Various embodiments of the present technology generally relate to multi-frequency satellite navigation receiver technology. More specifically, some embodiments relate to an inter-frequency signal aiding technique for multi-frequency signal tracking in a multi-frequency receiver. The present technology enables a satellite navigation receiver (such as GPS) to continue operation, or to have improved performance, in environments where signals on one or more frequency bands experience fading. Some embodiment can estimate parameters of signal channels that experience fading based on measurements obtained from all or other less compromised frequency bands in linear operation by the receiver. Some embodiments can optimally estimate carrier parameters of navigation signals with consideration of relative measurement qualities. These parameters are used to construct the local reference signals, maintain lock on the fading signals, and obtain accurate positioning solutions and remote sensing observations.