Some properties of Hadamard matrices generated recursively by Kronecker products

AbstractA natural Hadamard matrix Hn is a 2n × 2n matrix defined recursively as Hn+1=111-1⊗ Hn, where ⊗ denotes the Kronecker product. Some properties of such matrices which follow from the above definition are shown in this paper. These include a certain relation between defined reduction and expansion properties, parity considerations in the Hadamard domain and some dyadic properties