1. Nature of signals. Sampling, sampling frequency. Analog and digital filters, digital filters derived from analog filters, bilinear transform.
2. First-order filter and notch filter. FIR and IIR filters. Comparison of the filter properties, the proposal for design in Matlab.
3. Fourier transform (FT). Dictionary, transform of integration and differentiation operations. Autospektrum graduated RMS, PWR, and PSD.
4. FT of constant and harmonic signals. Effect of the time window on the frequency spectrum
5. Methods for calculating the fast Fourier transform (FFT). DIT and DIF method, butterfly diagrams. Speeding up the calculation.
6. Calculation spectra by overlapping blocks for the averaging spectra.
7. Hilbert transform. Analytical signal. Envelope and phase analytical signal. Amplitude and phase modulation and demodulation.
8. Resampling the signal. Order analysis.
9. Synchronous filtering signals. Frequency response of synchronous filtering.
10. Measurement of frequency response using the Fourier transform. Test signal like impulse and white noise.
11. Coherence and factors affecting the accuracy of frequency responses (resonance, antiresonance, linearity and unmeasured inputs)
12. Wavelet transform. Continuous and discrete. The use of wavelets for noise removal, signal compression and indication of breakpoint
13. Vold-Kalman order filtration. Data and structural equations. Global solutions. The use of the VK filter for research quality sound systems
2. First-order filter and notch filter. FIR and IIR filters. Comparison of the filter properties, the proposal for design in Matlab.
3. Fourier transform (FT). Dictionary, transform of integration and differentiation operations. Autospektrum graduated RMS, PWR, and PSD.
4. FT of constant and harmonic signals. Effect of the time window on the frequency spectrum
5. Methods for calculating the fast Fourier transform (FFT). DIT and DIF method, butterfly diagrams. Speeding up the calculation.
6. Calculation spectra by overlapping blocks for the averaging spectra.
7. Hilbert transform. Analytical signal. Envelope and phase analytical signal. Amplitude and phase modulation and demodulation.
8. Resampling the signal. Order analysis.
9. Synchronous filtering signals. Frequency response of synchronous filtering.
10. Measurement of frequency response using the Fourier transform. Test signal like impulse and white noise.
11. Coherence and factors affecting the accuracy of frequency responses (resonance, antiresonance, linearity and unmeasured inputs)
12. Wavelet transform. Continuous and discrete. The use of wavelets for noise removal, signal compression and indication of breakpoint
13. Vold-Kalman order filtration. Data and structural equations. Global solutions. The use of the VK filter for research quality sound systems