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5. FIR Filters: Moving Average Filters

FIR filters are a crucial component in digital signal processing, characterized by a finite number of coefficients and their inherent stability. The Moving Average Filter (MAF), a specific type of FIR filter, is celebrated for its simplicity and effectiveness in smoothing signals and reducing noise. Key characteristics of FIR filters, such as linear phase and non-recursive nature, contribute to their widespread applications in various domains including audio processing, signal smoothing, and real-time data analysis.

Sections

  • 5

    Fir Filters: Moving Average Filters

    This section introduces FIR filters and focuses specifically on Moving Average Filters (MAF), discussing their properties, design, and applications.

  • 5.1

    Introduction

    FIR filters, particularly moving average filters, are essential in digital signal processing for their stability and simplicity.

  • 5.2

    Fir Filters: Basics

    This section introduces Finite Impulse Response (FIR) filters, explaining their structure, calculation of output, and key characteristics.

  • 5.3

    Moving Average Filter (Maf)

    The Moving Average Filter (MAF) is a type of FIR filter that smooths signals by averaging a set number of recent input samples.

  • 5.3.1

    Example Of A Moving Average Filter

    This section provides a practical example of applying a 3-point Moving Average Filter to a given input signal.

  • 5.4

    Properties Of Fir Filters

    FIR filters possess unique properties such as linear phase, stability, and simplicity, making them essential in digital signal processing.

  • 5.5

    Frequency Response Of The Moving Average Filter

    This section discusses the frequency response of the Moving Average Filter (MAF), which describes how the filter affects different frequency components of an input signal.

  • 5.5.1

    Example Of Frequency Response Of A Moving Average Filter

    This section exemplifies the frequency response of a 3-point moving average filter, showcasing its characteristics and effects on different frequency components.

  • 5.6

    Design Of Fir Filters

    The design of FIR filters involves selecting the desired frequency response, determining the filter length, applying windowing methods, and computing the filter coefficients.

  • 5.7

    Applications Of Moving Average Filters

    This section highlights the various applications of moving average filters, emphasizing their role in noise reduction and signal smoothing.

  • 5.8

    Conclusion

    The Moving Average Filter is a fundamental FIR filter used in digital signal processing for tasks such as smoothing and noise reduction.

References

eeoe-dsp-5.pdf

Class Notes

Memorization

What we have learnt

  • FIR filters have a finite n...
  • The Moving Average Filter i...
  • FIR filters can be designed...

Final Test

Revision Tests