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Aliasing Probability for Multiple Input Signature Analyzer

Published: 01 April 1990 Publication History

Abstract

Single and multiple multiple-input-signature-register (MISR) aliasing probability expressions are presented for arbitrary test lengths. A framework, based on algebraic codes, is developed for the analysis and synthesis of MISR-based test response compressors for BIST. This framework is used to develop closed-form expressions for the aliasing probability of MISR for arbitrary test length. An error model, based on q-ary symmetric channel, is proposed using more realistic assumptions. Results are presented that provide the weight distributions for q-ary codes (q=2/sup m/, where the circuit under test has m outputs). These results are used to compute the aliasing probability for the MISR compression technique for arbitrary test lengths. This result is extended to compression using two different MISRs. It is shown that significant improvements can be obtained by using two signature analyzers instead of one. The weight distribution of a class of codes of arbitrary length is also given.

References

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{1} P. H. Bardell, W. H. McAnney, and J. Savir, Built-In Test for VLSI: Pseudorandom Techniques. New York: Wiley, 1987.
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{2} S. K. Gupta and D. K. Pradhan, "Combining data compression techniques," in Proc. BIST Workshop, Charleston, SC, 1987.
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{3} A. Ivanov and V. K. Agarwal, "Analysis of the probabilistic behavior of linear feedback signature registers," IEEE Trans. Comput.-Aided Design, vol. 8, pp. 1074-1088, Oct. 1988.
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{4} K. Iwasaki, "Analysis and proposal of signature circuits for LSI testing," IEEE Trans. Comput.-Aided Design, vol. 7, pp. 84-90, Jan. 1988.
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{5} T. Kasami and S. Lin, "The binary weight distribution of the extended (2<sup>m</sup>, 2<sup>m</sup> - 4) code of the Reed-Solomon code over GF(2<sup>m</sup>) with generator polynomial (x - α)(x - α<sup>2</sup>)(x - α<sup>3</sup>)," Linear Alg. Appl., vol. 98, pp. 291-307.
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{6} M. G. Karpovsky and P. Nagvajara, "Optimal time and space compression of test responses for VLSI devices," in Proc. Int. Test Conf., 1987, pp. 523-528.
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{7} M. G. Karpovsky and P. Nagvajara, "Optimal robust compression of test responses," IEEE Trans. Comput., vol. 37, Nov. 1988.
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{8} F. J. MacWilliams and N. J. A. Sloane, Theory of Error-Correcting Codes. New York: North-Holland, 1978.
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{9} P. C. Maxwell, "Comparative analysis of different implementations of multiple-input signature analyzers," IEEE Trans. Comput., vol. 37, pp. 1411-1414, Nov. 1988.
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{10} D. K. Pradhan and S. Gupta, "A new framework for designing and analyzing BIST techniques: Computation of exact aliasing probability," IEEE Trans. Comput., submitted for publication.
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{12} T. W. Williams et al., "Bounds and analysis of aliasing errors in linear feedback shift registers," IEEE Trans. Comput.-Aided Design, vol. 7, pp. 75-83, Jan. 1988.
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{13} T. W. Williams and A. Daehn, "Aliasing errors in multiple input signature analysis registers," in Proc. BIST Workshop, Charleston, SC, 1989.

Cited By

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  • (2005)Aliasing Probability Calculations for Arbitrary Compaction under Independently Selected Random Test VectorsIEEE Transactions on Computers10.1109/TC.2005.18954:12(1614-1627)Online publication date: 1-Dec-2005
  • (1999)Built-in Self Test Based on Multiple On-Chip Signature CheckingJournal of Electronic Testing: Theory and Applications10.1023/A:100831020379014:3(227-244)Online publication date: 1-Jun-1999
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Published In

cover image IEEE Transactions on Computers
IEEE Transactions on Computers  Volume 39, Issue 4
April 1990
188 pages
ISSN:0018-9340
Issue’s Table of Contents

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IEEE Computer Society

United States

Publication History

Published: 01 April 1990

Author Tags

  1. algebraic codes
  2. aliasing probability expressions
  3. arbitrary test lengths
  4. closed-form expressions
  5. compression technique
  6. error model
  7. logic analysers.
  8. multiple input signature analyzer
  9. multiple-input-signature-register
  10. q-ary symmetric channel
  11. test response compressors
  12. weight distributions

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Cited By

View all
  • (2023)A CCFI Verification Scheme Based on the RISC-V Trace EncoderConstructive Side-Channel Analysis and Secure Design10.1007/978-3-031-29497-6_3(42-61)Online publication date: 3-Apr-2023
  • (2005)Aliasing Probability Calculations for Arbitrary Compaction under Independently Selected Random Test VectorsIEEE Transactions on Computers10.1109/TC.2005.18954:12(1614-1627)Online publication date: 1-Dec-2005
  • (1999)Built-in Self Test Based on Multiple On-Chip Signature CheckingJournal of Electronic Testing: Theory and Applications10.1023/A:100831020379014:3(227-244)Online publication date: 1-Jun-1999
  • (1998)A Unified Analytical Expression for Aliasing Error Probability Using Single-Input External- and Internal-XOR LFSRIEEE Transactions on Computers10.1109/12.73768747:12(1414-1417)Online publication date: 1-Dec-1998
  • (1997)Representation of multichannel signature analyzers by linear polynomials over finite fieldsCybernetics and Systems Analysis10.1007/BF0266719733:5(724-730)Online publication date: 1-Sep-1997
  • (1996)Reducing the MISR SizeIEEE Transactions on Computers10.1109/12.53623545:8(930-938)Online publication date: 1-Aug-1996
  • (1996)Aliasing Error for a Mask ROM Built-In Self-TestIEEE Transactions on Computers10.1109/12.48556645:3(270-277)Online publication date: 1-Mar-1996
  • (1996)Utilization of On-Line (Concurrent) Checkers during Built-In Self-Test and Vice VersaIEEE Transactions on Computers10.1109/12.48148745:1(63-73)Online publication date: 1-Jan-1996
  • (1995)On the Maximum Value of Aliasing Probabilities for Single Input Signature RegistersIEEE Transactions on Computers10.1109/12.47512244:11(1265-1274)Online publication date: 1-Nov-1995
  • (1995)Counter-Based CompactionIEEE Transactions on Computers10.1109/12.39118344:6(780-791)Online publication date: 1-Jun-1995
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