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Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"\u003ch1 align='center'\u003eDeep Signal Processing\u003c/h1\u003e\n\u003ch2 align='center'\u003e Accompanying notebooks for [TBA] \u003c/h2\u003e\n\n\n## The Atlas of Convolutions \n### Part 1: Memory, Causality and Parameter Scaling\n* `basics`: introduces the basic idea of a linear convolution and the different ways of implementing it\n* `fft_conv`: discusses diagonalization of circulant matrices, motivating an efficient method to convolve signals\n* `causality`: investigates how to enforce causality of a convolution \n* `ssm_kernel`: provides a showcase of a simple diagonal state space and the resulting kernel\n* `transfer_function`: primer on transfer functions, properties and how to parametrize a convolution as a ratio of polynomials over the complex numbers\n* `analysis`: explains how to leverage amplitude and phase of a frequency response to inspect input-output pairs for pure sinusoidal signals\n* 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