GP 503: Geophysical Signal Processing
Syllabus
Introduction to signal processing in Geophysics; Auto correlation and cross correlation, Linear time invariant systems, Z- Transform; Laplace Transform, Transfer function, Impulse response and convolution; Fourier Transform and its properties. Bit-reversal algorithm, Fast Fourier Transform (FFT) and Discrete Fourier Transform (DFT); Power spectral estimation, Hilbert Transform, Mellin Transform; Applications in Geophysics; Introduction to digital filtering, Sampling theorem; Introduction to statistical signal processing; Introduction to Wavelet analysis in geophysics; Introduction to System modeling: auto regressive (AR), moving average (MA), Auto regressive moving average (ARMA), Maximum Entropy Method (MEM) of spectral analysis. Applications of signal processing in Geophysics.
Texts/References
- Enders A. Robinson and Sven Trietel, Geophysical Signal Analysis, Prentice Hall, Englewood Cliffs, New Jersey, 1980
- Alan V. Oppenheim and Ronald W. Schaffer, Discrete Time Signal Processing, Prentice Hall, Englewood Cliffs, New Jersey, 1989
- John F. Clearbout, Fundamentals of Geophysical Data Processing with applications to Petroleum Prospecting, Blackwell Scientific Publications, 1985
- Ronald N. Bracewell, The Fourier Transform and its applications, McGraw-Hill Science/Engineering/Math, 3rd edition, 1999
- Steven W. Smith, The Scientist and Engineer’s guide to Digital Signal Processing, 2nd edition, California Technical Publishing, 1999
- T. Rikitake, R. Sato and Y. Hagiwara, Applied Mathematics for Earth Scientists, Terra Scientific Publishing Company, Tokyo, 1987
- S. K. Mitra, Digital signal processing – a computer based approach” McGraw Hill International Edition, Electrical Engg. Series, 2001