Mathematical SETI

Part of the series Springer Praxis Books pp 411-448


A simple introduction to the KLT and BAM-KLT

  • Claudio MacconeAffiliated withInternational Academy of Astronautics and Istituto Nazionale di Astrofisica Email author 

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This chapter is a simple introduction about using the Karhunen–Loève Transform (KLT) to extract weak signals from noise of any kind. In general, the noise may be colored and over wide bandwidths, and not just white and over narrow bandwidths. We show that the signal extraction can be achieved by the KLT more accurately than by the Fast Fourier Transform (FFT), especially if the signals buried into the noise are very weak, in which case the FFT fails.