Faster GPS via the sparse fourier transform

GPS is one of the most widely used wireless systems. A GPS receiver has to lock on the satellite signals to calculate its position. The process of locking on the satellites is quite costly and requires hundreds of millions of hardware multiplications, leading to high power consumption. The fastest known algorithm for this problem is based on the Fourier transform and has a complexity of O(n log n), where n is the number of signal samples. This paper presents the fastest GPS locking algorithm to date. The algorithm reduces the locking complexity to O(n √ log n). Further, if the SNR is above a threshold, the algorithm becomes linear, i.e., O(n). Our algorithm builds on recent developments in the growing area of sparse recovery. It exploits the sparse nature of the synchronization problem, where only the correct alignment between the received GPS signal and the satellite code causes their cross-correlation to spike. We further show that the theoretical gain translates into empirical ga...

• Type: Journal
• Year: 2012
• Where: MOBICOM
• Authors: Haitham Hassanieh, Fadel Adib, Dina Katabi, Piotr Indyk
• Keywords: Communications, Computer Communications Networks, Computer Systems Organization, MOBICOM 2012, Software Radios