Theoretical FiiiKlanientals of Pulse 

 Transmission — I 



By E. D. SUNDE 



(Manuscript received 8ci)teinl)er 23, 1953) 



A compendium is presented of theoretical fundamentals relating to pulse 

 transmission, for engineering applications. Emphasis is given to the con- 

 sideration of various imperfections in transmission systems and residtant 

 transmission impairmcjifs or limitations on transmission capacity. 



In Part I of this paper, Sections 1 to 11, fundamental properties of trans- 

 mission-frequency characteristics are discussed, together with general rela- 

 tions between frequency and pulse (ransmission characteristics and special 

 transmission characteristics of importance in pulse systems. This is fol- 

 lowed by a presentation of engineering methods of evaluating pidse distortion 

 from various types of gain and phase deviations. 



In Part II, Sections 12-16, transmission limitations imposed by charac- 

 teristic distortion will be discussed. 



Part I 



1. Properties of Transmission-Frequency Characteristics 724 



2. Frequency and Pulse Transmission Characteristics 730 



3. Idealized Characteristics with Sharp Cutoff 736 



4. Idealized Characteristics with Gradual Cutofi" 741 



5. Idealized Characteristics with Natural Linear Phase Shift 743 



6. Pulse Echoes from Phase Distortion 752 



7. Pulse Echoes from Amplitude Distortion 761 



8. Fine Structure Imperfections in Transmission Characteristics 764 



9. Transmission Distortion bj^ Low-frequency Cutoff 773 



10. Transmission Distortion by Band-edge Phase Deviations 779 



11. Band-pass Characteristics with Linear Delay Distortion 784 



Part II 



12. Impulse Characteristics and Pulse Train Envelopes 



13. Transmission Limitations in Sj-mmetrical Systems 



14. Transmission Limitations in Asymmetrical Sideband Systems 

 lo. Double vs. Vestigial Sideband S3'stcms 



16. Limitation on Channel Capacity by Characteristic Distortion 

 Acknowledgements 

 References 



