Traditionally, static linearity and dynamic distortion tests are performed separately for ADCs. To this end, a low-frequency sinewave is histogrammed to measure static Integral Nonlinearity, and a high-frequency sine-wave is sampled for FFT processing to measure dynamic distortions and dynamic range. We propose to use a model-based technique to extract both static and dynamic nonlinearities fro...

We study the continuum limit of the spin-1 chain in the non-Abelian bosonization approach of Affleck and show that the Hamiltonian of integrable spin-1 chain yields the Lagrangian of supersymmetric sine-Gordon model in the zero lattice spacing limit. We also show that the quantum group generators of the spin-1 chain give non-local charges of the supersymmetric sine-Gordon theory. PACS numbers: ...

in this paper, we are interested to study the sine-gordon equation in generalized functions theory introduced by colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the colombeau algebra). then we study the association concept with the classical solution.