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Discrete Systems—Moving Average Systems

  • Frédéric Cohen Tenoudji
Chapter
Part of the Modern Acoustics and Signal Processing book series (MASP)

Abstract

The digital filters have the decisive advantage of being easy to implement in a signal processing chain, easily modifiable, and able to vary over time to adapt to the evolutions of the signals to be processed (adaptive filtering, Kalman filtering). We show that the function z n is an eigenfunction of a time-invariant digital system. The impulse response, the transfer function and the frequency response are defined. The z-plane plays the role played by the Laplace plane for analog systems. A discrete convolution of the input signal by the impulse response provides the output signal. We study some examples of moving average filters and show how we can interpret geometrically the variation of the system’s frequency response. The advantages of the Moving Average Filters are that they have a finite impulse response length. A disadvantage of MA filters is that they are not very selective.

Keywords

Impulse Response Finite Impulse Response Digital Filter Average Filter Nyquist Frequency 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Pierre and Marie Curie University, UPMCParisFrance

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