z-Complementary Pairs for Channel Estimation in Generalized SM-MIMO System

This paper presents a new construction method for binary cross Z-complementary pairs (CZCPs) with mutually orthogonal mates. Our approach, which utilizes Boolean functions, achieves a cross Z-complementary ratio (CZC<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ratio</inf>) of 6/7. These CZCP mates can be used in generalized spatial modulation (SM) systems to enhance the channel estimation performance, thanks to their zero auto- and cross-correlation zone properties at the front-/tail-ends. We show that our method demonstrates the ability to generate new binary CZCP mates with improved CZC<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ratio</inf> and flexible sequence lengths. Through numerical studies, we illustrate that the constructed mutually orthogonal CZCP mates can enhance the channel estimation performance in generalized SM systems.