Reduction of OHMIC losses in monolithic chip inductors and transformers of radio frequency integrated circuits

A system of an inductor of a radio frequency integrated circuit comprising:

• a monolithic inductor comprising a plurality of inductor windings, wherein the plurality of inductor windings comprises at least one first winding and at least one second winding, wherein the at least one first winding comprises a number of N strands that are split from one another and spaced apart within the first winding, wherein N comprises an integer equal to, or greater than, three;
• a plurality of twisting components as twistings, at different locations along the at least one first winding, configured to span across the a number of N strands of the at least one first inner winding at the different locations;
• wherein the plurality of twisting components are configured to cross-couple an inner-most strand of the number of N strands with an outer-most strand of the number of N strands at the different locations along the at least one first winding, wherein the different locations comprise symmetrical, or asymmetrical positions, with respect to one another along a radial path of the at least one first winding based on an angular field gradient at the at least one second winding.

An apparatus of a monolithic inductor of a radio frequency integrated circuit comprising:

• a winding comprising a at least three strands split and spaced apart from one another within a winding path comprising a winding width, wherein the winding path extends radially as an angular path at least three hundred and sixty degrees around a center point, wherein the at least three strands are configured to increase an effective cross-section area of the winding available for conduction of radio frequency (RF) currents in response to the radio frequency integrated circuit operating within a Gigahertz frequency range;
• a plurality of twistings located at different locations along the winding located at different locations along the winding, configured to couple to the winding at the different locations, and span across the at least three strands of the winding at the different locations;
• wherein a twisting of the plurality of twistings comprises a path that twists an inner-most strand of the at least three strands to a position of an outer-most strand of the at least three strands along the winding, or the outer-most strand to a position of the inner-most strand.