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Signals and systems
Discrete-time systems
Feedback, poles, and fundamental modes
Continuous-time systems
Z transform
Laplace transform
Discrete approximation of continuous-time systems
Convolution
Frequency response
Feedback and control
Continuous-time frequency response and Bode plots
Continuous-time feedback and control, part 1
Continuous-time feedback and control, part 2
Fourier representations
Fourier series
Fourier transform
Discrete-time frequency representations
Discrete-time Fourier representations
Relations among Fourier representations
Applications of Fourier transforms
Sampling
Sampling and quantization
the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing.
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