Signal Processing & Systems Analysis
This course presents a unified treatment of signals and systems. Signal-space concepts for representation and approximation: inner product, orthogonal expansions, projection, Lp-norms. Phasors, complex baseband representation, line spectra. Sampling, aliasing and imaging. Analog and digital LTI systems in the time, frequency and transform domains: convolution, impulse response, frequency response, transfer functions. Continuous and discrete time Fourier transforms, Laplace and z-transforms. Poles and zeros, transient response modes. Block diagrams, stability, feedback. FIR and IIR digital filters and filter structures. Initial conditions, resonance, damping factor, Bode plots. Analog and digital state-space realizations, transition matrix, transfer function matrix. Random signals and vectors: correlation matrices, Gaussian vectors and signals, white noise, stationarity, ergodicity, power spectral density, ARMA models. Extensive use of MATLAB.
3 credits. Prerequisite: Ma 113; corequisite: ECE 210
Course Code: ECE 211