Patrick Loughlin

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. OTOLOGY & NEUROTOLOGY, 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. JOURNAL OF NEUROPHYSIOLOGY, 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. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 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. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 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. JOURNAL OF NEUROPHYSIOLOGY, 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 RESEARCH, 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. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 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 Transactions on Biomedical Engineering, 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. JOURNAL OF NEUROPHYSIOLOGY, 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 TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING, 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 Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 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 Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 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 2006 International Conference of the IEEE Engineering in Medicine and Biology Society, 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).