## Course Description

This course was developed in 1987 by the MIT Center for Advanced Engineering Studies. It was designed as a distance-education course for engineers and scientists in the workplace.

Advances in integrated circuit technology have had a major impact on the technical areas to which digital signal processing techniques and hardware are being applied. A thorough understanding of digital signal processing fundamentals and techniques is essential for anyone whose work is concerned with signal processing applications.

Digital Signal Processing begins with a discussion of the analysis and representation of discrete-time signal systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time. The course proceeds to cover digital network and non-recursive (finite impulse response) digital filters. Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.

## Instructors:

Prof. Alan V. Oppenheim

## Video Lectures:

Demonstration 1: Sampling, Aliasing, and Frequency Response, Part 1. (Go to this video)

Demonstration 2: Sampling, Aliasing, and Frequency Response, Part 2. (Go to this video)

Lecture 1: Introduction. (Go to this video)

Lecture 2: Discrete-Time Signals and Systems, Part 1. (Go to this video)

Lecture 3: Discrete-Time Signals and Systems, Part 2. (Go to this video)

Lecture 4: The Discrete-Time Fourier Transform. (Go to this video)

Lecture 5: The z-Transform. (Go to this video)

Lecture 6: The Inverse z-Transform. (Go to this video)

Lecture 7: z-Transform Properties. (Go to this video)

Lecture 8: The Discrete Fourier Series. (Go to this video)

Lecture 9: The Discrete Fourier Transform. (Go to this video)

Lecture 10: Circular Convolution. (Go to this video)

Lecture 11: Representation of Linear Digital Networks. (Go to this video)

Lecture 12: Network Structures for Infinite Impulse Response (IIR) Systems. (Go to this video)

Lecture 13: Network Structures for Finite Impulse Response (FIR) Systems and Parameter Quantization Effects in Digital Filter Structures. (Go to this video)

Lecture 14: Design of IIR Digital Filters, Part 1. (Go to this video)

Lecture 15: Design of IIR Digital Filters, Part 2. (Go to this video)

Lecture 16: Digital Butterworth Filters. (Go to this video)

Lecture 17: Design of FIR Digital Filters. (Go to this video)

Lecture 18: Computation of the Discrete Fourier Transform, Part 1. (Go to this video)

Lecture 19: Computation of the Discrete Fourier Transform, Part 2. (Go to this video)

Lecture 20: Computation of the Discrete Fourier Transform, Part 3. (Go to this video)

## Lecture Notes:

LEC # | TOPICS | LECTURE NOTES | PROBLEM SOLUTIONS |
---|---|---|---|

1 | Introduction | (PDF) | |

2 | Discrete-time signals and systems, part 1 | (PDF) | (PDF) |

3 | Discrete-time signals and systems, part 2 | (PDF) | (PDF) |

4 | The discrete-time Fourier transform | (PDF) | (PDF) |

5 | The z-transform | (PDF) | (PDF) |

6 | The inverse z-transform | (PDF) | (PDF) |

7 | Z-transform properties | (PDF) | (PDF) |

8 | The discrete Fourier series | (PDF) | (PDF) |

9 | The discrete Fourier transform | (PDF) | (PDF) |

10 | Circular convolution | (PDF) | (PDF) |

11 | Representation of linear digital networks | (PDF) | (PDF) |

12 | Network structures for infinite impulse response (IIR) systems | (PDF) | (PDF) |

13 | Network structures for finite impulse response (FIR) systems and parameter quantization effects in digital filter structures | (PDF) | (PDF) |

14 | Design of IIR digital filters, part 1 | (PDF) | (PDF) |

15 | Design of IIR digital filters, part 2 | (PDF) | (PDF) |

16 | Digital Butterworth filters | (PDF) | (PDF) |

17 | Design of FIR digital filters | (PDF) | (PDF) |

18 | Computation of the discrete Fourier transform, part 1 | (PDF) | (PDF) |

19 | Computation of the discrete Fourier transform, part 2 | (PDF) | (PDF) |

20 | Computation of the discrete Fourier transform, part 3 | (PDF) | (PDF) |

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