1 Introduction. - 2 RC Filter. - 2. 1 The system diagram. - 2. 2 The differential equation. - 2. 3 The frequency response function and the Fourier transform. - 2. 4 The transfer function and the Laplace transform. - 2. 5 The impulse response function. - 2. 6 The step response function. - 2. 7 The frequency response function and the pole position. - 2. 8 The difference equation. - 2. 9 Review RC filter. - 3 General linear time invariant systems. - 3. 1 Generalization of concepts. - 3. 2 Graphical estimation of the frequency response function. - 3. 3 The phase properties of general LTI system. - 3. 4 The interpretation of the frequency response function. - 4 The seismometer. - 4. 1 The solution for simple initial conditions. - 4. 2 The determination of the damping constant. - 4. 3 The frequency response function. - 5 The sampling process. - 5. 1 The sampling of analog data. - 6 Analog-to-digital conversion. - 6. 1 The principle of analog to digital conversion. - 6. 2 Increasing dynamic range and resolution. - 7 From infinitely continuous to finite discrete. - 7. 1 Fourier series for periodic continuous-time signals (CTFS). - 7. 2 Fourier transform for aperiodic continuous-time signals (CTFT). - 7. 3 Fourier transform of discrete-time signals. - 7. 4 Fourier series for periodic discrete-time signals. - 7. 5 The Discrete Fourier Transform (DFT). - 7. 6 The z-transform and the discrete transfer function. - 7. 7 The inverse z-transform. - 7. 8 The z-transform and the Discrete Fourier Transform (DFT). - 7. 9 The convolution of sequences. - 8 The digital anti-alias filter. - 8. 1 Removing the maximum phase component of a FIR filter. - 9 Inverse and simulation filtering of digital seismograms. - 9. 1 Stability problems. - 9. 2 Implementation. - 9. 3 Review inverse and simulation filtering. - 10 The measurement of wavelet parameters from digital seismograms. - 10. 1 The determination of ground motion amplitudes. - 10. 2 The properties of seismic onsets. - 10. 3 Rise time and pulse duration. - 10. 4 Signal moment. - References. - Appendix: Solution to problems. Language: English