Tensor decompositions with block-Toeplitz structure and applications in signal processing

Tensor decompositions with Toeplitz or block-Toeplitz structure are common in signal processing. For instance, they show up in blind system identification and deconvolution. We illustrate that by simultaneously taking the tensor nature and the block-Toeplitz structure of the problem into account new uniqueness results and numerical methods for computing a tensor decomposition with block-Toeplitz structure can be obtained.