Литература

К введению

1.  Oppenheim А. V.. Schafer R. W., Digital Signal Processing, Englewood Cliffs, N.J., Prentice-Hall. Inc., 1975. [Имеется перевод: Оппенгейм А. В., Шафер Р. В. Цифровая обработка сигналов. -М.: Связь, 1979.]

К главе 1

1.  Oppenheim А. V., Schafer R. W., Digital Signal Processing, Englewood Cliffs, N. J., Prentice-Hall, Inc., 1975. Имеется перевод: Оппенгейм А. В., Шафер Р. В. Цифровая обработка сигналов. - М.: Связь, 1979.]

2.  Rabiner L. R., Gold В., Theory and Applications of Digital Signal Processing, Englewood Cliffs, N. J., Prentice-Hall, Inc.. 1975. (Имеется перевод: Рабинер Л. Р., Гоулд Б. Теория и применение цифровой обработки сигналов. - М.: Мир, 1978.]

3.  Oppenheim А. V., Willsky A. S., Young I. Т., Signals and Systems, Englewood Cliffs, N. J., Prentice-Hall, Inc., 1983.

4.  O'Connor В. Т., Huang Th. S., Stability of General Two-Dimensional Recursive Filters, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-26, No. 6, 550-560 (1978).

5.  Petersen D. P., Middleton D., Sampling and Reconstruction of Wave-Number Limited Functions in N-Dimensional Euclidean Spaces, Information and Control, 5, 279-323 (1962).

6.  Mersereau R. M., The Processing of Hexagonally Sampled Two-Dimensional Signals, Proc. IEEE, 67, No. 6, 930-949 (1979). (Имеется перевод: ТИИЭР, июнь 1979, т. 67, № 6, с. 34-55.)

К главе 2

1.  Cooley J. W., Tukey J. W., An Algorithm for the Machine Calculation of Complex Fourier Series, Mathematics of Computation, 19, No. 90 , 297-301 (1965).

2.  Cooley J. W., Lewis P. A. W., Welch P. D., Historical Notes on the Fast Fourier Transform, IEEE Trans. Audio Electroacoustics, AU-15, No. 2, 76-79 (1967).

3.  Harris D. В., McClellan J. H., et al.. Vector Radix Fast Fourier Transform, Proc. IEEE Int. Conj. Acoustics, Speech, and Signal Processing, 548-551 (May 1977).

4.  Rivard G. K., Direct Fast Fourier Transform of Bivariate Functions, IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-25, No. 3, 250-252.

5.  Eklundh J. O., A Fast Computer Method for Matrix Transposing, IEEE Trans. Computers, C-21, 801-803 (1972).

6.  Mersereau R. M., The Processing of Hexagonally Sampled Two-Dimensional Signals, Proc. IEEE, 61. No. 6, 930-949 (1979).

7.  Mersereau R. M., Speake Th. C., A Unified Treatment of Cooley-Tukey Algorithms for the Evaluation of the Multidimensional DFT, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-29, No. 5, 1011-1018 (1981).

8.  Mersereau R. M., Dudgeon D. E., The Representation of Two-Dimensional Sequences as One-Dimensional Sequences, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-22, No. 5, 320-325 (1974).

9.  Good I. J., The Interaction Algorithm and Practical Fourier Analysis. J. Royal Statistical Society B, 20, 361-372 (1958).

10.  McClellan J. H., Rader Ch. M., Number Theory in Digital Signal Processing, Englewood Cliffs, N. J., Prentice-Hall. Inc., 1979. Имеется перевод: Макклеллан Дж., Райдер Ч. Применение теории чисел в цифровой обработке сигналов. - М.: Радио и связь. 1983.)

К главе 3

1.  Twogood R. Е., Ekstrom М. P., Mitra S. К., Optimal Sectioning Procedure for the Implementation of 2-D Digital Filters, IEEE Trans. Circuits and Systems, CAS-25. No. 5, 260-269 (1978).

2.  Huang Th. S., Two-Dimensional Windows, IEEE Trans. Audio and Electroacoustics, AU-20. No. 1. 88-90 (1972).

3.  Kaiser J. F., Nonrecursive Digital Filter Design Using the -sinh Window Function, Proc. IEEE Int. Symp. Circuits and Systems, 20-23 (1974).

4.  Mersereau R. M., Two-Dimensional Nonrecursive Filter Design, in Two-Dimensional Digital Signal Processing I, ed. Thomas S. Huang, Topics in Applied Physics Series, Vol. 42, New York, Springer-Verlag, 11-40 (1981).

5.  Speake Th. C., Mersereau R. M., A Note on the Use of Windows for Two-Dimensional FIR Filter Desing, IEEE Trans. Acoustics. Speech, and Signal Processing. ASSP-29, No. 1, 125-127 (1981).

6.  McClellan J. H., Artifacts in Alpha-Rooting of Images. Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 449-452 (Apr. 1980).

7.  Pratt W. K., Digital Image Processing, New York, John Wiley & Sons, Inc., 1978 (See Figure 12.5-1). [Имеется перевод: Прэтт У. Цифровая обработка изображений: В 2-х книгах. - М.: Мир. 1982.]

8.  Parks Th. W., McClellan J. H., Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase, IEEE Trans. Circuit Theory, CT-19, No. 2, 189-194 (1972).

9.  Cheney E. W., Introduction to Approximation Theory, New York, McGraw-Hill Book Company, 1966.

10.  Kamp Y., Thiran J. P., Chebyshev Approximation for Two-Dimensional Nonrecursive Digital Filters, IEEE Trans. Circuits and Systems, CAS-22, No. 3, 208-218 (1975).

11.  Harris D. В., Mersereau R. M., A Comparison of Algorithms for Minimax Design of Two-Dimensional Linear Phase FIR Digital Filters, IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-25, No. 6 , 492-500 (1977).

12.  Rice J. R., The Approximation of Functions, Vol. 2. Nonlinear and Multivariate Theory, Reading. Mass., Addison-Wesley Publishing Company, Inc., 1969.

13.  Lodge J. H., Fahmy M. M., An Efficient  Optimization Technique for the Design of Two-Dimensional Linear-Phase FIR Digital Filters. IEEE Trans. Acoustics. Speech, and Signal Processing, ASSP-28. No. 3, 308-313 (1980).

14.  Treitel S., Shanks J. L., The Design of Multistage Separable Planar Filters. IEEE Trans. Geoscience Electronics, GE-9. No. I. 10-27 (1971).

15.  McClellan J. H., The Design of Two-Dimensional Digital Filters by Transformations, Proc. 7th Annual Princeton Conf. Information Sciences and Systems, 247-251 (1973).

16.  Mersereau R. M., Mecklenbraukcr W. F. O., Quatieri Jr., Th. F., McClellan Transformation for 2-D Digital Filtering: I-Design, IEEE Trans. Circuits and Systems, CAS-23, No. 7, 405-414 (1976).

17.  Mecklenbraukcr W. F. G., Mersereau R. M., McClellan Transformations for 2-D Digital Filtering: II-Implemenlation, IEEE Trans. Circuits and Systems, CAS-23. No. 7, 414-422 (1976).

18.  McClellan J. H., Chan D. K., A 2-D FIR Filter Structure Derived from the Chebyshev Recursion, IEEE Trans. Circuits and Systems. CAS-24. No. 7, 372-378 (1977).

19.  Mersereau R. M., The Design of Arbitrary 2-D Zero-Phase FIR Filters Using Transformations, IEEE Trans. Circuits and Systems, CAS-27, No. 2, 142-144 (1980).

20.  Faugeras O. D., Abramatie J. F., 2-D FIR Filter Design from Independent 'Small' Generating Kernels Using a Mean Square and Tchebyshev Error Criterion, Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Pressing, 1-4 (Apr. 1979).

21.  Mersereau R. M., The Processing of Hexagonally Sampled Two-Dimensiona, Signals, Proc. IEEE, 67, No. 6. 930-949(1979). [Имеется перевод: ТИИЭР, июнь 1979, т. 67, № 6, с. 34-55.]

К главе 4

1.  Mersereau R. М., Dudgeon D. Е., Two-Dimensional Digital Filtering, Proc. IEEE, 63, No. 4,610-623 (1975). [Имеется перевод: ТИИЭР, апрель 1975, 63, No 4, с. 79-95.]

2.  Ekstrom M. P., Woods J. W., Two-Dimensional Spectral Factorization with Applications in Recursive Digital Filtering, IEEE Trans. Acoustics, Spech, and Signal Processing, ASSP-24, No. 2. 115-128 (1976).

3.  Chan D. S. K., A Novel Framework for the Description of Realization Structures for 1-D and 2-D Digital Filters, 1976 IEEE Electronics and Space Convention Record, pp. 157 (A-H).

4.  Maury M. Т., Aggarwal J. К , Picture Processing Using One-Dimensional Implementations of Discrete Planar Filters. IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-22, No. 3, 164-173 (1974).

5.  Chan D. S. K., Theory and Implementation of Multidimensional Discrete Systems for Signal Processing, Ph. D. thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (1978).

6.  O'Connor В. Т., Huang Th. S., Stability of General Two-Dimensional Recursive Digital Filters, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-26, No. 6, 550-560 (1978).

7.  Shanks J. L., Treitel S., Justice J. H., Stability and Synthesis of Two-Dimensional Recursive Filters, IEEE Trans. Audio and Electroacoustics, AlJ-20, No. 2, 115-128 (1972).

8.  Justice J. H., Shanks J. L., Stability Criterion for V-Dimensional Digital Filters, IEEE Trans. Automatic Control. AC-18, No. 3, 284-286 (1973).

9.  Huang Th. S., Stability of Two-Dimensional Recursive Filters, IEEE Trans. Audio and Electroacoustics, AU-20, No. 2, 158-163 (1972).

10.  Goodman D., An alternate Proof of Huang's Stability Theorem. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-24, No. 5, 426-427 (1976).

11.  Davis D. L., A Correct Proof of Huang's Theorem on Stability. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-24, No. 5, 425-426 (1976).

12.  DeCarlo R., Murray J., Sacks R., Multivariate Nyquist Theory, Int. J. Control, 25, 657-675 (1977).

13.  Strintzis M. G., Test of Stability of Multidimensional Filters, IEEE Trans. Circuits and Systems, CAS-24. No. 8, 432-437 (1977).

14.  O'Connor В. Т., Techniques for Determining the Stability of Two-Dimensional Recursive Filters and Their Application to Image Restoration, Ph. D. thesis, School of Electrical Engineering, Purdue University (May 1978).

15.  Jury E. I., Stability of Multidimensional Scalar and .Matrix Polynomials, Proc. IEEE, 66, No. 9, 1018-1048 (1978). [Имеется перевод: ТИИЭР, сентябрь 1978, 66, № 9, с. 33-69.]

16.  Shaw G. A. An Algorithm for Testing Stability of Two-Dimensional Digital Recursive Filters, Proc. IEEE Int. Conf Acoustics, Speech, and Signal Processing, 769-772 (Apr. 1978).

17.  Shaw G. A., Mersereau R. M., Design, Stability, and Performance of Two-Dimensional Recursive Digital Filters, Technical Report E2I-B05-I, Georgia Institute of Technology School of Electrical Engineering (Dec. 1979).

18.  Jury Е. I., Theory and Application of the -Transform Method, New York, John Wiley & Sons. Inc., 1964.

19.  Tribolet J. M., A New Phase Unwrapping Algorithm. IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-25. No. 2. 170-177 (1977).

20.  Goodman D., Some Stability Properties of Two-Dimensional Linear Shift-, Invariant Digital Filters, IEEE Trans. Circuits and Systems, CAS-24, No. 4, 201-208 (1977).

21.  Anderson В. О. O., Jury E. I., Stability of Multidimensional Digital Filters. IEEE Trans. Circuits arid Systems, CAS-21, No. 2, 300-304 (1974).

22.  Oppenheim A. V.. Schafer R. W., Digital Signal Processing, Englewood Cliffs. N. J., Prentice-Hal I. Inc. 1975. [Имеется перевод: Оппенгейм А. В. Шафер Р. В. Цифровая обработка сигналов. - М. : Связь, 1979.]

23.  Bogert В. P.. Healy М. J. R., Tukev J. W.. The Quefrency Analysis o, Time Series for Echoes: Cepstrum, Pseudo-autocovariance. Cross-Cepstrum and Saphe Cracking, Time Series Analysis (Proc. Symp.), M. Rosenblatt, ed., New York. John Wiley & Sons, Inc., 209-243 (1963).

24.  Dudgeon D. E., The Existence of Cepstra for Two-Dimensional Rational Polynomials, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-23, No.' 2, 242-243 (1975).

25.  Dudgeon D. E.. Two-Dimensjonal Recursive Filtering. Sc. D. thesis. Department of Electrical Engineering and Computer Science, .Massachusetts Institute of Technology (May 1974).

26.  Dudgeon D. E.. The Computation of Two-Dimensional Cepstra, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-25, No. 6, 476-484 (1977).

К главе 5

1.  Oppenheim A. V., Schafer R. W., Digital Signal Processing, Englewood Cliffs, N. J., Prentice-Hall, Inc., 1975. [Имеется перевод: Оппенгейм А. В., Шафер Р. В. Цифровая обработка сигналов. - М.: Связь, 1979.]

2.  Costa J. М., Venetsanopoulos А. N., Design of Circularly Symmetric Two-Dimensional Recursive Filters. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-22, No. 6. 432-443 (1974).

3.  Dudgeon D. E., An Iterative Implementation for 2-D Digital Filters. IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-28, No. 6. 666-671 (1980).

4.  Quatieri Th. F., Dudgeon D. E., Implementation of 2-D Digital Filters by Iterative .Methods, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-30, No. 3. 473-487 (1982).

5.  Manry М- Т., Aggarwal J. K., Picture Processing Using One-Dimensional Implementations of Discrete Planar Filters, IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-22, No. 3, 164-173 (1974).

6.  Roesser R. P., A Discrete State-Space Model for Linear Image Processing, IEEE Trans. Automatic Control, AC-20, No. 1, 1-10 (1975).

7.  Kung Sun-Yuan, Levy В. C., et al., New Results in 2-D Systems Theory. Part II: 2-D State-Space Models- Realization and the Notions of Controllability, Observability, and Minimality. Proc. IEEE, 65, No, 6, 945-961 (1977). [Имеется перевод: ТИИЭР, июнь 1977, 65, № 6, с. 157-175.]

8.  Willsky A. S., Digital Signal Processing and Control and Estimation Theory: Points of Tangencu, Areas of Intersection, and Parallel Directions, Cambridge, Mass.: The MIT Press, 1979.

9.  Chan D. S. K., A Simple Derivation of Minimal and Near-Minimal Realizations of 2-D Transfer Functions, Proc. IEEE, 66. No. 4, 515-516 (1978). [Имеется перевод: ТИИЭР, апрель 1978, 66. № 4. с. 177-179.]

10.  Cadzow J. A., Recursive Digital Synthesis via Gradient Based Algorithms, IEEE Trans. Acoustics, Spech, and Signal Processing, ASSP-24, No. 5, 349-355(196).

11.  Shanks J. L., Treitel S., Justice J. H.. Stability and Synthesis of Two-Dimensional Recursive Filters. IEEE Trans. Audio and Electroacoustics, AU-20, No. 2, 115-128 (1972).

12.  Ortega J. M., Rheinboldt W. C., Iterative Solution of Nonlinear Equations in Several Variables, New-York. Academic Press, Inc., 1970. [Имеется перевод: Ортега Дж., Рейнболдт В. Итерационные методы решения нелинейных систем уравнений со многими неизвестными. - М.: Мир, 1975.]

13.  Shaw G. A., Mersereau R. М., Design, Stability, and Performance of Two-Dimensional Recursive Digital Filters, Technical Report E21-B05-1. Georgia Institute of Technology School of Electrical Engineering (Dec. 1979).

14.  Fletcher R., Powell M. J. D. A Rapidly Convergent Descent Method for Minimization. Computer J., 6. No. 2 July, 163-168 (1963).

15.  Bertran M. S., Approximation of Digital Filters in One and Two Dimensions, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-23, No. 5, 438-443 (1975).

16.  Nowrowzian В., Ahmadi M., King R. A., On the Space-Domain Design Techniques of A-Dimensional Recursive Digital Filters, Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 531-534 (Apr. 1977).

17.  Brown К. M., Dennis, Jr., J. E., Derivative-Free Analogues of the Levenberg-Marquardt and Gauss Algorithm for Non-Linear Least-Squares Approximation. Numerische Mathematik, 18, 289-297 (1972).

18.  Ekstrom M. P., Twogood R. F., Woods J. W., Two-Dimensional Recursive Filter Design - A Spectral Factorization Approach, IEEE Trans. Acoustics, Speech, and Signal Processing. ASSP-28, No. 1, 16-26 (1980).

19.  Steiglitz K., McBride L. E., A Technique for the Identification of Linear Systems. IEEE Trans. Automatic Control, AC-10, 461-464 (1965).

20.  Cheney E. W., Introduction to Approximation Theory, New York, McGraw-Hill Book Company, 1966.

21.  Barrodale I., Powell M. J. D., Roberts F. D. K., The Differential Correction Algorithm for Rational  Approximation, SIAM J. Numerical Analysis, 9, 493-504 (1972).

22.  Dudgeon D. E., Two-Dimensional Recursive Filtering, Sc. D. thesis. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (May 1974).

23.  Dudgeon D. E., Recursive Filter Design Using Differential Correction, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-22, No. 6, 443-448 (1974).

24.  Dudgeon D. E., Two-Dimensional Recursive Filter Design Using Differential Correction, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-23, No. 3, 264-267 (1975).

25.  Garvin W. W., Introduction to Linear Programming, New York, McGraw-Hill Book Company, 1960.

26.  Pendergrass N. A., Mitra S. K., Jury E. I., Spectral Transformations for Two-Dimensional Digital Filters, IEEE Trans. Circuits and Systems, CAS-23. No. 1, 26-35 (1976).

27.  Chakrabarti S., Mitra S. K., Design of Two-Dimensional Digital Filters via Spectral Transformations, Proc IEEE, 65, No. 6. 905 -914 (1977). [Имеется перевод: ТИИЭР, июнь 1977, 65, № 6, с 107-120.]

28.  Maria G. A., Fahmy М. М., An  Design Technique for Two-Dimensional Digital Recursive Filters. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-22, No. 1, 15-21 (1974).

29.  Abramatic J. F., Germain F., Rosencher E., Design of 2-D Recursive Filters with Separable Denominator Transfer Functions. Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing. 24-27 (Apr. 1979).

30.  Markel J. D., Gray A. H., Linear Prediction of Speech, Berlin, Springer-Verlag, 1976.

31.  Marzetta Th. L., A Linear Prediction Approach to Two-Dimensional Spectral Factorization and Spectral Estimation, Ph. D. thesis. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (Feb. 1978).

32.  Marzetta Th. L., Two-Dimensional Linear Prediction: Autocorrelation Arrays, Minimum-Phase Prediction Error Filters, and Reflection Coefficient Arrays, IEEE Trans. Acoustics. Speech, and Signal Processing, ASSP-28, № 6, 725- 733 (1980).

33.  Harris. D. В., Design and Implementation of Rational 2-D Digital Filters, Ph. D. thesis. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (Nov. 1979).

34.  Marzetta Th. L., The Design of 2-D Recursive Filters in the 2-D Reflection Coefficient Domain, Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 32-35 (Apr. 1979).

35.  Luenberger D. G., Optimization by Vector Space Methods, New York, John Wiley & Sons, Inc., 1969.

36.  Ekstrom M. P., Woods J. W., Two-Dimensional Spectral Factorization with Applications in Recursive Digital Filtering, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-24, No. 2, 115-128 (1976).

К главе 6

1.  Applications of Digital Signal Processing. A. V. Oppenheim, ed. Englewood Cliffs, N. J., Prentice-Hall, Inc., 1978. [Имеется перевод: Применение цифровой обработки сигналов. Под ред. Э. Оппенгейма. - М.: Мир, 1980.]

2.  Kelly Е. J., The Representation of Seismic Waves in Frequency - Wavenumber Space, M. I. T. Lincoln Laboratory Technical Note 1964-15 (Mar. 6, 1964).

3.  Halpeny O. S., Childers D. G., Composite Wavefront Decomposition via Multidimensional Digital Filtering of Array Data, IEEE Trans. Circuits and Systems, CAS-22, No. 5, 552-63 (June 1975).

4.  Kelly E. J., Response of Seismic Arrays to Wide-Band Signals, M. I. T. Lincoln Laboratory Technical Note 1967-30 (June 29, 1967).

5.  Harris F. J., On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform, Proc. IEEE, 66, No. 1, 51-83 (Jan. 1978). [Имеется перевод: ТИИЭР, январь 1978, 66, № 1, с. 60-96.]

6.  Huang Th. S., Two-Dimensional Windows, IEEE Trans. Audio and Electroacoustics, AU-20, No. 1, 80-90 (Mar. 1972).

7.  Speake Th. C., Mersereau R. M., A Note on the Use of Windows for Two-Dimensional FIR Filter Design. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-29, № 1, 125-127 (Feb. 1981).

8.  Portnoff M. R., Time-Frequency Representation of Digital Signals and Systems. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-29, № 1, 55-69 (1980).

9.  Dudgeon D. E., Fundamentals of Digital Array Processing, Proc. IEEE, 65, No. 6, 898-904 (June 1977). [Имеется перевод: ТИИЭР, июнь 1977, 65, № 6, с. 99-107.]

10.  Schafer R. W., Rabiner L. R., A Digital Signal Processing Approach to Interpolation. Proc. IEEE, 61, № 6, 692-720 (June 1973). [Имеется перевод: ТИИЭР, 1973, 61, № 6, с. 5-18.]

11.  Oetken G., Parks Th. W., Schussler H. W., New Results in the Design of Digital Interpolators, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-23, No. 3, 301-309 (June 1975).

12.  Pridham R. G., Mucci R. A., A Novel Approach to Digital Beamforming, J. Acoustical Society of America, 63 (3), 425-434 (Feb. 1978).

13.  Pridham R. G., Mucci R. A., Digital Interpolation Beamforming for Low-Pass and Bandpass Signals, Proc. IEEE, 67, No. 6, 904-919 (June 1979). [Имеется перевод: ТИИЭР, июнь 1979, 67, № 6, с. 29-47.]

14.  Сох Н., Resolving Power and Sensitivity to Mismatch of Optimum Array. Processors, J. Acoustical Society of America, 54, No. 3. 771-785 (Mar. 1973).

15.  Monzingo R. A., Miller Th. W., Introduction to Adaptive Arrays, New York, John Wiley & Sons, Inc., 1980.

16.  Bartlett M. S., An Introduction to Stochastic Processes with Special Reference to Methods and Applications. New York, Cambridge Univerisity Press, 1953. [Имеется перевод: Бартлет M. Введение в теорию случайных процессов. - М.: Мир, 1958.]

17.  Blackman R. В., Tukey J. W., The Measurement of Power Spectra, New York, Dover Publications, Inc., 1958.

18.  Jenkins G. M., Watts D. G., Spectral Analysis and Its Applications, San Francisco, Holden-Day, Inc., 1968. [Имеется перевод: Дженкинс Г., Ваттc Д. Спектральный анализ и его приложения. - М.: Мир, 1972.]

19.  Welch P. D., The Use of Fast Fourier Transform for the Estimation of Power Spectra: A Method Based on Time Averaging over Short, Modified Periodograms, IEEE Trans. Audio and Electroacoustics. AU-15, No. 2, 70-73 (June 1967).

20.  Oppenheim A. V., Schafer R. W., Digital Signal Processing. Englewood Cliffs, N. Y., Prentice-Hall, Inc., 1975. [Имеется перевод: Оппенгейм А. В., Шафер Р. В. Цифровая обработка сигналов. - М.: Связь, 1979.]

21.  Capon J., High-Resolution Frequency - Wavenumber Spectrum Analysis, Proc. IEEE, 57, No. 8, 1408-1418. (Aug. 1969).

22.  Lacoss R. Т., Data Adaptive Spectral Analysis Methods, Geophysics, 36, No. 4, 661-675 (Aug. 1971).

23.  Justice J. H., A Levinson-Type Algorithm for Two-Dimensional Wiener Filtering Using Bivariate Szego Polynomials, Proc IEEE, 65, No. 6, 882- 886 (June 1977).

24.  Dickinson B. W., Two-Dimensional .Markov Spectrum Estimates Need Not Exist, IEEE Trans. Information Theory, IT-26, No. 1, 120-121 (Jan. 1980).

25.  Rudin W., The Extension Problem for Positive Definite Functions, Illinois J. Mathematics. 7, 532-539 (1963).

26.  Newman W. I., Notes on Multidimensional Power Spectral Analysis, Astronomy and Astrophysics (Germany), 70, No. 3, pt. 1, 409-410 (Nov.1978).

27.  Genin Y., Kamp Y., Counterexample in the Least-Squares Inverse Stabilization of 2D Recursive Filters, Electronics Letters. 11. No. 15, 330 (July 24, 1975).

28.  Jackson L. В., Chien H. C., Frequency and Bearing Estimation by Two-Dimensional Linear Prediction, Proc. Int. Conf. Acoustics, Speech, and Signal Processing. Washington, D. C., 665-668 (Apr. 1979).

29.  Pendrel J. V., The Maximum Entropy Principle in Two-Dimensional Spectral Analysis, Ph. D. thesis, York University, Ontario, Canada (Nov. 1979).

30.  Makhoul J., Linear Prediction: A Tutorial Review, Proc. IEEE, 63, No. 4, 561-580 (175).

31.  Wernecke S. J., D'Addario L. R., Maximum Entropy Image Reconstruction, IEEE Trans. Computers, C-26, No. 4, 351-364 (Apr. 1977).

32.  Newman W. I., A New Method of Multidimensional Power Spectral Analysis. Astronomy and Astrophysics (Germany). 54, No. 2, pt. 2, 369-380 (Jan. 1977).

33.  Woods J. W., Two-Dimensional Markov Spectral Estimation, IEEE Trans. Information Theory, IT-22, No. 5, 552-559 (Sept. 1976).

34.  Lim J. S., Malik N. A., A New Algorithm for Two-Dimensional Maximum Entropy Power Spectrum Estimation, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-29, No. 3, 401-413 (June 1981).

35.  McClellan J. H., Multi-dimensional Spectral Estimation, Proc. IEEE, 70, No. 9, 1029-1039 (Sept. 1982).

36.  Lang S. W., McClellan J. H., Spectral Estimation for Sensor Arrays, Proc. 1st ASSP Workshop on Spectral Estimation, 1, 3.2.1-3.2.7 (Aug. 1981).

37.  Luenberger D. G., Introduction to Linear and Nonlinear Programming, Reading, Mass.: Addison-Wesley Publishing Company. 1973.

38.  Burg J. P., Maximum Entropy Spectral Analysis. Ph. D. thesis, Stanford University (May 1975).

К главе 7

1.  Schafer R. W., Mersereau R. M., Richards M. A., Constrained Iterative Restoration Algorithms. Proc. IEEE, 69. 432-450 (Apr. 1981). [Имеется перевод: ТИИЭР, апрель 1981, 69, № 4, с. 34-55.]

2.  Van Cittert P. Н., Zum Einfluss der Splatbreite auf die Intensitatswerteilung in Spektrallinfen II. Z. fur Physik, 69, 298-308 (1931).

3.  Marucci R., Signal Recovery from the Effects of a Non-invertible Distortion Operator. M. S. thesis. School of Electrical Engineering, Georgia Institute of Technology (1981).

4.  Trussel H. J., Maximum Power Signal Restoration, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-29. No. 5, 1059-1061 (1981).

5.  Gerchberg R. W., Super-resolution through Error Energy Reduction, Optica Acta, 21, 709-720 (1974).

6.  Papoulis A.. A New Algorithm in Spectral Analysis and Bandlimited Extrapolation. IEEE Trans. Circuits and Systems, CAS-22. No. 9, 735-742 (Sept. 1975).

7.  Huddleston G. K., Aperture Synthesis of Monopulse Antenna for Radome Analysis Using Limited Measured Pattern Data, Proc. IEEE Southeastcon 81 Conf., 350-354.

8.  Gerchberg R. W., Saxton W. O., A Practical Algorithm for the Determination of Phase from Image and Diffraction Plane Pictures, Optic, 35, 237-246 (1972).

9.  Fienup J. R., Reconstruction of an Object from the Modulus of Its Fourier Transform, Optics Letters, 3, 27 -29 (1978).

10.  Fienup J. R., Iterative Method A plied to Image Reconstruction and to Computer-Generated Holograms, in Poc. Soc. Photo-optical Instrumentation Engineers, Session 207-202, Applications on Digital Image Processing III (1979).

11.  Hayes M. H., The Reconstruction of a Multidimensional Sequence from the Phase or Magnitude of Its Fourier Transform, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-30, No. 2, 140-154 (Apr. 1982).

12.  Hayes M. H. Ill, Signal Reconstruction from Phase or Magnitude, Sc. D. thesis. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (June 1981).

13.  Garibotto G.. 2-D Recursive Phase Filters for the Solution of Two-Dimensional Wave Equations. IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-27, No. 4, 367-372 (Aug. 1979).

14.  Harris D. В., Design and Implementation of Rational 2-D Digital Filters, Ph. D. thesis. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (Nov. 1979).

15.  Claerbout J., Fundamentals of Geophysical Data Processing, New York. McGraw-Hill Book Company, 1976.

16.  Radon J., On the Determination of Functions from Their Integrals along Certain Manifolds. Ber Saechs. Akad. Wiss. Leipzig, Math. Phys. K.I., 69, 262- 277 (1917) (in German).

17.  Dines K. A., Lytle R. J., Computerized Geophysical Tomography, Proc. IEEE. 67. No. 7, 1065-1073 (July 1979).

18.  Mersereau R. M., Oppenheim A. V., Digital Reconstruction of Multidimensional Signals from Their Projections. Proc. IEEE, 62. No. 10, 1319-1338 (Oct. 1974). [Имеется перевод: ТИИЭР. октябрь 1974, 62, Лг? 10, с. 29-51.]

19.  Mersereau R. М., Direct Fourier Transform Techniques in 3-D Image Reconstruction, Computers in Biology and Medicine, 6, 247-258 (1976).

20.  Shepp L. A., Logan B. F., The Fourier Reconstruction of a Head Section, IEEE Trans. Nuclear Science, 21, 21-43 (1974).

21.  Horn В. K. P., Density Reconstruction Using Arbitrary Ray-Sampling, Schemes, Proc. IEEE, 66, No. 5, 551-562 (May 1978). [Имеется перевод: ТИИЭР, май 1978. 66. № 5, с. 27-40.]

22.  Herman G. Т., Lent A., Iterative Reconstruction Algorithms, Computers in Biology and Medicine. 6. 273-294 (1976).

23.  Herman G. Т., Lakshminarayanan A. V., Naparstek A.. Convolution Reconstruction Techniques for Divergent Beams, Computers in Biology and Medicine. 6. 259-271 (1976).

24.  Mersereau R. M., Dudgeon D. E., The Representation of Two-Dimensional Sequences as One-Dimensional Sequences, IEEE Trans. Acoustics, Speech, and Signal Processing ASSP-22, No. 5, 320-325 (Oct. 1974).

25.  Mersereau R. M., Dimensionality-Changing Transformations with Non-rectangular Sampling Strategies, Transformations in Optics, W. T. Rhodes et al., eds.. Seattle: Society of Photo-optical Instrumentation Engieers, 1983.

26.  Bracewell R. N., The Fourier Transform and Its Applications, New York McGraw-Hill Book Company, 1978.