The aim of this paper is to demonstrate that extraction techniques can be efficiently combined with coupling matrix synthesis techniques. An extension of a recently presented method based on a functional decomposition of the scattering matrix is introduced in order to add dangling resonators based on non resonating nodes among possible buildings blocks. This leads to a complete analytical procedure for hybrid realisations including classical N-tuplets, frequency depending couplings, constant phase shifts and NRNs. After detailing some elementary concepts of functional extraction techniques for NRN's, a synthesis and design example is presented to illustrate the approach.