| Syllabus | Introduction to signal processing; Auto correlation and cross correlation, Curve fitting and method of least-squares. Linear time invariant systems, Z- Transform; Introduction to digital filtering and windowing, Estimation of transfer function for digital filters, Impulse response and convolution; Fourier Transform (FT) and its properties. Bit-reversal algorithm, Discrete Fourier Transform (DFT); Fast Fourier Transform (FFT) and Power spectral estimation, Hilbert Transform (HT); Analytic signal, Sampling theorem; Introduction to Wavelet analysis (WA) in geophysics; Continuous and discrete wavelet transform, Introduction to data modeling techniques: auto regressive (AR), moving average (MA), Auto regressive moving average (ARMA), Maximum Entropy Method (MEM) of spectral analysis. Applications of FT, HT, WA in Geophysics. |
| References | Oppenheim, A.V., Schafer, R.W. Discrete-Time Signal Processing, 3rd Edition, Pearson Education, 2019. Proakis, J.G., Manolakis, D.G. Digital Signal Processing: Principles, Algorithms, and Applications, 4th Edition, Pearson Education India, 2007. Chandrasekhar, E., Dimri, V.P., Gadre, V.M. (Eds.) Wavelets and Fractals in Earth System Sciences, CRC Press, Taylor and Francis Publishers, 2013. Harris, F.J. Multirate Signal Processing for Communication Systems, Wiley-IEEE Press, 2018. Mallat, S. A Wavelet Tour of Signal Processing: The Sparse Way, 3rd Edition, Academic Press, 2016
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