Linear Systems Properties: A Quick Reference / Edition 1

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $22.23
Usually ships in 1-2 business days
(Save 64%)
Other sellers (Paperback)
  • All (16) from $22.23   
  • New (8) from $50.25   
  • Used (8) from $22.23   


This pocket book serves as an immediate reference for the various formulae encountered in linear systems, control systems, probability, communication engineering, signal processing, quantum mechanics, and electromagnetic field theory. It includes novel results on complex convolutions; clearly explains real and complex matrix differentiation methods; provides an unusual amount of orthogonal functions; and presents properties of Fourier series, Fourier transforms, Hilbert transforms, Laplace transforms, and z-transforms. Singular value decomposition techniques for matrix inversion are also clearly presented.
This new edition adds material from:

  • Orthogonal functions
  • Linear algebra
  • Matrix analysis
  • Matrix and vector differentiation
  • Singular value decomposition
  • State space techniques
    Other discussions include:
  • Discrete linear and circular convolution
  • Gram-Schmidt orthogonalization procedure
  • Graphical derivation of DFT from CFT
  • Truncation windows
  • Eigenvalues and eigenvectors of matrices
    This succint resource will be particularly useful as a supplement to regular texts, designed for the master's or doctoral student as well as the advanced undergraduate.
Read More Show Less

Product Details

  • ISBN-13: 9780849322914
  • Publisher: Taylor & Francis
  • Publication date: 3/6/1998
  • Series: Control Series, #1
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 304
  • Product dimensions: 4.30 (w) x 6.49 (h) x 0.63 (d)

Table of Contents

Mathematical Formulae
Impulse Function Modeling
Signal Properties
Continuous Time Convolution
Discrete Linear and Circular Convolution
Eigenfunctions and Orthogonal Polynomials
Useful Orthogonal Polynomials
Gram-Schmidt Orthogonalization Procedure
Properties of Continuous Fourier Series
Fourier Transform from Fourier Series
Properties of Continuous Fourier Transforms
Continuous Fourier Transform Pairs
Inverse Fourier Transforms (Contour Integration)
Derivation of Hilbert Transforms
Convergence of Bilateral Laplace Transforms
Properties of Bilateral Laplace Transforms
Unilateral Laplace Transform Pairs
Complex Convolution (Laplace Transforms)
Properties of Discrete-Time Fourier Series
Properties of Discrete-Time Fourier Transforms
**Properties of Discrete Fourier Transforms
Graphical Derivation of DFT from CFT
Analytical Derivation of FFT Algorithm
Convergence of Bilateral z-Transforms
Properties of Bilateral z-Transforms
Unilateral z-Transform Pairs
Complex Convolution (z-Transforms)
Truncation Windows
Linear Spaces
Basic Theory of Matrices
Eigenvalues and Eigenvectors of Matrices
Singular Value Decomposition (SVD)
Vector and Matrix Differentiation
State Space Techniques

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)