Transmission of Information by Orthogonal Functions
Published on 1. January 1970
Book
Paperback/Softback
XI, 325 pages
978-3-642-53359-4 (ISBN)
Description
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 rather independently. However, little experimental use could be made of the theo retical results before the arrival of solid state opera tional amplifiers and integrated circuits. A theory of communication based on orthogonal functions could have been published many years ago. However, the only useful examples of orthogonal functions at that time were sine-cosine functions and block pulses, and this made the theory appear to be a complicated way to derive known re sults. It was again the advance of semiconductor techno logy that produced the first really new, useful example of orthogonal functions: the little-known Walsh functions. In this book emphasis is placed on the Walsh functions, since ample literature is available on sine-cosine func tions as well as on block pulses and pulses derived from them.
More details
Edition
Softcover reprint of the original 1st ed. 1970
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 325 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 19 mm
Weight
522 gr
ISBN-13
978-3-642-53359-4 (9783642533594)
DOI
10.1007/978-3-642-53400-3
Schweitzer Classification
Other editions
Additional editions
Henning F. Harmuth
Transmission of Information by Orthogonal Functions
E-Book
12/2012
Springer
€96.29
Available for download
Content
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.