Explain linear time-invariant systems


1. Learn concept of the Fourier transform, properties and applications.

2. Solve problems and write programs in MATLAB for transformation of signals into the given window, calculation of linear convolutions of audio-signals, graphical representation of the transfer function in the form of pole-zero diagram, computing the Fourier transform of the signals, computation of a voltage (output) of the RLC circuit when the current (input) is given.

Topics covered:

1. Basic concepts of signals and systems.

2. Signals and their functional representations.

3. Continuous-time and discrete-time signals and systems.

4. Dirac delta function.

5. Linear time-invariant systems.

6. Time-domain solutions of differential equations.

7. The Fourier series of periodic signals.

8. The Fourier transforms.

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