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

  • Founded by inventor, industrialist and philanthropist Peter Cooper in 1859, The Cooper Union for the Advancement of Science and Art offers education in art, architecture and engineering, as well as courses in the humanities and social sciences.

  • “My feelings, my desires, my hopes, embrace humanity throughout the world,” Peter Cooper proclaimed in a speech in 1853. He looked forward to a time when, “knowledge shall cover the earth as waters cover the great deep.”

  • From its beginnings, Cooper Union was a unique institution, dedicated to founder Peter Cooper's proposition that education is the key not only to personal prosperity but to civic virtue and harmony.

  • Peter Cooper wanted his graduates to acquire the technical mastery and entrepreneurial skills, enrich their intellects and spark their creativity, and develop a sense of social justice that would translate into action.