Transmission of Information by Orthogonal Functions

1.Mathematical Foundations.- 1.1 Orthogonal Functions.- 1.2 The Fourier Transform and its Generalization.- 1.21 Transition from Fourier Series to Fourier Transform.- 1.22 Generalized Fourier Transform.- 1.23 Invariance of Orthogonality to the Generalized Fourier Transform.- 1.24 Examples of the Generalized Fourier Transform.- 1.25 Fast Walsh-Fourier Transform.- 1.26 Generalized Laplace Transform.- 1.3 Generalized Frequency.- 2. Direct Transmission of Signals.- 2.1 Orthogonal Division as Generalization of Time and Frequency Division.- 2.2 Characterization of Communication Channels.- 2.3 Sequency Filters Based on Walsh Functions.- 3. Carrier Transmission of Signals.- 3.1 Amplitude Modulation(AM).- 3.2 Time Base, Time Position and Code Modulation.- 3.3 Nonsinusoidal Electromagnetic Waves.- 4. Statistical Variables.- 4.1 Single Variables.- 4.2 Combination of Variables.- 4.3 Statistical Dependence.- 5.Application of Orthogonal Functions to Statistical Problems.- 5.1 Series Expansion of Stochastic Functions.- 5.2 Additive Disturbances.- 5.3 Multiplicative Disturbances.- 6. Signal Design for Improved Reliability.- 6.1 Transmission Capacity.- 6.2 Error Probability of Signals.- 6.3 Coding.- References Ordered by Sections.- Additional References for the Second Printing.