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This foundational unit covers the essential mathematical tools for signal processing, including Fourier series, the Fourier transform, and its properties. The crucial concepts of convolution and the sampling theorem are also introduced here. The latter half of the unit is dedicated to understanding the bane of all communication systems: noise. It explores types of internal and external noise, noise calculation, and the all-important noise figure and signal-to-noise ratio (SNR). The latter half of the unit is dedicated