Laplace transforms; partial fraction expansions; simple and multiple poles and zeros; convolution; linear system impulse response and transfer function; Bode diagrams; active filters; Fourier series and Fourier transform; properties of the Fourier transforms; Fourier spectrum and power spectrum; Parseval's theorem; Energy spectral density and power spectral density; Discrete time signals and systems; sampling theory and rate conversion; discrete convolution and correlation; Discrete Fourier transform algorithms including FFT; Z-transform; relationship of Z- and Laplace transforms; Digital filter design by Z-transform and from analog designs; Relationship to state-space; computer aided design and analysis of digital and analog linear systems.