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Consortium for Mathematics and its Applications

Product ID: Articles
Supplementary Print
Undergraduate
High School

Efficient Signal Transmission (UMAP)

Author: Susan E. Kelly, James S. Walker


We describe how digital signals can be transmitted by analog carrier signals. This is the method of pulse code modulation. Transmission by pulse code modulation is widely used thanks to its abilities to withstand corruption by noise and to transmit multiple signals simultaneously. Digital signals can also be used to compress analog signals, thus allowing for more rapid transmission, by employing wavelet series. We shall describe how wavelet series are employed and compare them with Fourier series, showing that in many instances wavelet series provide a better technique.

Table of Contents:

INTRODUCTION

PCM AND DIGITAL SIGNAL TRANSMISSION
Transmitting a Bit Sequence

SIMULTANEOUS MESSAGES AND DENOISING

COMPRESSING SIGNALS
Power Series
Fourier Series

WAVELETS

CONCLUSION

REFERENCES

ABOUT THE AUTHORS

©2003 by COMAP, Inc.
The UMAP Journal 24.4
22 pages

Mathematics Topics:

Calculus

Application Areas:

Communications

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