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In this paper, the authors will discuss different design of a multiband compact antenna for the integration into the new multi function mobile phones. The antenna is matched to operate at GSM 920 MHz, WI-Fi 2.4 Ghz and HiperLan 5.1 GHz standards with low SAR levels. Return loss coefficient and radiation pattern of this antenna are computed in free space as well as in the presence of head. The specific absorption rate (SAR) of the planar antenna is calculated and compared with that of the monopole antenna. To examine the performance of this antenna, a prototype was designed, fabricated and measured; the simulation analysis was performed using the HFSS software, good agreement with the simulation providing validation of the design procedure.