# On the role of differential geometry in signal processing

@article{Manton2005OnTR, title={On the role of differential geometry in signal processing}, author={J. Manton}, journal={Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005.}, year={2005}, volume={5}, pages={v/1021-v/1024 Vol. 5} }

Traditionally, the majority of non-linear signal processing problems were tackled either by appropriate linearisations or by some ad hoc technique. By contrast, linear signal processing problems are routinely solved systematically by astute application of results from linear algebra. This paper shows by example how differential geometry provides the necessary tools and mindset for systematically solving certain non-linear problems commonly encountered in signal processing.

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