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util_AWGNchannel_PtByPt.vi

Module by: Ed Doering. E-mail the authorEdited By: Erik Luther, Sam Shearman

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

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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A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

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