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    This module is included inLens: Analog / Digital Communications with National Instruments LabVIEW
    By: Sam ShearmanAs a part of collections:"SubVI Specifications for "Communication Systems Projects with LabVIEW"", "Communication Systems Projects with LabVIEW"

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util_AWGNchannel_PtByPt.vi

Module by: Ed Doering. E-mail the author

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Summary: Build a LabVIEW subVI to simulate an additive white Gaussian noise-impaired channel.

Note: Your browser may not currently support MathML. See our browser support page for additional details. You can always view the correct math in the PDF version.

Table 1
LabVIEWtop.png This module refers to LabVIEW, a software development environment that features a graphical programming language. Please see the LabVIEW QuickStart Guide module for tutorials and documentation that will help you:
• Apply LabVIEW to Audio Signal Processing
• Get started with LabVIEW
• Obtain a fully-functional evaluation edition of LabVIEW

Note:

Visit LabVIEW Setup to learn how to adjust your own LabVIEW environment to match the settings used by the LabVIEW screencast video(s) in this module. Click the "Fullscreen" button at the lower right corner of the video player if the video does not fit properly within your browser window.

LabVIEW SubVI: util_AWGNchannel_PtByPt.vi

  • Description: Simulate an additive white Gaussian noise-impaired channel. This subVI works on a point-by-point basis and is intended to operated within a for-loop or while-loop structure.
  • Category: General-purpose utility ("util" prefix)

Inputs (Controls)

  1. signal in -- DBL
  2. Eb, energy per bit [J/bit] (1) -- DBL
  3. Eb/No, SNR per bit [dB] (10) -- DBL
  4. fs [Hz] (1000) -- DBL

Parentheses ( ) indicate default value; square brackets [ ] designate units.

Outputs (Indicators)

  1. signal out -- DBL
  2. sigma -- DBL
  3. Eb/No -- DBL

Required Behavior

  • A new sample of a Gaussian white noise process is determined and added to signal in each time the subVI runs to produce signal out.
  • The standard deviation parameter of the Gaussian white noise generator is calculated as σ= E b f s 2⋅ 10 E b / N 0 [dB] / 10 σ= E b f s 2⋅ 10 E b / N 0 [dB] / 10 MathType@MTEF@5@5@+=feaagaart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYb1uaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaacqaHdpWCcqGH9aqpdaGcaaqaamaalaaabaGaamyramaaBaaaleaacaWGIbaabeaakiaadAgadaWgaaWcbaGaam4CaaqabaaakeaacaaIYaGaeyyXICTaaGymaiaaicdadaahaaWcbeqaamaalyaabaGaamyramaaBaaameaacaWGIbaabeaaliaac+cacaWGobWaaSbaaWqaaiaaicdaaeqaaSGaae4waiaabsgacaqGcbGaaeyxaaqaaiaaigdacaaIWaaaaaaaaaaabeaaaaa@4A2E@ and is reported by the sigma indicator.
  • Eb/No indicates the SNR per bit converted from the decibel form of the corresponding control.

The equation used to convert Eb/No to standard deviation is derived in the screencast video of Figure 1.

Figure 1: [video] Convert Eb/No to standard deviation
Figure 1 (subVI_util_AWGNchannel_PtByPt-explained.htm)

LabVIEW Coding Tips

View the screencast video in Create a SubVI in LabVIEW to learn the mechanics of subVIs.

Refer to the Figure 2 screencast video for LabVIEW coding tips and techniques specific to this subVI.

Figure 2: [video] LabVIEW coding tips and techniques for util_AWGNchannel_PtByPt.vi
Figure 2 (subVI_util_AWGNchannel_PtByPt-vi.htm)

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