The presence of dc offset and harmonics/interharmonics in grid voltage input signal of phaselocked loop (PLL) results in inaccurate controller response. The inaccuracies are due to the low and high frequency oscillations that appear in the PLL estimated phase, amplitude and frequency. The importance of DC offset and harmonic/interharmonic rejection capability for PLLs can be appreciated by international standards that impose strict limitations for grid-tied converters. The suppression of fundamental frequency oscillations caused by DC offset in the input signal must be carried out without compromising the dynamic response of the system. The use of low pass filters for example results in undesirable, slow response. This paper proposes an accurate and fast decoupling of fundamental frequency oscillations using a mathematic cancellation decoupling cell. Higher frequency oscillations generated by harmonics/interharmonics are eliminated by a different compensation network (HCN) that is also proposed in this paper. The performance of conventional techniques is limited because they eliminate only specifically selected harmonics. The proposed HCN module, however, eliminates any number of harmonics/interharmonics present in the grid with the least computational complexity and without any prior knowledge. Furthermore, its advanced features provide accurate synchronization under any abnormal grid condition at the lowest computational complexity when compared to existing state-of-the-art PLLs. The advanced performance of the proposed Harmonic-Interharmonic-DC-Offset (HIHDO) PLL is verified through simulation and experimental results.