The free metaplectic transformation (FMT) is a multidimensional integral transform that encompasses a broader range of integral transforms. from the classical Fourier to the more recent linear canonical transforms. The aim of this study is to introduce a novel shearlet transform by employing the free metaplectic convolution structures. Besides obtaining the orthogonality relation. https://parisnaturalfoodes.shop/product-category/d3k2/