Digital Filters

By: RICHARD W. HAMMING

Write A Review

Paperback | 10 July 1997

At a Glance

Paperback
304 Pages

Edition Type
Revised

Dimensions(cm)
20.9 x 13.6 x 1.91

Paperback

RRP $27.45

$26.75

or 4 interest-free payments of $6.69 with

Ships in 5 to 7 business days

Digital signals occur in an increasing number of applications: in telephone communications; in radio, television, and stereo sound systems; and in spacecraft transmissions, to name just a few. This introductory text examines digital filtering, the processes of smoothing, predicting, differentiating, integrating, and separating signals, as well as the removal of noise from a signal. The processes bear particular relevance to computer applications, one of the focuses of this book.
Readers will find Hamming's analysis accessible and engaging, in recognition of the fact that many people with the strongest need for an understanding of digital filtering do not have a strong background in mathematics or electrical engineering. Thus, this book assumes only a knowledge of calculus and a smattering of statistics (reviewed in the text). Adopting the simplest, most direct mathematical tools, the author concentrates on linear signal processing; the main exceptions are the examination of round-off effects and a brief mention of Kalman filters.
This updated edition includes more material on the z-transform as well as additional examples and exercises for further reinforcement of each chapter's content. The result is an accessible, highly useful resource for the broad range of people working in the field of digital signal processing.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Technology in General

Thing Explainer

Complicated Stuff in Simple Words

Paperback

RRP $34.99

$28.75

18%
OFF

If Anyone Builds It, Everyone Dies

The Case Against Superintelligent AI

Paperback

RRP $36.99

$29.75

20%
OFF

Good to Great

Why Some Companies Make the Leap... And Others Don't

Hardcover

RRP $55.00

$42.75

22%
OFF

Microsoft Planner For Dummies

Paperback

RRP $49.95

$38.75

22%
OFF

Resilient Space Systems Design : An Introduction - Ron Burch

$20.75

10%
OFF

Dynamic Characteristics of Layered Structures : Mathematical Modelling and Numerical Simulations - Ahmed Kadhim Hussein

$306.99

14%
OFF

Materials, Circuits and Devices : Volume 2: Volume 2 - Terry Grimwood

$126.75

Foundations of High Performance Computing

A Comprehensive Guide to Systems, Concepts, and Programming

Paperback

RRP $381.95

$338.75

11%
OFF

Unknown Enemy : The Hidden Nazi Force That Built the Third Reich - Dr Charles Dick

$306.75

11%
OFF

Microalgal Biofuels

Biotechnology and Biorefineries

Paperback

RRP $549.95

$482.75

12%
OFF

Foundations of Digital Twins

Paperback

RRP $342.95

$304.75

11%
OFF

Preface to the third edition
Introduction
What is a digital filter?
Why should we care about digital filters?
How shall we treat the subject?
General-purpose versus special-purpose computers
Assumed statistical background
The distribution of a statistic
Noise amplification in a filter
Geometric progressions
The frequency approach
Introduction
Aliasing
The idea of an eigenfunction
Invariance under translation
Linear systems
The eigenfunctions of equally spaced sampling
Summary
Some classical applications
Introduction
Least-squares fitting of polynomials
Least-squares quadratics and quartics
Modified least squares
Differences and derivatives
More on smoothing: decibles
Missing data and interpolation
A class of nonrecursive smoothing filters
An example of how a filter works
Integration: recursive filters
Summary
Fourier series: continuous case
Need for the theory
Orthogonality
Formal expansions
Odd and even functions
Fourier series and least squares
Class of functions and rate of convergence
Convergence at a point of continuity
Convergence at a point of discontinuity
The complex Fourier series
The phase form of a Fourier series
Windows
Introduction
Generating new Fourier series: the convolution theorems
The Gibbs phenomenon
Lanczos smoothing: The sigma factors
The Gibbs phenomenon again
Modified Fourier series
The von Hann window: the raised cosine window
Hamming window: raised cosine with a platform
Review of windows
Design of nonrecursive filters
Introduction
A low-pass filter design
Continuous design methods: a review
A differentiation filter
Testing the differentiating filter on data
New filters from old ones: sharpening a filter
Bandpass differentiators
Midpoint formulas
Smooth nonrecursive filters
Objections to ripples in a transfer function
Smooth filters
Transforming to the Fourier series
Polynomial Processing in general
The design of a smooth filter
Smooth bandpass filters
The Fourier integral and the sampling theorem
Introduction
Summary of results
The Sampling theorem
The Fourier integral
Some transform pairs
Band-limited functions and the Sampling theorem
The convolution theorem
The effect of a finite sample size
Windows
The uncertainty principle
Kaiser windows and optimization
Windows
Review of Gibbs Phenomenon and the Rectangular window
The Kaiser window: I subscript 0-sinh window
Derivation of the Kaiser formulas
Design of a bandpass filter
Review of Kaiser window filter design
The same differentiator again
A particular case of differentiation
Optimizing a design
A Crude method of optimizing
The finite Fourier series
Introduction
Orthogonality
Relationship between the discrete and continuous expansions
The fast Fourier transform
Cosine expansions
Another method of design
Padding out zeros
The spectrum
Review
11
Table of Contents provided by Publisher. All Rights Reserved.

Digital Filters

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Technology in General

Thing Explainer

Complicated Stuff in Simple Words

If Anyone Builds It, Everyone Dies

The Case Against Superintelligent AI

Good to Great

Why Some Companies Make the Leap... And Others Don't

Microsoft Planner For Dummies

Resilient Space Systems Design

An Introduction

Cellulose Nanomaterials

Science and Technology

How to Learn to Think like a Skilled Engineer or Scientist and How to Teach It

Carbon Nanotubes in Plant Growth and Stress Tolerance

Unique Properties

The Modern Energies

Jenny Stanford Series on Renewable Energy

Frugal Innovation

The Systematic Design of Resource-Intelligent Solutions

Frugal Innovation

The Systematic Design of Resource-Intelligent Solutions

Electric Vehicles

Advanced Technologies, Case Studies, and Applications

Gas Metal Arc Welding

Metal Joining and Additive Manufacturing

Nanotechnological Advancements in the Food Industry

Kay's Incredible Inventions

A fascinating and fantastically funny guide to inventions that changed the world (and some that definitely didn't)

Dynamic Characteristics of Layered Structures

Mathematical Modelling and Numerical Simulations

Advanced Analytics for Industry 4.0

Technology Industries

Materials, Circuits and Devices

Volume 2: Volume 2

Computational Mineral Physics

A Practical Guide for Earth Scientists

Foundations of High Performance Computing

A Comprehensive Guide to Systems, Concepts, and Programming

Unknown Enemy

The Hidden Nazi Force That Built the Third Reich

AI and Data Science in Medical Research

New Developments and Advances

Microalgal Biofuels

Biotechnology and Biorefineries

Foundations of Digital Twins

This product is categorised by