Syllabus
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Course Code: GP-203 Course Name: Geophysical Signal Processing |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Signal and System Signals: Various special signal and classification of signals, orthogonal function, band limited signals, sampling theorem, aliasing effect of sampling on reconstruction of continuous signal from their samples, extrapolation of band limited signals Systems: Classification of Systems, Linear time invariant causal and stable system with continuous and discrete input, minimum phase signals, Hilbert transform |
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| 2 | Discrete Transform Z transform, properties of Z transform, and the region of convergence, Z transform of causal and non causal sequence, inverse Z transform, Transfer function, Solutions of difference equation using Z-transform, Relation between S-plane and Z-plane Review of Fourier Transform, Introduction to wavelet transform and Walsh transform and their application in geophysics Discrete Fourier transform (DFT), relation between DFT and Z transform, Fast Fourier Transform (FFT), Decimation in time(DIT) and Decimation in frequency (DIF) algorithms, applications of FFT in geophysics, deconvolution, circular convolution, Importance of Windowing, Commonly used windows, cepstral analysis |
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| 3 | Time series analysis Introduction of stochastic process, autocorrelation and cross correlation, Stationarity, Wide sense stationarity, ergodicity, power spectral density function, Wiener Khinchine theorem, White Gaussian Noise, Wiener Filtering, Matched Filtering |
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| 4 | Filters and System Realization Recursive and non-recursive filters, ideal and realizable low pass, band pass and high pass filters, IIR filters, Design of Butterworth filters, Design of FIR filters using direct and canonical realization scheme, Cascade and parallel realization scheme. |
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