Digital Signal Processing

Code UE : USEEJ2

  • Cours
  • 4 crédits



Public et conditions d'accès

  • Have, at least, bac + 2 level in electronics (BTS, DUT, DPCT).

Objectifs pédagogiques

In this course we address:
  • Analog to digital signal conversion concept,
  • Sampling and analog to digital conversion
  • Discrete signal Fourier and FFT analysis,
  • FIR and IIR filtering,
  • Introduction to random signal processing,
  • Adaptive filters.

Compétences visées

  • Provide the basics of digital signal processing, making the connection between theoretical analysis and applications.
  • Be able to design and implement a processing device or software.
  • Design and build a digital signal processing device.


Learning OutcomesBy the end of this course, the students will be able to:
  • characterize the main elements of a digital signal processing scheme, including ADC, DAC, anti-aliasing filter and reconstruction filter,
  • compute the discrete Fourier transform, the z-transform of discrete signal,
  • implement digital filters of the FIR or IIR type, and study the stability and the phase behavior of digital filters,
  • compute the auto-correlation, cross correlation and PSD of discrete random signals,
  • understand the need for designing an adaptive digital filter with coefficients computed based on LMS or RLS algorithm.
  • use Matlab for simulations of digital signal processing.
  • Introduction
  • Sampling, ADC and DAC,
  • Discrete Fourier transform, FFT and z-transform,
  • FIR filtering
  • Design of FIR filters and applications
  • IIR filtering
  • Design of IIR filters and applications
  • Introduction to discrete random signal processing,
  • Adaptive filters
  • Project: students will be asked to put in practice assimilated notions to carry out a project describing a practical application. This project will be developed using MATLAB and dedicated digital signal processing platforms.

Modalité d'évaluation

  • Project mark plus final exam.
Project (40%) and Exam (60%).


  • A.V Oppenheim and R.W. Schafer : Discrete Time Signal Processing, Pearson New International Edition, 3rd edition, 2014.
  • J. G. Proakis and D. G. Manolakis : Digital Signal Processing: Principles, Algorithms, and Applications, Prentice Hall International, 3rd edition 1996.

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EPN03 - Easy
292 rue Saint-Martin 11-B-2
75141 Paris Cedex 03
Tel :01 40 27 24 81
Adrian Bontour
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