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Ergodic theory. Information theory --- Mathematical control systems --- Harmonic analysis. Fourier analysis --- Image processing --- Wavelets (Mathematics) --- Traitement d'images --- Ondelettes --- Mathematics. --- Mathématiques --- Wavelets (Mathematics). --- Mathématiques

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This is a unique book on the mathematics of signals written for hearing science researchers. Designed to follow an introductory text on psycho-acoustics, Signals, Sound and Sensation takes the reader through the mathematics of signal processing from it beginnings in the Fourier transform to advanced topics in modulation, dispersion relations, minimum phase systems, sampled data and nonlinear distortion.

Auditory perception --- Fourier analysis --- Psychoacoustics --- Signal processing --- Signal theory (Telecommunication) --- Sound --- Electric signal theory --- Electric waves --- Signal detection --- Telecommunication --- Acoustics --- Continuum mechanics --- Mathematical physics --- Physics --- Pneumatics --- Radiation --- Wave-motion, Theory of --- Psychophysics --- Analysis, Fourier --- Mathematical analysis --- Sound perception --- Hearing --- Perception --- Word deafness --- Mathematics --- Auditory Perception --- Fourier Analysis --- Signal Processing, Computer-Assisted

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Quarternionic calculus covers a branch of mathematics which uses computational techniques to help solve problems from a wide variety of physical systems which are mathematically modelled in 3, 4 or more dimensions. Examples of the application areas include thermodynamics, hydrodynamics, geophysics and structural mechanics. Focusing on the Clifford algebra approach the authors have drawn together the research into quarternionic calculus to provide the non-expert or research student with an accessible introduction to the subject. This book fills the gap between the theoretical representations and the requirements of the user.

differentiaalvergelijkingen --- Harmonic analysis. Fourier analysis --- Partial differential equations --- complexe analyse (wiskunde) --- Mathematical physics --- 512.5 --- Boundary value problems --- Clifford algebras --- Differential equations, Partial --- Quaternions --- Algebra, Universal --- Algebraic fields --- Curves --- Surfaces --- Numbers, Complex --- Vector analysis --- Geometric algebras --- Algebras, Linear --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Initial value problems --- General algebra --- Boundary value problems. --- Clifford algebras. --- Differential equations, Partial. --- Quaternions. --- 512.5 General algebra