This course provides a general study of linear system theory and signal representation techniques as preparation for continued study in communications, control, and electronic systems. Topics include the resolution of continuous time signals and discrete time sequences into their images as frequency functions using Fourier series and transforms. The study includes singularity functions, convolution, convergence properties, and transform properties. The Laplace transform and its inverse provide a method for determining the system function for systems described by differential equations, while the z-transform and its inverse provide a method of analysis for difference equations. A study of analog and digital (both finite and infinite impulse response) filter design and sampled data systems culminates in the implementation of digital filters using computer aided design tools and a TMS320 signal processor. The course concludes with a study of special topics.
