# Lecture Notes

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) |