This doctoral thesis deals with FPGA implementation issues of CRABOT (complex rotation-angle-based, further named also as “angular”) transforms. To avoid bulky designation, these transforms are named as “phi-transforms” .As Māris Tērauds stated in his doctoral thesis, “angles as parameters are not a novelty – they are used in Givens rotation, in SVD, and EVD algorithms.” The mentioned thesis deals with real angular transforms (RABOT and its subclasses). Lately, as evidenced by the growing research in complex wavelets, research on complex angular transforms is also becoming more active. Over the past few decades, complex rotations (Jacobi rotations) have been hugely used in SVD and QR-algorithms (in eigenvalue calculations). With the rapid growth of complexity and performance of ASIC and FPGA circuits in the past decade, it has become more feasible to implement these algorithms into chips.