Mobile Communications Handbook, 3rd Edition

14

Signal Space

 

     Rodger E. Ziemer

14.1 Introduction

14.2 Fundamentals

14.3 Application of Signal Space Representation to Signal Detection

14.4 Application of Signal Space Representation to Parameter Estimation

14.5 Miscellaneous Applications

Wavelet Transforms

Mean-Square Estimation: The Orthogonality Principle

Volterra Adaptive Lattice Filtering

References

Further Reading

14.1 Introduction

 

The concept of signal space has its roots in the mathematical theory of inner product spaces known as Hilbert spaces (Stakgold, 1967). Many books on linear systems touch on the subject of signal spaces in the context of Fourier series and transforms (Ziemer et al., 1998). The applications of signal space concepts in communication theory find their ...