Contains research objectives and summary of research.Joint Services Electronics Program (Contract DAAB07-71-C-0300)National Science Foundation (Grant GX-36331

Baggeroer, Arthur B.

Leverette, Steven J.

Metzger, L. S.

Moura, J. M. F.

Parl, Steen A.

Pusey, L. C.

Theriault, Kenneth B.

Contains research objectives and summary of research on four research projects and a list of theses submitted.Joint Services Electronics Program (Contract DAAB07-74-C-0630)National Science Foundation (Grant GX-36331)Woods Hole Oceanographic Institution Purchase Order No. 3600

Moura, José M. F.

Metzger, Louis S.

Pusey, Leroy C.

DSpace@MIT

XV. DETECTION AND ESTIMATION THEORYAcademic Research StaffProf. Arthur B. BaggeroerGraduate StudentsSteven J. Leverette Jose M. F. Moura Leroy C. PuseyLouis S. Metzger Steen A. Parl Kenneth B. TheriaultRESEARCH OBJECTIVES AND SUMMARY OF RESEARCH JSEP1. Tracking of Narrow-Band Space/Time Signals with Adaptive ArraysJoint Services Electronics Program (Contract DAAB07-74-C-0630)Jose" M. F. Moura, Louis S. Metzger, Arthur B. BaggeroerIn many applications, such as passive sonar, location of radio sources, and buoytracking, we want to determine the position of a narrow-band signal source when thereis no active ranging information. To do this we need to exploit either the wave front cur-vature of the signal when observed across a large stationary or synthetic array, or theDoppler shifts induced by a constrained motion of the source. Accuracy bounds for thelocation of a passive source, which indicate the tradeoffs among array size, sourcemotion, observation time, and signal-to-noise levels, have been determined and will bethe subject of a forthcoming thesis by J. M. F. Moura. The space/time structure ofsignals from a broadband moving source observed across an array are being investigatedby L. S. Metzger.2. Detection and Estimation Theory MethodsJoint Services Electronics Program (Contract DAAB07-74-C-0630)Leroy C. Pusey, Steen A. Parl, Arthur B. BaggeroerGeneralizations of the maximum entropy method using optimal filtering concepts ofspectral analysis have indicated fundamental results on the problems of extending acovariance function. These generalizations have also been found to be applicable toproblems in reflection seismology and transmission lines. These results will be pre-sented in a forthcoming thesis by L. C. Pusey. Generalization of these results to spatialprocesses is now being considered.An investigation concerning the estimation of a distributed field using its dynamicsand boundary conditions has been completed and a doctoral thesis has been submitted byS. A. Parl. These results have been used to formulate the problem of estimating inter-nal waves in the ocean. JSEP3. Seismic Data Processing for the IDOE East Atlantic ContinentalMargin ProgramNational Science Foundation (Grant GX-36331)Kenneth B. Theriault, Steven J. Leverette, Arthur B. BaggeroerAn investigation comparing the results of various processing methods when syntheticseismograms are used has been completed and a Master's thesis has been submitted byPR No. 115 225(XV. DETECTION AND ESTIMATION THEORY)K. B. Theriault. The synthetic signals were generated using a layered earth modelwhich included attenuation and a source signal which was recorded during the research.An analysis of processing methods derived by using scattering function methods has beencompleted by A. B. Baggeroer. The methods have been compared when used upon datataken during the International Decade of Ocean Exploration African cruise.References1. A. B. Baggeroer and H. Hoskins, "Seismic Filter Design Using Scattering FunctionTheory and Source Monitor Signals," Woods Hole Oceanographic Institution Ref. No.74-69, November 1974.4. Multichannel Array for Seismic Data AquisitionWoods Hole Oceanographic Institution Purchase Order No. 36004Kenneth B. Theriault, Steven J. Leverette, Arthur B. BaggeroerA six-channel array for acquiring seismic data is being constructed at Woods HoleOceanographic Institution. Through a joint program between M. I. T. and W. H. O. I. thearray and processing program will be tested in a cruise off Georges Bank in the summer- .-- reflectors velocity/depth (rms)lineard (meters) scaleConventional 300 350 400 450 500 550 600 650 7001 300 /secE 0meters/sec1400m/sec -1500m/sec -1600m/sec -1700m/sec - .1800m/seclineard (meters) scaleHigh Resolution 300 350 400 450 500 550 600 650 7001300m/sec Tmeters/se F40m/se c500m/sec - 11500m/sec -1600m/sec -1700m/sec -1800m/sec - IFig. XV-1. Comparison of conventional and high-resolution velocity/depth spectraon an expanded linear scale near reflectors.PR No. 115 226(XV. DETECTION AND ESTIMATION THEORY)of 1975. Novel algorithms for estimating velocity spectra based upon high-resolutionmethods have been developed. A comparison between conventional and high-resolutionprocedures for estimating the velocity/depth spectra of a seismic model with reflectorsat (1500 m/sec, 400 m) and (1650 m/sec, 600 m) are shown in Fig. XV-1.References1. A. B. Baggeroer, "High-Resolution Velocity/Depth Spectra Estimation for SeismicProfiling," Proc. IEEE International Conference on Engineering in the Ocean Envi-ronment, Halifax, Nova Scotia, August 21-23, 1974, pp. 201-211.5. Theses SubmittedJohn Moffett, "The Effects of Measurement Errors on Data Adaptive Spectral AnalysisMethods," Department of Electrical Engineering, M.I.T., May 10, 1974, Masterof Science.Kenneth B. Theriault, "Optimum Arrival-Time Estimation in Exploration Seismology,"Department of Electrical Engineering, M.I. T., September 25, 1974, Master ofScience.Steen A. Parl, "Filtering for Distributed Parameter System Using Semigroup Theory,"Department of Electrical Engineering, M.I. T., November 27, 1974, Doctor ofPhilosophy.PR No. 115 227

Detection and Estimation Theory

XIV. DETECTION AND ESTIMATION THEORYAcademic Research StaffProf. A. B. BaggeroerProf. H. L. Van TreesGraduate StudentsS. J. Leverette J. W. Moffett L. C. PuseyL. S. Metzger J. M. F. Moura K. B. TheriaultS. A. ParlRESEARCH OBJECTIVES AND SUMMARY OF RESEARCH1. Tracking of Narrow-band Space/Time Random Processeswith Adaptive ArraysJoint Services Electronics Program (Contract DAAB07-71-C-0300)J. M. F. Moura, L. S. Metzger, A. B. BaggeroerThe location of narrow-band sources has traditionally been tracked by using"bearings only" information supplemented by Doppler measurements. The actualspatial/temporal structure of the signal is closely coupled with the relative motiondynamics of the source and receiver. An integrated approach to the tracking of thesource location using parameter and continuous estimation theory has been devel-oped. We are studying problems of global acquisition and observability, as wellas potential methods for calculating the posterior probability density of the arraysignals.References1. J. M. F. Moura, H. L. Van Trees, and A. B. Baggeroer, "Space/Time Trackingby a Passive Observer," Proceedings of the Nonlinear Estimation Theory Con-ference, San Diego, California, 1973.2. Detection and Estimation Theory MethodsJoint Services Electronics Program (Contract DAAB07 -71 -C-0300)S. A. Parl, L. C. Pusey, A. B. BaggeroerInvestigations of estimating processes with distributed dynamics and boundaryconditions have been made, and the results are being applied to internal oceano-graphic wave processes. We are studying spectral analysis and frequency wave-number function estimation. Generalizations of the adaptive "maximum-likelihood"and "maximum-entropy" procedures are being examined by using the conceptsof parameter and optimum linear filtering theory and the resulting error perfor-mance.QPR No. 112(XIV. DETECTION AND ESTIMATION THEORY)3. Seismic Data Processing for the IDOE East Atlantic ContinentalMargin ProgramNational Science Foundation (Grant GX-36331)K. B. Theriault, S. J. Leverette, A. B. BaggeroerThis effort is a joint program with Woods Hole Oceanographic Institution for theseismic data processing associated with the NSF International Decade of Ocean Explor-ation - East Atlantic Continental Margin Program. Previous investigations haveFig. XIV-1. Inverse filter using tap delay-line structure.(b)Fig. XIV-2. Comparison of seismicOrange River.(a) Before processing.(b) After processing.records for a line west of theQPR No. 112I I(XIV. DETECTION AND ESTIMATION THEORY)considered the removal of water column multiples or echoes, by using tapped delay-linefilters. These investigations were reported in "Tapped Delay Line Models for theDereverberation of Deep Water Multiples," Progress Report No. 1 for this Grant,submitted in June 1973.We are now using signals recorded by a source monitor to determine the effects ofapplying scattering function theory for designing dereverberation filters (Figs. XIV-1and XIV-2). Adaptive stacking of successive reflections is also being investigated.Future work using a six-channel array for seismic profiling is being planned for a 1975IDOE Brazilian cruise.QPR No. 112

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Detection and Estimation Theory

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