The following derivations were discussed in lectures, and can be asked in a test: 6.2.2: Derivation

The following derivations were discussed in lectures, and can be asked in a test: 6.2.2: Derivation of the signal-to-quantisation-noise-ratio (eq. 6.34). 7.2.1: Derivation of a general expression for the power density spectrum of a line coded signal (eq. 7.11). 7.2.2: Derivation of the power density spectrum biolit for polar line coding. 7.2.4: Derivation of the power density spectrum for on-off line coding. 7.2.5: Derivation of the power density spectrum for bipolar line coding. 7.3.2: Derivation of the vestigial sideband requirement for zero intersymbol interference (eq. 7.30). 7.5.1: Derivation of the solvable set of coefficients biolit for equalisation, as well as the matrix representation thereof (eq. 7.53). 7.8.2: Derivation of a power density spectrum of a digital carrier modulated signal (eq. 7.60). 7.9: Derivation of the minimum frequency increment for minimum shift FSK. 9.6: Derivation of the Wiener-Hopf filter (eq. 9.46). 9.7: Derivation of the output SNR for baseband analog systems (eq. 9.51). 9.8: Derivation of the optimum pre- and de-emphasis filters (eq. 9.60). 10.1.2: Derivation of the matched filter. 10.2.1: Derivation of the optimal binary receiver (general case: eq. 10.21b; white-noise case eq. 10.25b). 10.2.2: Derivation of the bit error probability in terms of Eb/N for polar, on-off and orthogonal signalling . 10.3: Derivation of the bit error probability in terms of Eb/N for BPSK, ASK, FSK and MSK. 13.1 Derivation of the maximum entropy of an information source.   Druk hierdie bladsy
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