Foundations of circuit theory—electric fields, magnetic fields, transmission lines, and Maxwell’s equations, with engineering applications.
Fundamentals of digital signal processing, digital filtering, recursive and non recursive filters, linear phase and minimum phase systems, digital filter structures, allpass filters and applications, quantization and stability analysis, round-off noise calculations, Nyquist and sub-Nyquist sampling, elements of multi-rate signal processing, reconstruction of sparsely sampled signals, statistical signal processing and sensor array signal processing, and applications in various areas.
Signals, Systems, and Transforms
An introduction to continuous and discrete time signals and systems with emphasis on digital signal processing systems. Study of the Fourier transform, Fourier series, z-transforms, and the fast Fourier transform as applied in electrical engineering. Sampling theorems for continuous to discrete-time conversion. Difference equations for digital signal processing systems, digital system realizations with block diagrams, analysis of transient and steady state responses, and connections to other areas in science and engineering.