Contents
1 What Is Digital Signal Processing?
What Is an Electrical Voltage?
Other Useful Periodic Analog Signals
3 Frequency and the Spectra of Analog Signals
A Composite-Signal Spectral Example
4 Digital Signals and How They Are Generated
Digital Signals: Definition #1
Digital Signals: Definition #2
How Digital Signals Are Generated
Digital Signal Generation by Observation
Digital Signal Generation by Software
Digital Signal Generation by Sampling an Analog Signal
The Sample Rate of a Digital Signal
An Example of Digital Signal Processing
Another Example of Digital Signal Processing
Two Important Aspects of Sampling Analog Signals
Analog-to-Digital Converter Output Numbers
5 Sampling and the Spectra of Digital Signals
Analog Signal Spectra—A Quick Review
How Sampling Affects the Spectra of Digital Signals
The Mischief in Sampling Oscillating Quantities
Sampling Analog Sine Wave Voltages
The Spectrum of a Digital Sine Wave Signal
The Spectrum of a Digital Voice Signal
The Spectrum of a Digital Music Signal
Analog-to-Digital Converter Output Numbers
6 How We Compute Digital Signal Spectra
The Discrete Fourier Transform
A Spectral Computation Example
The Fast Fourier Transform (FFT)—A Quick Review
The Continuous Wavelet Transform (CWT)
Undecimated or Redundant Discrete Wavelet Transforms (UDWT/RDWT)
Conventional (Decimated) Discrete Wavelet Transforms (DWT)
Decimal Numbers, a Base-10 Number System
Binary Numbers, a Base-2 Number System
Digital Hardware Is Easy to Build
Binary Data Is Resistant to Degradation
Binary Numbers and Analog-to-Digital Converters
Decibels Used to Describe Sound Power Values
Decibels Used to Measure Earthquakes
Decibels Used to Describe Signal Amplitudes
Decibels Used to Describe Filters
Sign-Magnitude Binary Number Format
Two’s Complement Binary Number Format
Alternate Binary Number Notation