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Patrick Loughlin

Professor
Dr. Loughlin's Website Bioengineering Department

overview

Patrick Loughlin is a Professor and Associate Chair of Bioengineering. His research interests include sensory integration in motor control; control of human movement; sensory substitution, haptics, vibrotactile feedback; brain-computer interfaces; computational models; and signal processing. He was awarded the Chancellor’s Distinguished Research Award at the University of Pittsburgh in 1999, and received young investigator awards from the National Science Foundation (CAREER, 1996) and the Office of Naval Research (YIP, 1998). Dr. Loughlin is a Fellow of the American Institute for Medical and Biological Engineering (AIMBE), the Acoustical Society of America (ASA), and the Institute of Electrical and Electronics Engineers (IEEE).



For an accurate, up-to-date listing of my publications, please go to my google scholar profile:
https://scholar.google.com/citations?hl=en&user=wrzjz6gAAAAJ

about

(1999) Chancellor's Distinguished Research Award, University of Pittsburgh.

(1998) Board of Visitors Faculty Award, School of Engineering.

(1998) ONR Young Investigator Award.

(1996) NSF Faculty Early Career Development (CAREER) Award.

PhD, Electrical Engineering, University of Washington, 1992

MS, Bioengineering, University of Utah, 1988

BS, Biomedical Engineering, Boston University, 1985

Mayato, R.S., Loughlin, P., & Cohen, L. (2022). Generating M-Indeterminate Probability Densities by Way of Quantum Mechanics. Journal of Theoretical Probability, 35(3), 1537-1555.Springer Nature. doi: 10.1007/s10959-021-01121-5.

Lin, C.C., Whitney, S.L., Loughlin, P.J., Furman, J.M., Redfern, M.S., Sienko, K.H., & Sparto, P.J. (2018). The Use of Vibrotactile Feedback During Dual-Task Standing Balance Conditions in People With Unilateral Vestibular Hypofunction. Otol Neurotol, 39(5), e349-e356.Wolters Kluwer. doi: 10.1097/MAO.0000000000001764.

Quick, K.M., Mischel, J.L., Loughlin, P.J., & Batista, A.P. (2018). The critical stability task: quantifying sensory-motor control during ongoing movement in nonhuman primates. J Neurophysiol, 120(5), 2164-2181.American Physiological Society. doi: 10.1152/jn.00300.2017.

Sala Mayato, R., Loughlin, P., & Cohen, L. (2018). M-indeterminate distributions in quantum mechanics and the non-overlapping wave function paradox. PHYSICS LETTERS A, 382(40), 2914-2921.Elsevier. doi: 10.1016/j.physleta.2018.08.012.

Rosso, A.L., Cenciarini, M., Sparto, P.J., Loughlin, P.J., Furman, J.M., & Huppert, T.J. (2017). Neuroimaging of an attention demanding dual-task during dynamic postural control. Gait Posture, 57, 193-198.Elsevier. doi: 10.1016/j.gaitpost.2017.06.013.

Ben-Benjamin, J.S., Cohen, L., & Loughlin, P.J. (2015). A phase space approach to wave propagation with dispersion. J Acoust Soc Am, 138(2), 1122-1131.Acoustical Society of America (ASA). doi: 10.1121/1.4926562.

Hamschin, B.M., & Loughlin, P.J. (2015). Model-based waveform design for optimal detection: A multi-objective approach to dealing with incomplete a priori knowledge. J Acoust Soc Am, 138(5), 3220-3230.Acoustical Society of America (ASA). doi: 10.1121/1.4935519.

Lin, C.C., Whitney, S.L., Loughlin, P.J., Furman, J.M., Redfern, M.S., Sienko, K.H., & Sparto, P.J. (2015). The effect of age on postural and cognitive task performance while using vibrotactile feedback. J Neurophysiol, 113(7), 2127-2136.American Physiological Society. doi: 10.1152/jn.00083.2014.

Karim, H.T., Sparto, P.J., Aizenstein, H.J., Furman, J.M., Huppert, T.J., Erickson, K.I., & Loughlin, P.J. (2014). Functional MR imaging of a simulated balance task. Brain Res, 1555, 20-27.Elsevier. doi: 10.1016/j.brainres.2014.01.033.

Cohen, L., & Loughlin, P. (2013). The conditional Weyl transform and its generalization. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 4(1), 1-12.Springer Nature. doi: 10.1007/s11868-012-0059-4.

Hamschin, B., & Loughlin, P.J. (2013). Time and frequency constrained sonar signal design for optimal detection of elastic objects. J Acoust Soc Am, 133(4), 2169-2179.Acoustical Society of America (ASA). doi: 10.1121/1.4794370.

Cenciarini, M., Loughlin, P.J., Sparto, P.J., & Redfern, M.S. (2010). Stiffness and damping in postural control increase with age. IEEE Trans Biomed Eng, 57(2), 267-275.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/TBME.2009.2031874.

Loughlin, P. (2010). Local duration-bandwidth product of propagating pulses. JOURNAL OF MODERN OPTICS, 57(19), 1944-1948.Taylor & Francis. doi: 10.1080/09500340.2010.508136.

O'Connor, K.W., Loughlin, P.J., Redfern, M.S., & Sparto, P.J. (2008). Postural adaptations to repeated optic flow stimulation in older adults. Gait Posture, 28(3), 385-391.Elsevier. doi: 10.1016/j.gaitpost.2008.01.010.

Loughlin, P.J. (2007). Comments on "The generalized Wiener process for colored noise". IEEE SIGNAL PROCESSING LETTERS, 14(10), 766-769.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/LSP.2007.898318.

Loughlin, P. (2006). Time-varying spectral approximation of filtered signals. IEEE SIGNAL PROCESSING LETTERS, 13(10), 604-607.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/LSP.2006.875349.

Musolino, M.C., Loughlin, P.J., Sparto, P.J., & Redfern, M.S. (2006). Spectrally similar periodic and non-periodic optic flows evoke different postural sway responses. Gait Posture, 23(2), 180-188.Elsevier. doi: 10.1016/j.gaitpost.2005.02.008.

Loughlin, P.J., & Cohen, L. (2005). A Wigner approximation method for wave propagation (L). JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 118(3), 1268-1271.Acoustical Society of America (ASA). doi: 10.1121/1.2001488.

Mahboobin, A., Loughlin, P.J., Redfern, M.S., & Sparto, P.J. (2005). Sensory re-weighting in human postural control during moving-scene perturbations. Exp Brain Res, 167(2), 260-267. doi: 10.1007/s00221-005-0053-7.

Loughlin, P.J., & Cohen, L. (2004). The uncertainty principle: Global, local, or both?. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 52(5), 1218-1227.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/TSP.2004.826160.

Peterka, R.J., & Loughlin, P.J. (2004). Dynamic regulation of sensorimotor integration in human postural control. J Neurophysiol, 91(1), 410-423.American Physiological Society. doi: 10.1152/jn.00516.2003.

Sparto, P.J., Jasko, J.G., & Loughlin, P.J. (2004). Detecting postural responses to sinusoidal sensory inputs: a statistical approach. IEEE Trans Neural Syst Rehabil Eng, 12(3), 360-366.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/TNSRE.2004.834203.

Cohen, L., & Loughlin, P. (2002). Generalized Wigner distributions, moments and conditional correspondence rules. JOURNAL OF MODERN OPTICS, 49(3-4), 539-560.Taylor & Francis. doi: 10.1080/09500340110087642.

Çakrak, F., & Loughlin, P.J. (2001). Multiple window time-varying spectral analysis. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 49(2), 448-453.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/78.902129.

Loughlin, P.J., & Redfern, M.S. (2001). Spectral characteristics of visually induced postural sway in healthy elderly and healthy young subjects. IEEE TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING, 9(1), 24-30.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/7333.918273.

Loughlin, P.J., & Davidson, K.L. (2000). Instantaneous kurtosis. IEEE SIGNAL PROCESSING LETTERS, 7(6), 156-159.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/97.844637.

Cohen, L., Loughlin, P., & Vakman, D. (1999). On an ambiguity in the definition of the amplitude and phase of a signal. SIGNAL PROCESSING, 79(3), 301-307.Elsevier. doi: 10.1016/S0165-1684(99)00103-6.

Emresoy, M.K., & Loughlin, P.J. (1999). Weighted least-squares implementation of Cohen-Posch time-frequency distributions with specified conditional and joint moment constraints. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 47(3), 893-900.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/78.747799.

Loughlin, P.J. (1999). Spectrographic measurement of instantaneous frequency and the time-dependent weighted frequency. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 105(1), 264-274.Acoustical Society of America (ASA). doi: 10.1121/1.424583.

Nho, W., & Loughlin, P.J. (1999). When is instantaneous frequency the average frequency at each time?. IEEE SIGNAL PROCESSING LETTERS, 6(4), 78-80.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/97.752059.

Emresoy, M., & Loughlin, P.J. (1998). Weighted least squares Cohen-Posch time-frequency distributions. IEEE Trans. Sig. Process., 46(3), 753-757.

Emresoy, M.K., & Loughlin, P.J. (1998). Weighted least squares implementation of Cohen-Posch time-frequency distributions. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 46(3), 753-757.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/78.661340.

Loughlin, P.J. (1998). Do bounded signals have bounded amplitudes?. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 9(4), 419-424.Springer Nature. doi: 10.1023/A:1008470710787.

Loughlin, P.J. (1997). Cohen-Posch (positive) time-frequency distributions: Developments and applications. Applied Signal Processing, 4(3), 122-130.

Loughlin, P.J., & Tacer, B. (1997). Comments on the interpretation of instantaneous frequency. IEEE SIGNAL PROCESSING LETTERS, 4(5), 123-125.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/97.575553.

Loughlin, P.J., & Tacer, B. (1997). Instantaneous frequency and the conditional mean frequency of a signal. SIGNAL PROCESSING, 60(2), 153-162.Elsevier BV. doi: 10.1016/S0165-1684(97)00069-8.

Loughlin, P.J., & Tacer, B. (1996). On the amplitude- and frequency-modulation decomposition of signals. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 100(3), 1594-1601.Acoustical Society of America (ASA). doi: 10.1121/1.416061.

Loughlin, P., Pitton, J., & Hannaford, B. (1994). Approximating Time-Frequency Density Functions via Optimal Combinations of Spectrograms. IEEE SIGNAL PROCESSING LETTERS, 1(12), 199-202.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/97.338752.

LOUGHLIN, P.J., PITTON, J.W., & ATLAS, L.E. (1994). CONSTRUCTION OF POSITIVE TIME-FREQUENCY DISTRIBUTIONS. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 42(10), 2697-2705.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/78.324735.

Pitton, J.W., Atlas, L.E., & Loughlin, P.J. (1994). Applications of Positive Time-Frequency Distributions to Speech Processing. IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2(4), 554-566.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/89.326614.

LOUGHLIN, P.J., PITTON, J.W., & ATLAS, L.E. (1993). BILINEAR TIME-FREQUENCY REPRESENTATIONS - NEW INSIGHTS AND PROPERTIES. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 41(2), 750-767.Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/78.193215.

Loughlin, P.J., Bowes, W.A., & Westenskow, D.R. (1989). An oil-based model of inhalation anesthetic uptake and elimination. Anesthesiology, 71(2), 278-282.Wolters Kluwer. doi: 10.1097/00000542-198908000-00016.

Loughlin, P.J., & Cohen, L. (2016). Pulse propagation in wavelet phase space. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 9844, (p. 98440k-98440k-5).SPIE, the international society for optics and photonics. doi: 10.1117/12.2223992.

Gomatam, V.T., & Loughlin, P. (2015). Enhanced target versus clutter discrimination using time-frequency (LTV) filters. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 9476, (p. 94760g).SPIE, the international society for optics and photonics. doi: 10.1117/12.2177253.

Loughlin, P.J. (2015). Misconceptions about instantaneous frequency, and complex signal representations through pole-zero manipulations. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 9476, (p. 947606).SPIE, the international society for optics and photonics. doi: 10.1117/12.2177266.

Gomatam, V.T., & Loughlin, P. (2014). Time-frequency filtering for classifying targets in nonstationary clutter. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 9090, (p. 90900e-90900e-7).SPIE, the international society for optics and photonics. doi: 10.1117/12.2050526.

Loughlin, P.J. (2014). Instantaneous frequency and the Wigner-Gabor signal. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 9090, (p. 90900f-90900f-7).SPIE, the international society for optics and photonics. doi: 10.1117/12.2050766.

Quick, K.M., Card, N.S., Whaite, S.M., Mischel, J., Loughlin, P., & Batista, A.P. (2014). Assessing vibrotactile feedback strategies by controlling a cursor with unstable dynamics. In Annu Int Conf IEEE Eng Med Biol Soc, 2014, (pp. 2589-2592).Institute of Electrical and Electronics Engineers (IEEE).United States. doi: 10.1109/EMBC.2014.6944152.

Gomatam, V.T., & Loughlin, P. (2013). Sonar signal feature extraction for target recognition in range-dependent environments. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 8744, (p. 874411-874411-5).SPIE, the international society for optics and photonics. doi: 10.1117/12.2016157.

Gomatam, V., & Loughlin, P. (2012). Dispersion-invariant features for classification of objects from their acoustic backscatter in a range-dependent channel. In Proceedings of SPIE--the International Society for Optical Engineering, 8391, (p. 83910d-83910d-8).SPIE, the international society for optics and photonics. doi: 10.1117/12.918912.

Gomatam, V.T., & Loughlin, P.J. (2012). A Wigner phase space approximation for range-dependent propagation. In 11th European Conference on Underwater Acoustics 2012, ECUA 2012, 34 1(PART 3), (pp. 109-117).

Gomatam, V.T., & Loughlin, P. (2011). Impact of range dependent propagation on classification of underwater objects by their sonar backscatter. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 8049, (p. 80490e-80490e-8).SPIE, the international society for optics and photonics. doi: 10.1117/12.884160.

Hamschin, B.M., & Loughlin, P.J. (2011). Waveform design with time and frequency constraints for optimal detection of elastic objects. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 8049, (p. 80490c-80490c-14).SPIE, the international society for optics and photonics. doi: 10.1117/12.884134.

Loughlin, P., Mahboobin, A., & Furman, J. (2011). Designing vibrotactile balance feedback for desired body sway reductions. In Annu Int Conf IEEE Eng Med Biol Soc, 2011, (pp. 1310-1313).Institute of Electrical and Electronics Engineers (IEEE).United States. doi: 10.1109/IEMBS.2011.6090308.

Mahboobin, A., Cenciarini, M., Redfern, M.S., & Loughlin, P.J. (2011). Model-Based Investigation of Ankle Stiffness Control Versus Active Feedback Control During Quiet Standing. In ASME 2011 Summer Bioengineering Conference, Parts A and B, (PARTS A AND B), (pp. 1229-1230).ASME International. doi: 10.1115/sbc2011-53425.

Hamschin, B., & Loughlin, P. (2010). Sonar Waveform Design for Optimum Target Detection: The Impact of Object Burial State. In OCEANS'10 IEEE SYDNEY, (pp. 1-6).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/oceanssyd.2010.5603599.

Hamschin, B., & Loughlin, P. (2010). Optimal time and frequency domain waveform design for target detection. In Sadjadi, F.A., Mahalanobis, A., Chodos, S.L., Thompson, W.E., Casasent, D.P., & Chao, T.H. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 7696, (p. 76960f-76960f-10).SPIE, the international society for optics and photonics. doi: 10.1117/12.850594.

Hamschin, B., & Loughlin, P. (2010). Application of a Minimum Probability of Error Classifier with Linear Time-Varying Pre-Filters for Buried Target Recognition. In OCEANS 2010 MTS/IEEE SEATTLE, (pp. 1-7).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/oceans.2010.5664353.

Okopal, G., & Loughlin, P. (2010). Moment feature variability in uncertain propagation channels. In IET SIGNAL PROCESSING, 4(4), (pp. 457-464).Institution of Engineering and Technology (IET). doi: 10.1049/iet-spr.2009.0083.

Cenciarini, M., Loughlin, P.J., Sparta, P.J., & Redfern, M.S. (2009). Medial-Lateral Postural Control in Older Adults Exhibits Increased Stiffness and Damping. In Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2009, (pp. 7006-7009).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/iembs.2009.5333838.

Loughlin, P. (2009). Conditional and joint positive time-frequency distributions: a brief overview. In Schmalz, M.S., Ritter, G.X., Barrera, J., Astola, J.T., & Luk, F.T. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 7444, (p. 74440y-74440y-12).SPIE, the international society for optics and photonics. doi: 10.1117/12.845988.

Okopal, G., & Loughlin, P. (2009). Moments of a wave propagating with dispersion and damping. In Sadjadi, F.A., & Mahalanobis, A. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 7335, (p. 733507-733507-8).SPIE, the international society for optics and photonics. doi: 10.1117/12.818993.

Okopal, G., & Loughlin, P.J. (2009). Moment feature variability in uncertain propagation channels. In Schmalz, M.S., Ritter, G.X., Barrera, J., Astola, J.T., & Luk, F.T. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 7444, (p. 74440u-74440u-11).SPIE, the international society for optics and photonics. doi: 10.1117/12.834176.

Cohen, L., & Loughlin, P.J. (2007). Phase Space Approach and Approximations for Wave Propagation. In OCEANS 2007, (pp. 1-5).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/oceans.2007.4449249.

Cohen, L., Davidson, K., & Loughlin, P. (2007). Constructing densities from moments. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6566, (p. 65660h-65660h-12).SPIE, the international society for optics and photonics. doi: 10.1117/12.720651.

Cohen, L., Loughlin, P., & Davidson, K. (2007). Construction of time-frequency representations from moments. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6697, (p. 66970b-66970b-8).SPIE, the international society for optics and photonics. doi: 10.1117/12.740191.

Okopal, G., & Loughlin, P. (2007). Propagation-invariant classification of shallow water sonar signals. In Proceedings of the Institute of Acoustics, 29(PART 6), (pp. 105-113).

Okopal, G., & Loughlin, P. (2007). Feature extraction for classification of signals propagating in channels with dispersion and dissipation. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6566, (p. 65660g-65660g-11).SPIE, the international society for optics and photonics. doi: 10.1117/12.720074.

Okopal, G., & Loughlin, P.J. (2007). Propagation-Invariant Classification of Signals in Channels with Dispersion and Damping. In OCEANS 2007, (pp. 1-8).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/oceans.2007.4449248.

Loughlin, P.J. (2006). Time-frequency approximations with applications to filtering, modulation, and propagation. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6313, (p. 63130s-63130s-9).SPIE, the international society for optics and photonics. doi: 10.1117/12.684023.

Loughlin, P.J. (2006). Effect of convolution and modulation on the time-varying spectrum of a signal, with application to target recognition. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6234, (p. 62340k-62340k-8).SPIE, the international society for optics and photonics. doi: 10.1117/12.668258.

Mahboobin, A., Loughlin, P., & Redfern, M. (2006). A Model-Based Approach To Attention and Sensory Integration in Postural Control of Older Adults. In Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2006, (pp. 1315-1318).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/iembs.2006.260734.

Mahboobin, A., Loughlin, P., & Redfern, M. (2006). A model-based approach to attention and sensory integration in postural control of older adults. In Conf Proc IEEE Eng Med Biol Soc, 2006, (pp. 1315-1318).IEEE.United States. doi: 10.1109/IEMBS.2006.260734.

Okopal, G., Loughlin, P., & Cohen, L. (2006). Recognition of propagating vibrations and invariant features for classification. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 6234, (p. 623415-623415-14).SPIE, the international society for optics and photonics. doi: 10.1117/12.668253.

Cohen, L., & Loughlin, P.J. (2004). Stationary phase approximation: a modification. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 5426, (pp. 227-233).SPIE, the international society for optics and photonics. doi: 10.1117/12.542447.

Loughlin, P., & Cohen, L. (2004). A joint distribution approach to wave propagation and array processing. In 2004 Sensor Array and Multichannel Signal Processing Workshop, (pp. 576-579).

Loughlin, P.J., & Cohen, L. (2004). Phase-space approach to wave propagation with dispersion and damping. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 5559, (pp. 221-231).SPIE, the international society for optics and photonics. doi: 10.1117/12.564249.

Loughlin, P.J., & Cohen, L. (2004). Moment features invariant to dispersion. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 5426, (pp. 234-246).SPIE, the international society for optics and photonics. doi: 10.1117/12.542424.

Loughlin, P.J., & Walia, A. (2004). A method to identify and restore a class of aliased signals. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 5559, (pp. 184-191).SPIE, the international society for optics and photonics. doi: 10.1117/12.564246.

Cohen, L., & Loughlin, P.J. (2003). The marginals and time-frequency distributions. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 5205, (pp. 59-74).SPIE, the international society for optics and photonics. doi: 10.1117/12.513899.

Hahn, S.L. (2003). On the uniqueness of the definition of the amplitude and phase of the analytic signal. In Signal Processing, 83(8), (pp. 1815-1820).Elsevier. doi: 10.1016/s0165-1684(03)00073-2.

French, M., Loughlin, P., & Cohen, L. (2002). Cross time frequency spectra applied to automotive brake noise. In Proceedings of SPIE - The International Society for Optical Engineering, 4753 I, (pp. 457-460).

Loughlin, P., & Cohen, L. (2002). Local properties of dispersive pulses. In JOURNAL OF MODERN OPTICS, 49(14-15), (pp. 2645-2655).Taylor & Francis. doi: 10.1080/0950034021000016784.

Loughlin, P.J. (2002). Local spectral and spatial frequency moments of shallow-water sound propagation. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 4791, (pp. 51-56).SPIE, the international society for optics and photonics. doi: 10.1117/12.455784.

Mahboobin, A., Beck, C.L., Moeinzadeh, M.H., & Loughlin, P. (2002). Analysis and Validation of A Human Postural Control Model. In Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 5, (pp. 4122-4128).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/acc.2002.1024576.

Loughlin, P.J. (2001). What are the time-frequency moments of a signal?. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 4474, (pp. 35-44).SPIE, the international society for optics and photonics. doi: 10.1117/12.448676.

Loughlin, P.J. (2001). Time-frequency moments, eyelets, and machine faults. In Szu, H.H., Donoho, D.L., Lohmann, A.W., Campbell, W.J., & Buss, J.R. (Eds.). In Proceedings of SPIE--the International Society for Optical Engineering, 4391, (pp. 44-50).SPIE, the international society for optics and photonics. doi: 10.1117/12.421222.

Jang, S., & Loughlin, P.J. (2000). Use of instantaneous bandwidth for excising AM-FM jammers in direct-sequence spread-spectrum communication systems. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 4116, (pp. 80-90).SPIE, the international society for optics and photonics. doi: 10.1117/12.406532.

Loughlin, P.J., & Davidson, K.L. (2000). Instantaneous spectral skew and kurtosis. In IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP, (pp. 574-578).

Cakrak, F., & Loughlin, P.J. (1999). A new multi-window time-frequency approach yielding accurate low-order conditional moments. In 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 2, (p. 1652-1656 vol.2).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/acssc.1999.832028.

French, M., Cohen, L., & Loughlin, P. (1999). Application of time-frequency methods to sound quality analysis in automobiles. In Proceedings of SPIE - The International Society for Optical Engineering, 3807, (pp. 546-551).

French, M., Loughlin, P., Cohen, L., & Cakrak, F. (1999). Time-frequency analysis of automobile road data. In Proceedings of the International Modal Analysis Conference - IMAC, 1, (pp. 391-396).

Loughlin, P.J., & Davidson, K.L. (1999). Instantaneous bandwidth of multicomponent signals. In Proceedings of SPIE - The International Society for Optical Engineering, 3807, (pp. 610-624).

Nelson, D., Cristobal, G., Kober, V., Cakrak, F., Loughlin, P., & Cohen, L. (1999). Denoising using time-frequency and image processing methods. In Proceedings of SPIE - The International Society for Optical Engineering, 3807, (pp. 564-581).

Yoo, S., Loughlin, P.J., Redfern, M.S., & Furman, J.M. (1999). Postural sway response to chirp moving scene perturbations. In Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 2, (p. 973).

Cakrak, F., & Loughlin, P.J. (1998). Instantaneous frequency estimation of polynomial phase signals. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 549-552).

Cakrak, F., & Loughlin, P.L. (1998). Multiple window non-linear time-varying spectral analysis. In 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 4, (p. 2409-2412 vol.4).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/icassp.1998.681636.

Emresoy, M.K., & Loughlin, P.J. (1998). Weighted least-squares implementation of Cohen-Posch time frequency distributions with specified conditional and joint moment constraints. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 305-308).

Loughlin, P.J. (1998). Moments and maximum entropy densities in time frequency. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 3461, (pp. 110-119).SPIE, the international society for optics and photonics. doi: 10.1117/12.325672.

Loughlin, P.J. (1998). Local spectral and temporal characterizations of a wave. In Sadjadi, F.A. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 3371, (pp. 552-559).SPIE, the international society for optics and photonics. doi: 10.1117/12.323873.

Loughlin, P.J. (1998). Time-dependent weighted average instantaneous frequency. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 97-100).

Loughlin, P.J., & Davidson, K.L. (1998). Positive local variances of time-frequency distributions and local uncertainty. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 541-544).

Shah, S.I., El-Jaroudi, A., Loughlin, P.J., & Chaparro, L.F. (1998). Signal synthesis and positive time frequency distributions. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 17-19).

Tacer, B., & Loughlin, P. (1998). Training-based approach to classification of unknown transients with unknown arrival time and Doppler shift. In Conference Record of the Asilomar Conference on Signals, Systems and Computers, 1, (pp. 887-891).

Loughlin, P., Groutage, D., & Rohrbaugh, R. (1997). Time-frequency analysis of acoustic transients. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 3, (pp. 2125-2128).

Loughlin, P.J. (1997). Time-varying frequencies of a signal. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 3162, (pp. 109-122).SPIE, the international society for optics and photonics. doi: 10.1117/12.284182.

Loughlin, P.J., & Bernard, G.D. (1997). The Applicability of Time-Frequency Analysis to Machine- and Process-Monitoring. In SAE Technical Papers, 1, (pp. 243-252).SAE International. doi: 10.4271/972246.

Loughlin, P.J., Redfern, M.S., & Tacer, B. (1996). Time-varying characteristics of postural sway differ between balance impaired and unimpaired populations. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 3, (pp. 1439-1442).

Tacer, B., & Loughlin, P.J. (1996). What are the joint time-frequency moments of a signal?. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 3, (pp. 1427-1430).

Tacer, B., & Loughlin, P.J. (1996). Time-frequency-based classification. In Luk, F.T. (Ed.). In Proceedings of SPIE--the International Society for Optical Engineering, 2846, (pp. 186-192).SPIE, the international society for optics and photonics. doi: 10.1117/12.255432.

Loughlin, P.J., Pitton, J.W., & Hannaford, B. (1995). Fast approximations to positive time-frequency distributions, with applications. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 2, (pp. 1009-1011).

Tacer, B., & Loughlin, P.J. (1995). Instantaneous frequency and time-frequency distributions. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 2, (pp. 1013-1016).

Detka, C.S., Loughlin, P., & El-Jaroudi, A. (1994). On Combining Evolutionary Spectral Estimates. In IEEE Seventh SP Workshop on Statistical Signal and Array Processing, (pp. 243-246).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/ssap.1994.572489.

Loughlin, P., Schumann, T., Redfern, M., Furman, J., Chaparro, L., & El-Jaroudi, A. (1994). Time-frequency analysis of postural sway. In 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 1, (p. 378-382 vol.1).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/acssc.1994.471480.

Tacer, B., & Loughlin, P. (1994). Positive time-scale distributions. (pp. 201-204).

Pitton, J.W., Atlas, L.E., & Loughlin, P.J. (1993). Deconvolution for positive time-frequency distributions. In Conference Record of the Asilomar Conference of Signals, Systems & Computers, 2, (pp. 1450-1454).

Pitton, J.W., Loughlin, P.J., & Atlas, L.E. (1993). Positive time-frequency distributions via maximum entropy deconvolution of the evolutionary spectrum. In 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 4, (p. 436-439 vol.4).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/icassp.1993.319688.

Loughlin, P.J., Pitton, J.W., & Atlas, L.E. (1992). An information-theoretic approach to positive time-frequency distributions. In 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 5, (p. 125-128 vol.5).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/icassp.1992.226642.

Loughlin, P.J., Pitton, J.W., & Atlas, L.E. (1992). Proper time-frequency energy distributions and the Heisenberg uncertainty principle. In [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, (pp. 151-154).Institute of Electrical and Electronics Engineers (IEEE). doi: 10.1109/tftsa.1992.274214.

Atlas, L.E., Fang, J., Loughlin, P., & Music, W. (1991). Resolution advantages of quadratic signal processing. In Proceedings of SPIE - The International Society for Optical Engineering, 1566, (pp. 134-143).

Atlas, L.E., Loughlin, P.J., & Pitton, J.W. (1991). Truly nonstationary techniques for the analysis and display of voiced speech. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, 1, (pp. 433-436).

Atlas, L.E., Loughlin, P.J., & Pitton, J.W. (1991). A theory of desirable properties for preprocessors for speech recognizers. In IEEE Pacific Rim Conference on Communications, Computers and Signal Processing. Conference Proceedings, (pp. 803-806).

Fox, W.L.J., Luby, J.C., Pitton, J.W., Loughlin, P.J., & Atlas, L.E. (1991). Sonar and radar range-Doppler processing using a cone-shaped kernel time-frequency representation. In Conference Record - Asilomar Conference on Circuits, Systems & Computers, 2, (pp. 1079-1083).

Loughlin, P.J., Pitton, J.W., & Atlas, L.E. (1991). New properties to alleviate interference in time-frequency representations. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, 5, (pp. 3205-3208).

Pitton, J.W., Fox, W.L.J., Atlas, L.E., Luby, J.C., & Loughlin, P.J. (1991). Range-Doppler processing with the cone kernel time-frequency representation. In IEEE Pacific Rim Conference on Communications, Computers and Signal Processing. Conference Proceedings, (pp. 799-802).

Atlas, L., Koolman, W., Loughlin, P., & Cole, R. (1990). New stationary techniques for the analysis and display of speech transients. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 1, (pp. 385-388).