A Digital Signal Processing Primer : With Applications to Digital Audio and Computer Music / Edition 1

A Digital Signal Processing Primer : With Applications to Digital Audio and Computer Music / Edition 1

5.0 1
by Ken Steiglitz, Kenneth Steiglitz
     
 

ISBN-10: 0805316841

ISBN-13: 9780805316841

Pub. Date: 01/05/1996

Publisher: Prentice Hall

This new book by Ken Steigliz offers an informal and easy-to-understand introduction to digital signal processing, emphasizing digital audio and applications to computer music. A DSP Primer covers important topics such as phasors and tuning forks; the wave equation; sampling and quantizing; feedforward and feedback filters; comb and string filters; periodic sounds;

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Overview

This new book by Ken Steigliz offers an informal and easy-to-understand introduction to digital signal processing, emphasizing digital audio and applications to computer music. A DSP Primer covers important topics such as phasors and tuning forks; the wave equation; sampling and quantizing; feedforward and feedback filters; comb and string filters; periodic sounds; transform methods; and filter design. Steiglitz uses an intuitive and qualitative approach to develop the mathematics critical to understanding DSP.

A DSP Primer is written for a broad audience including:

  • Students of DSP in Engineering and Computer Science courses.
  • Composers of computer music and those who work with digital sound.
  • WWW and Internet developers who work with multimedia.
  • General readers interested in science that want an introduction to DSP.

Features:

  • Offers a simple and uncluttered step-by-step approach to DSP for first-time users, especially beginners in computer music.
  • Designed to provide a working knowledge and understanding of frequency domain methods, including FFT and digital filtering.
  • Contains thought-provoking questions and suggested experiments that help the reader to understand and apply DSP theory and techniques.

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Product Details

ISBN-13:
9780805316841
Publisher:
Prentice Hall
Publication date:
01/05/1996
Edition description:
1st ed
Pages:
314
Product dimensions:
7.40(w) x 9.10(h) x 0.80(d)

Table of Contents

Preface.

1. Tuning Forks, Phasors.

Where to Begin. Simplest Vibrations. Adding Sinusoids. Briefly Back to Newton's Second Law. Complex Numbers. Multiplying Complex Numbers. Euler's Formula. The Tine as Phasor. Beats. Notes. Problems.

2. Strings And Pipes, The Wave Equation.

A Distributed Vibrating System. The Wave Equation. Motion of a Vibrating String. Reflection from a Fixed End. Vibration of a String Fixed at Two Points. The Vibrating Column of Air. Standing Waves in a Half-Open Tube. Fourier Series. Notes. Problems.

3. Sampling and Quantizing.

Sampling a Phasor. Aliasing More Complicated Signals. Quantizing. Dynamic Range. Remedies: Companding and Prefiltering. The Shape of Things to Come. Notes. Problems.

4. Feedforward Filters.

Delaying a Phasor. A Simple Filter. Digital Filters. A Big Filter. Delay as an Operator. The z-plane. Phase Response. Inverse Comb Filters. Notes. Problems.

5. Feedback Filters.

Poles. Stability. Resonance and bandwidth. Resons. Designing a reson filter. Other incarnations of reson. Dropping in zeros: an improved reson. A powerful feedback filter. Notes. Problems.

6. Comb and String Filters.

Comb Filters. Analogy to Standing Waves. Plucked-String Filters. Resonances of the Plucked-String Filter. The First-Order Allpass Filter. Allpass Phase Response. Tuning Plucked-String Filters. Notes. Problems.

7. Periodic Sounds.

Coordinate Systems. Fourier Series. Fourier Series of a Square Wave. Spectral Decay. Pulses. Continuous-Time Buzz. Digital Buzz. Synthesis by Spectrum Shaping. Generating Variable Frequency Buzz. Notes. Problems.

8. The Discrete Fourier Transform and FFT.

Circular Domains. Discrete Fourier Transform(DFT) Representation. The Discrete Frequency Domain. Measuring Algorithm Speed. Divide and Conquer. Decimation-In-Time FFT. Programming Considerations. The Inverse DFT. A Serious Problem. Notes. Problems.

9. Z-Transform and Convolution.

Domains. The z-transform. Orthogonality. z-transform of the Impulse and Step. A Few More z-transforms. z-transforms and Transfer Functions. Convolution. Inverse z-transform. Stability Revisited. Notes. Problems.

10. Using the FFT.

Switching Signals On. Switching Signals On and Off. Resolution. The DFT of a Finite Stretch of Phasor. The Hamming Window. Windowing in General. Spectrograms. Notes. Problems.

11. Aliasing and Imaging.

Taking Stock. Time/Frequency Correspondences. Frequency Aliasing Revisited. Digital to Analog Conversion. Imaging. Nyquist's Theorem. The Uncertainty Principle. Oversampling. Notes. Problems.

12. Designing Feedforward Filters.

Taxonomy. The Form of Feedforward Filters. Specifications. A Design Algorithm: METEOR. Half-band Example. Tradeoffs. Example: Notch Filter With a Smoothness Constraint. Example: Window Design. A Programming Consideration. Notes. Problems.

13. Designing Feedback Filters.

Why the General Problem is Difficult. The Butterworth Frequency Response. The Butterworth Poles and Zeros. More General Specifications. A Lowpass/Highpass Flip. Connection with Analog Filters. Implementation. A Trap. Feedback vs. Feedforward. Notes. Problems.

14. Audio and Musical Applications.

The CD Player. Reverb. AM and Tunable Filters. FM Synthesis. The Phase Vocoder. An Audio Microscope/Macroscope. Notes. Problems.

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