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In
order to open the *.mcd or *.xmcd files and work with Mathcad'
you need the special software package, for which UofTartu has campus
licence and which has been installed into all computers in Tähe 4 classes. |
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For reading only |
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Introduction | Signals and their distortions in a scan-and-record-type measurement device. Basic notions: instrumental function, convolution, analyzer and detector, noise filtering, inverse problem of measurement. | |
| 1.2 | Elementary signals, systems | Peaks in chromatogram/spectrogram-type recordings. Gaussian and Lorentzian peaks. Unit step and delta impulse. Complex exponent and exponential decay. | |
| 2.1 | Synthesis of signals from elementary ones. | Signals as sums of unit impulses. Sums of weighted cosinusoids. | |
| 2.2 | Fourier transform | Basic formulas of the Fourier transform. Examples of spectra. | |
| 3.1 | Measurement in spectral language | Recovering signal from measurement as ill-posed inverse problem | |
| 3.2 | Sampling theorem | For bandlimited signals taking discrete samples of it does not cause any information loss. | |
| 3.3 | Noise filtering | Wiener filter. Signal-to-noise ratio. | |
| 4.1 | Wavelet transform | Continuous and discrete wavelet transforms. Inverse transform. Data compression. | |
| 5.1 | Least squares | Introduction of the method on an example of 3-peak chromatogram/spectrogram | |
| + | Supplement: MC's quicksheets 1 2 | Simple examples how to use MC's built-in least-squares-solvers | |
| ++ | Supplement: Chirplet-transform | From Wikipedia -- the chirplet-transform as compared to other more common time-frequency representations. |
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