In fact, models (17) and (19) for the transmitted and received signal tensors, respectively, differ only in their first-mode matrix factors, which are related by (20).
In[94], a 'uni‐mode' uniqueness condition is derived for a PARAFAC model with linearly dependent (proportional/identical) columns in one matrix factor.
We mention here that the generated mode matrix contains only angular modes.
where U is N × p m matrix frequently called steering or mode matrix [28].
In multipath propagation scenario, linear dependency factors usually occur in one or/and two mode matrices of the data model, where PARAFAC analysis will fail to provide meaningful results.
Indeed, the parameters of Tucker models can be only estimated up to non‐singular transformations characterized by non‐singular matrices T(n) that act on the mode‐n matrix factors A(n) and can be cancelled in replacing the core tensor by G × n = 1 N T ( n ) - 1.
Definition 3.3 (mode- matrix product).
The mode- matrix product defines multiplication of a tensor with a matrix in mode.
A tensor can be transformed into a n-mode matrix.
This matrix-bound mode of growth factor presentation is closer to physiological conditions because most growth factors in the ECM are bound to proteins and glycosaminoglycans.
