| • Introduction: Signals, Systems, Linear Systems, Time-Invariant Systems, Continuous-time signals and systems, Discrete-time signals and systems, Fourier Series representation of signals and systems. • Continuous-time signals and systems: The impulse function, properties of the impulse function, Fourier transform of the impulse function, impulse response and frequency response of continuous-time systems, convolution, the sifting integral, the Laplace transform, pole-zero models. • Discrete-time signals and systems: Sampling, uniform and non-uniform quantization, Linear difference equations, frequency response of discrete-time systems, discrete-time convolution and unit sample response, sampled bandpass signals. Intro to digital filters. • The Z-transform: Convergence of the ZT, properties of the ZT, Applications of the ZT. • The Fourier transform (FT): The discrete-time FT (DTFT), properties of the DTFT, Parseval's Theorem, Sampled signal spectrum, Repeat spectra, Alias, Periodogram. • Random Signals: Types of noise, Frequency-response estimation using noise. Random variables, Probability Density Function (PDF), Random processes. Spectral estimation. The periodogram. Bartlett's method. |