## Ali Tajer

## Associate Professor

## Electrical, Computer, and Systems Engineering

## Rensselaer Polytechnic Institute

##

(518) 276-8237

6040 Jonsson Engineering Center, 110 8th Street, Troy, NY 12180

## Signals & Systems

## Spring 2020

Title | Topic |
---|---|

Lecture 1 | introductions to signals & systems, signal size, signal classification |

Lecture 2 | discrete-time signals, signal symmetry, complex numbers, exponential function, signal operations |

Lecture 3 | useful signals (unite step, impulse (delta), gate) |

Lecture 4 | properties of delta function, ramp function, discrete-time signals, systems, linear systems |

Lecture 5 | system properties (linearity, time-invariance, memory, stability) |

Lecture 6 | response of LTI systems, convolution |

Lecture 7 | properties of convolution |

Lecture 8 | LTI system properties, orthogonal sets, Fourier series definition |

Lecture 9 | Fourier series expansion |

Lecture 10 | Fourier series properties |

Lecture 11 | Fourier series properties, trigonometric Fourier series |

Lecture 12 | Response of LTI systems to cosine inputs, Fourier transform definition |

Lecture 13 | Fourier transform properties |

Lecture 14 | Fourier transform properties |

Lecture 15 | Fourier transform properties, communication systems |

Lecture 16 | communication systems, sampling & reconstruction |

Lecture 17 | sampling & reconstruction |

Lecture 18 | Laplace transform |

Lecture 19 | inverse Laplace transform |

Lecture 20 | analyzing LTI systems by Laplace transform |

Lecture 21 | ideal filters, Butterworth filters |

Lecture 22 | Butterworth filters, 2nd order systems |

Lecture 23 | feedback |

Lecture 24 | Root locus |

Lecture 25 | z-transform |

Lecture 26 | z-transform properties |