This document describes the simulation and analysis of a rectangular microstrip patch antenna loaded with a proposed composite metamaterial structure. The metamaterial structure is placed at a height of 3.2mm above the ground plane of the antenna. Simulation results show that the proposed design improves the antenna's performance over a simple rectangular microstrip patch antenna. Specifically, the impedance bandwidth increases to 20.4MHz from 8.2MHz, and the return loss improves to -25dB from -10.3dB. The directivity also remains nearly unchanged at 6.856dBi. The Nicolson-Ross-Weir approach is used to extract the effective permeability and permittivity from S-parameters, validating the double-negative properties