Transmission of Information by Orthogonal Functions
The orthogonality of functions has been exploited in communications since its very beginning. Conscious and extensive use was made of it by Kotel'nikov in theoretical work in 1947. Ten years later a considerable number of people were working in this field. However, little experimental use could...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1972, 1972
|
| Edition: | 2nd ed. 1972 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Historical Background and Motivation for the Use of Nonsinusoidal Functions 1
- Orthogonal Functions, Walsh Functions and Other Basic Mathematical Concepts 3
- Filtering of Time and Space Signals 6
- Direct and Carrier Transmission of Signals 6
- Nonsinusoidal Electromagnetic Waves 7
- Statistical Theory of Communication 8
- 1. Mathematical Foundations
- 1.1 Orthogonal Functions
- 1.2 Generalized Fourier Analysis
- 1.3 Generalized Frequency
- 2. Sequency Filters for Time and Space Signals
- 2.1 Correlation Filters for Time Signals
- 2.2 Resonance Filters for Time Signals
- 2.3 Instantaneous Filters for Space Signals
- 2.4 Sampling Filters for Space Signals
- 2.5 Digital Sequency Filters
- 3. Direct Transmission of Signals
- 3.1 Orthogonal Division as Generalization of Time and Frequency Division
- 3.2 Practical Problems of Transmission
- 3.3 Characterization of Communication Channels
- 4. Carrier Transmission of Signals
- 4.1 Amplitude Modulation (AM)
- 4.2 Multiplexing of Time Variable Signals
- 4.3 Time Base, Time Position and Code Modulation
- 5. Nonsinusoidal Electromagnetic Waves
- 5.1 Dipole Radiation of Walsh Waves
- 5.2 Multipole Radiation of Walsh Waves
- 5.3 Interference Effects, Doppler Effect
- 5.4 Signal Selection and Synchronization
- 6. Application of Orthogonal Functions To Statistical Problems
- 6.1 Series Expansion of Stochastic Functions
- 6.2 Additive Disturbances
- 6.3 Multiplicative Disturbances
- 7. Signal Design for Improved Reliability
- 7.1 Transmission Capacity
- 7.2 Error Probability of Signals
- 7.3 Coding
- References