Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Design linear discrete-time systems and filters and analyze their behavior. Represent continuous-time signals and linear systems in discrete time, so that such signals can be recovered in continuous ...

Let μn be a sequence of discrete measures on the unit circle T = ℝ/ℤ with μn (0) = 0, and μn ((-δ,δ)) → 1, as n → ∞. We prove that the sequence of convolution operators (f ⁕ μn)(x) is strong sweeping ...