Mathematical Foundations for Signal Processing, Communications, and Networking

List of Figures

2.1      Gibbs phenomenon. The plot is obtained by $f_{N_i}\left(t\right)={\displaystyle {\sum }_{k=1}^{N_i}\frac{1}{2k-1}\sin \left(2\pi \left(2k-1\right)f_{0}t\right)}$where the fundamental frequency f₀ is 1Hz and {N_i} is {1, 8, 32}.

4.1      Modulo-4 addition table with elements {0, 1, 2, 3}

4.2      Modulo-5 multiplication table with elements {1, 2, 3, 4}

4.3      Addition and multiplication tables in GF(2)

4.4      Addition and multiplication tables for GF(4)

4.5      Examples of primitive polynomials with coefficients from GF(2).

4.6      Multiplication and addition tables for GF(2³) generated by the primitive polynomial 1 + X + X³

4.7      Multiplication and addition tables for GF(2³) generated by the primitive polynomial 1 + X² + X³

5.1      IEEE double precision floating-point numbers

5.2      Growth ...