SES # | TOPICS | LECTURE NOTES |
---|---|---|

1 | Introduction to signal processing Properties of LTI continuous filters The Dirac delta function Properties of the delta function Practical applications of the Dirac delta function | (PDF) |

2 | Continuous LTI system time-domain response Sinusoidal response of LTI continuous systems | (PDF) |

3 | The Fourier series and transform Periodic input functions — the Fourier series Aperiodic input functions — the Fourier transform | (PDF) |

4 | Review of development of Fourier transform The frequency response of a linear system defined directly from the Fourier transform Relationship between the frequency response and the impulse response The convolution property | (PDF) |

5 | The one-sided Laplace transform The transfer function Poles and zeros of the transfer function Frequency response and the pole-zero plot | (PDF) |

6 | Poles and zeros of filter classes The decibel Low-pass filter design | (PDF) |

7 | Butterworth filter design example Chebyshev filters | (PDF) |

8 | Second-order filter sections Transformation of low-pass filters to other classes State-variable active filters | (PDF) |

9 | Operational-amplifier based state-variable filters Introduction to discrete-time signal processing | (PDF) |

10 | The sampling theorem The discrete Fourier transform (DFT) | (PDF) |

11 | The discrete Fourier transform (cont.) The fast Fourier transform (FFT) | (PDF) |

12 | The fast Fourier transform (cont.) Spectral leakage in the DFT and apodizing (windowing) functions | (PDF) |

13 | Introduction to time-domain digital signal processing The discrete-time convolution sum The z-transform | (PDF) |

14 | The discrete-time transfer function The transfer function and the difference equation Introduction to z-plane stability criteria The frequency response of discrete-time systems The Inverse z-Transform | (PDF) |

15 | Frequency response and poles and zeros FIR low-pass filter design | (PDF) |

16 | FIR low-pass filter design by windowing Window FIR filters or other filter types The zeros of a linear phase FIR filter | (PDF) |

17 | Frequency-sampling filters FIR filter design using optimization | (PDF) |

18 | FFT convolution for FIR filters The design of IIR filters | (PDF) |

19 | The design of IIR filters (cont.) | (PDF) |

20 | Direct-form filter structures Transversal FIR structure IIR direct form structures Transposed direct forms Coefficient sensitivity in direct form filters | (PDF) |

21 | Interpolation and decimation Introduction to random signals | (PDF) |

22 | The correlation functions (cont.) Linear system input/output relationships with random inputs Discrete-time correlation | (PDF) |

23 | Non-parametric power spectral density estimation | (PDF) |

24 | Least-squares filter design | (PDF) |

25 | Adaptive filtering | (PDF) |