CPEN 301:Signals and Systems

History and overview of signals and systems including reasons for studying signals and systems, areas of application, and role of signals and systems in computer engineering. Signals: representation and properties, continuous and discrete time signals, signals in engineering applications. Systems: representation, common system types and classifications, system properties of linearity, causality, BIBO stability, time invariance, memory and invertibility. Difference equation: differential equations, transformation of time domain differential equations to difference equations. Convolution: impulse response, convolution integral, convolution summation, circuit analysis using convolution. Fourier analysis: signal representation by Fourier series, continuous time Fourier series, discrete time Fourier series, discrete Fourier transform, difference between the transformation methods, circuit analysis using Fourier. Fourier transform: continuous time Fourier transform definition, discrete time Fourier transform, transfer functions. Sampling: sampling theorem, Nyquist criteria, sampling of signals, aliasing, up and down sampling, concept of signal quantization and reconstruction of samples. Laplace transform: Laplace transform integral, properties of Laplace, impulse response, step and ramp functions, inverse transform, poles and zeros, circuit analysis using Laplace transform. Filter circuits: passive and active filter circuits, transfer function.