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hamming_ParityCheckMatrix.vi

Module by: Ed Doering. E-mail the author

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Summary: Build a LabVIEW subVI to create the parity check matrix (H matrix) for the (n,k) Hamming linear block code.

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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: hamming_ParityCheckMatrix.vi

  • Description: Create the parity check matrix (H matrix) for the (n,k) Hamming linear block code, given the parity matrix (P matrix). Since the matrix is defined in terms of its transpose, the subVI actually produces HT (the transpose of H).
  • Category: Hamming (n,k) block code ("hamming" prefix)

Inputs (Controls)

  1. P matrix, k by q -- Real Matrix

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

Outputs (Indicators)

  1. HT matrix, q by n -- Real Matrix

Required Behavior

  1. The transpose of the parity check matrix is H T ≜[ P I q ] H T ≜[ P I q ] MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYb1uaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGibWaaWbaaSqabeaacaWGubaaaOGaeSixIa0aamWaaeaadaWcaaqaaiaadcfaaeaacaWGjbWaaSbaaSqaaiaadghaaeqaaaaaaOGaay5waiaaw2faaaaa@3D43@ , where I q I q MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYb1uaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGjbWaaSbaaSqaaiaadghaaeqaaaaa@3736@ is the q by q identity matrix, and P is the parity matrix associated with Hamming code generator (G) matrix.

LabVIEW Coding Tips

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

Refer to the Figure 1 screencast video for LabVIEW coding tips and techniques specific to this subVI.

Figure 1: [video] LabVIEW coding tips and techniques for hamming_ParityCheckMatrix.vi
Figure 1 (subVI_hamming_ParityCheckMatrix-vi.htm)

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