Definitions and properties of
Laplace transform, continuous-time and discrete-time
Fourier series, continuous-time and discrete-time
Fourier Transform, z-transform.
Sampling theorems.
Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros frequency response, group delay, phase delay. Signal transmission through LTI systems. Random signals and noise:
probability,
random variables,
probability density function, autocorrelation,
power spectral density, function analogy between vectors & functions.
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