Handbook of Formulas and Tables for Signal Processing

Alexander D. Poularikas

• Publisher: CRC Press
• Year: 2018
• Print ISBN:
  9780367400316
• eBook ISBN:
  9781351835596
• Topic: Technology & Engineering
• Subtopic: Algebra
• Index: Technology & Engineering

Signal processing is a broad and timeless area. The term "signal" includes audio, video, speech, image, communication, geophysical, sonar, radar, medical, and more. Signal processing applies to the theory and application of filtering, coding, transmitting, estimating, detecting, analyzing, recognizing, synthesizing, recording, and reproducing signals.
Handbook of Formulas and Tables for Signal Processing a must-have reference for all engineering professionals involved in signal and image processing. Collecting the most useful formulas and tables - such as integral tables, formulas of algebra, formulas of trigonometry - the text includes:

Material for the deterministic and statistical signal processing areas

Examples explaining the use of the given formula

Numerous definitions

Many figures that have been added to special chapters
Handbook of Formulas and Tables for Signal Processing brings together - in one textbook - all the equations necessary for signal and image processing for professionals transforming anything from a physical to a manipulated form, creating a new standard for any person starting a future in the broad, extensive area of research.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• 1 Fourier Series
• 2 Laplace Transforms
• 3 Fourier Transform
• 4 Discrete-Time Fourier Transform, One- and Two-Dimensional
• 5 Distributions, Delta Function
• 6 The Z-Transform
• 7 Windows
• 8 Two-Dimensional Z-Transform
• 9 Analytical Methods
• 10 Signals and Their Characterization
• 11 Discrete Fourier Transform
• 12 Analog Filter Approximations
• 13 Sine and Cosine Transforms
• 14 The Hartley Transform
• 15 The Hilbert Transform
• 16 The Radon and Abel Transform
• 17 The Hankel Transform
• 18 The Mellin Transform
• 19 Time-Frequency Transformations
• 20 Complex Variable Analysis
• 21 Legendre Polynomials
• 22 Hermite Polynomials
• 23 Laguere Polynomials
• 24 Chebyshev Polynomials
• 25 Bessell Functions
• 26 Zernike Polynomials
• 27 Special Functions
• 28 Asymptotic Expansions
• 29 Non-Recursive Filters
• 30 Recursive Filters
• 31 Recursive Filters Satisfying Prescribed Specifications
• 32 Statistics
• 33 Matrices
• 34 Random Variables and Stochastic Processes
• 35 Random Digital Signal Processing
• 36 Spectral Estimation of Random Discrete Signals
• 37 Adaptive Filters
• 38 Band-Limited Functions and Sampling Theorem
• 39 Higher-Order Statistical Analysis
• 40 Stochastic Simulations
• 41 Nonlinear Digital Filtering
• 42 Wavelet Transforms
• 43 Trigonometric and Hyperbolic Functions
• 44 Algebra
• 45 Calculus
• Index