Signal Analysis Time, Frequency, Scale, and Structure [Hardcover]

• Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods
• Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques
• Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis
• Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more

Acknowledgments.

1 Signals: Analog, Discrete, and Digital.

1.1 Introduction to Signals.

1.1.1 Basic Concepts.

1.1.2 Time-Domain Description of Signals.

1.1.3 Analysis in the Time-Frequency Plane.

1.1.4 Other Domains: Frequency and Scale.

1.2 Analog Signals.

1.2.1 Definitions and Notation.

1.2.2 Examples.

1.2.3 Special Analog Signals.

1.3 Discrete Signals.

1.3.1 Definitions and Notation.

1.3.2 Examples.

1.3.3 Special Discrete Signals.

1.4 Sampling and Interpolation.

1.4.1 Introduction.

1.4.2 Sampling Sinusoidal Signals.

1.4.3 Interpolation.

1.4.4 Cubic Splines.

1.5 Periodic Signals.

1.5.1 Fundamental Period and Frequency.

1.5.2 Discrete Signal Frequency.

1.5.3 Frequency Domain.

1.5.4 Time and Frequency Combined.

1.6 Special Signal Classes.

1.6.1 Basic Classes.

1.6.2 Summable and Intels8