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This1 paper proposes the Smooth Gradient Descent (SGD) algorithm for recursively identifying a linear Finite Impulse Response (FIR) model with a large set of parameters (‘long impulse response’). The main thesis is that a successful design of such adaptive filter must hinge on (i) the choice of a proper loss function, and (ii) the choice of a proper norm for the impulse response vector. Theoretical...
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