{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:48:56Z","timestamp":1760237336676,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,4,4]],"date-time":"2020-04-04T00:00:00Z","timestamp":1585958400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Cryptography"],"abstract":"<jats:p>Physical Unclonable Functions (PUFs) are primitives that are designed to leverage naturally occurring variations to produce a random bitstring. Current PUF designs are typically implemented in silicon or utilize variations found in commercial off-the-shelf (COTS) parts. Because of this, existing designs are insufficient for the authentication of Printed Circuit Boards (PCBs). In this paper, we propose a novel PUF design that leverages board variations in a manufactured PCB to generate unique and stable IDs for each PCB. In particular, a single copper trace is used as a source of randomness for bitstring generation. The trace connects three notch filter structures in series, each of which is designed to reject specific but separate frequencies. The bitstrings generated using data measured from a set of PCBs are analyzed using statistical tests to illustrate that high levels of uniqueness and randomness are achievable.<\/jats:p>","DOI":"10.3390\/cryptography4020011","type":"journal-article","created":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T05:05:13Z","timestamp":1586149513000},"page":"11","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["NotchPUF: Printed Circuit Board PUF Based on Microstrip Notch Filter"],"prefix":"10.3390","volume":"4","author":[{"given":"Mitchell","family":"Martin","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1876-117X","authenticated-orcid":false,"given":"Jim","family":"Plusquellic","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, USA"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,4]]},"reference":[{"key":"ref_1","unstructured":"Center, Global Innovation Policy (2016). Measuring the Magnitude of Global Counterfeiting Creation of a Contemporary Global Measure of Physical Counterfeiting, U.S. Chamber of Commerce."},{"key":"ref_2","unstructured":"Lofstrom, K., Daasch, W., and Taylor, D. (2000, January 9). IC identification circuit using device mismatch. Proceedings of the 2000 IEEE International Solid-State Circuits Conference. Digest of Technical Papers, San Francisco, CA, USA."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2026","DOI":"10.1126\/science.1074376","article-title":"Physical one-way functions","volume":"297","author":"Pappu","year":"2002","journal-title":"Science"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Gassend, B., Clarke, D., van Dijk, M., and Devadas, S. (2002, January 9\u201313). Controlled physical random functions. Proceedings of the Computer Security Applications Conference, Las Vegas, NV, USA.","DOI":"10.1145\/586110.586132"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Majzoobi, M., Koushanfar, F., and Potkonjak, M. (2008, January 10\u201313). Lightweight secure PUFs. Proceedings of the 2008 IEEE\/ACM International Conference on Computer-Aided Design, San Jose, CA, USA.","DOI":"10.1109\/ICCAD.2008.4681648"},{"key":"ref_6","unstructured":"Qu, G., and Yin, C.E. (2009, January 27). Temperature-aware cooperative ring oscillator PUF. Proceedings of the 2009 IEEE International Workshop on Hardware-Oriented Security and Trust, Francisco, CA, USA."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Maiti, A., and Schaumont, P. (September, January 31). Improving the quality of a Physical Unclonable Function using configurable Ring Oscillators. Proceedings of the 2009 International Conference on Field Programmable Logic and Applications, Prague, Czech Republic.","DOI":"10.1109\/FPL.2009.5272361"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Guajardo, J., Kumar, S., Schrijen, G.J., and Tuyls, P. (2007, January 27\u201329). Physical Unclonable Functions and Public-Key Crypto for FPGA IP Protection. Proceedings of the 2007 International Conference on Field Programmable Logic and Applications, Amsterdam, The Netherlands.","DOI":"10.1109\/FPL.2007.4380646"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Helinski, R., Acharyya, D., and Plusquellic, J. (2009, January 26\u201331). A physical unclonable function defined using power distribution system equivalent resistance variations. Proceedings of the 2009 46th ACM\/IEEE Design Automation Conference, San Francisco, CA, USA.","DOI":"10.1145\/1629911.1630089"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ju, J., Plusquellic, J., Chakraborty, R., and Rad, R. (2012, January 3\u20134). Bit string analysis of Physical Unclonable Functions based on resistance variations in metals and transistors. Proceedings of the 2012 IEEE International Symposium on Hardware-Oriented Security and Trust, San Francisco, CA, USA.","DOI":"10.1109\/HST.2012.6224312"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1109\/MDAT.2014.2347918","article-title":"How secure are printed circuit boards against trojan attacks?","volume":"32","author":"Ghosh","year":"2014","journal-title":"IEEE Des. Test"},{"key":"ref_12","first-page":"54","article-title":"Obfuscation-based protection framework against printed circuit boards unauthorized operation and reverse engineering","volume":"22","author":"Guo","year":"2017","journal-title":"ACM Trans. Des. Autom. Electron. Syst. (TODAES)"},{"key":"ref_13","unstructured":"Bhunia, S., and Tehranipoor, M. (2018). Hardware Security: A Hands-on Learning Approach, Morgan Kaufmann."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Immler, V., Obermaier, J., K\u00f6nig, M., Hiller, M., and Sig, G. (May, January 30). B-TREPID: Batteryless tamper-resistant envelope with a PUF and integrity detection. Proceedings of the 2018 IEEE International Symposium on Hardware Oriented Security and Trust (HOST), Washington, DC, USA.","DOI":"10.1109\/HST.2018.8383890"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Paley, S., Hoque, T., and Bhunia, S. (2016, January 15\u201316). Active protection against PCB physical tampering. Proceedings of the 2016 17th International Symposium on Quality Electronic Design (ISQED), Santa Clara, CA, USA.","DOI":"10.1109\/ISQED.2016.7479227"},{"key":"ref_16","first-page":"1320","article-title":"A Demonstration of a HT-Detection Method Based on Impedance Measurements of the Wiring Around ICs","volume":"65","author":"Fujimoto","year":"2018","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Aysu, A., Gaddam, S., Mandadi, H., Pinto, C., Wegryn, L., and Schaumont, P. (2016, January 14\u201318). A design method for remote integrity checking of complex PCBs. Proceedings of the 2016 Design, Automation Test in Europe Conference Exhibition (DATE), Dresden, Germany.","DOI":"10.3850\/9783981537079_1007"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1007\/s41635-018-0041-6","article-title":"A Novel Counterfeit Detection Approach for Integrated Circuit Supply Chain Assurance","volume":"2","author":"Frazier","year":"2018","journal-title":"J. Hardw. Syst. Secur."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"144","DOI":"10.2352\/ISSN.2470-1173.2017.7.MWSF-338","article-title":"PCB Surface Fingerprints Based Counterfeit Detection of Electronic Devices","volume":"2017","author":"Iqbal","year":"2017","journal-title":"Electron. Imaging"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Hamlet, J.R., Martin, M.T., and Edwards, N.J. (2017, January 23\u201326). Unique signatures from printed circuit board design patterns and surface mount passives. Proceedings of the 2017 International Carnahan Conference on Security Technology (ICCST), Madrid, Spain.","DOI":"10.1109\/CCST.2017.8167796"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Hennessy, A., Zheng, Y., and Bhunia, S. (2016, January 25\u201328). Jtag-based robust pcb authentication for protection against counterfeiting attacks. Proceedings of the 2016 21st Asia and South Pacific Design Automation Conference (ASP-DAC), Macau, China.","DOI":"10.1109\/ASPDAC.2016.7427989"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1840021","DOI":"10.1142\/S0129156418400219","article-title":"Low Pass Filter PUF: Authentication of Printed Circuit Boards Based on Resistor and Capacitor Variations","volume":"27","author":"Quadir","year":"2018","journal-title":"Int. J. High Speed Electron. Syst."},{"key":"ref_23","first-page":"4070589","article-title":"Design Impedance Mismatch Physical Unclonable Functions for IoT Security","volume":"2017","author":"Zheng","year":"2017","journal-title":"Act. Passiv. Electron. Components"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Wei, L., Song, C., Liu, Y., Zhang, J., Yuan, F., and Xu, Q. (2015, January 2\u20136). BoardPUF: Physical Unclonable Functions for printed circuit board authentication. Proceedings of the 2015 IEEE\/ACM International Conference on Computer-Aided Design (ICCAD), Austin, TX, USA.","DOI":"10.1109\/ICCAD.2015.7372563"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Zhang, F., Hennessy, A., and Bhunia, S. (2015, January 27\u201329). Robust counterfeit PCB detection exploiting intrinsic trace impedance variations. Proceedings of the 2015 IEEE 33rd VLSI Test Symposium (VTS), Napa, CA, USA.","DOI":"10.1109\/VTS.2015.7116294"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1109\/TMTT.1970.1127407","article-title":"Interdigital capacitors and their application to lumped-element microwave integrated circuits","volume":"18","author":"Alley","year":"1970","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_27","unstructured":"Hong, J.S.G., and Lancaster, M.J. (2004). Microstrip Filters for RF\/Microwave Applications, John Wiley & Sons."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1109\/TUFFC.2004.1324407","article-title":"Novel compact microstrip interdigital bandstop filters","volume":"51","author":"Yang","year":"2004","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"ref_29","first-page":"356049","article-title":"Compact bandstop filters with extended upper passbands","volume":"2008","author":"Alkanhal","year":"2008","journal-title":"Act. Passiv. Electron. Components"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"258","DOI":"10.13164\/re.2016.0258","article-title":"A Compact multiband BPF using step-impedance resonators with interdigital capacitors","volume":"25","author":"Meesomklin","year":"2016","journal-title":"Radioengineering"},{"key":"ref_31","first-page":"21","article-title":"ver. 2018","volume":"19","author":"Studio","year":"2018","journal-title":"CST AG Bad Nauheimer Str"},{"key":"ref_32","unstructured":"Landers, T.L., Brown, W.D., Fant, E., Malstrom, E.M., and Schmitt, N.M. (1994). Electronics Manufacturing Processes, Prentice Hall."},{"key":"ref_33","unstructured":"Sunstone (2020, April 03). Manufacturing Tolerances. August 2019. Available online: https:\/\/www.sunstone.com\/pcb-manufacturing-capabilities\/tolerances."},{"key":"ref_34","unstructured":"Wadell, B.C. (1991). Transmission Line Design Handbook, Artech House."},{"key":"ref_35","unstructured":"Shukla, V. (2009). Signal Integrity for PCB Designers, Reference Designer."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1109\/TMTT.1987.1133722","article-title":"Two methods for the measurement of substrate dielectric constant","volume":"35","author":"Das","year":"1987","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_37","unstructured":"Hammerstad, E., and Jensen, O. (1980, January 28\u201330). Accurate models for microstrip computer-aided design. Proceedings of the 1980 IEEE MTT-S International Microwave Symposium Digest, Washington, DC, USA."},{"key":"ref_38","unstructured":"(2017). MATLAB version 9.3.0.713579 (R2017b), The Mathworks, Inc."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Che, W., Martin, M., Pocklassery, G., Kajuluri, V., Saqib, F., and Plusquellic, J. (2017). A privacy-preserving, mutual PUF-based authentication protocol. Cryptography, 1.","DOI":"10.3390\/cryptography1010003"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1109\/MDT.2010.25","article-title":"Secure and Robust Error Correction for Physical Unclonable Functions","volume":"27","author":"Yu","year":"2010","journal-title":"IEEE Des. Test Comput."},{"key":"ref_41","unstructured":"Heinola, J.M., Latti, K.P., Silventoinen, P., Strom, J.P., and Kettunen, M. (2004, January 24\u201326). A new method to measure dielectric constant and dissipation factor of printed circuit board laminate material in function of temperature and frequency. Proceedings of the 9th International Symposium on Advanced Packaging Materials: Processes, Properties and Interfaces (IEEE Cat. No. 04TH8742), Atlanta, GA, USA."}],"container-title":["Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2410-387X\/4\/2\/11\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:15:36Z","timestamp":1760174136000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2410-387X\/4\/2\/11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,4]]},"references-count":41,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,6]]}},"alternative-id":["cryptography4020011"],"URL":"https:\/\/doi.org\/10.3390\/cryptography4020011","relation":{},"ISSN":["2410-387X"],"issn-type":[{"type":"electronic","value":"2410-387X"}],"subject":[],"published":{"date-parts":[[2020,4,4]]}}}