Probability theory, signals and linear networks, Fourier transforms, random processes and noise are reviewed. Analog communications including amplitude and frequency modulation with and without noise are studied. Digital communications including baseband pulse modulation, quantization, sampling theory, digital pulse shaping, matched filter, Nyquist criterion and error rates due to noise are covered.

Methods and techniques for digital signal processing, covering the basic principles governing the design and use of digital systems as signal processing devices. Review of discrete-time linear systems, Fourier transforms and z-transforms. Topics include allpass and minimum-phase systems, linear phase systems and group delay, sampling, decimation, interpolation, discrete-time filter design and implementation, discrete Fourier series, discrete Fourier transform, the fast Fourier transform, and basic spectral estimation. Applications to digital processing of real data are included.

Representation, analysis and design of discrete signals and systems. Topics include a review of the z-transform and the discrete-time Fourier transform, the fast Fourier transform, digital filter structures, digital filter design techniques, quantization issues and effects of finite word-length arithmetic, sampling and oversampling, decimation and interpolation, linear prediction, the Hilbert transform, and the complex cepstrum. Students gain experience in analyzing and designing digital signal processing systems through computer projects.