Introduction -- Numbers -- Why Do We Use a Base 10 Number System? -- Why Do Computers Use Binary? -- Why Do Programmers Sometimes Use Base 16 (Hexadecimal)? -- Other Number Concepts -- Complex Numbers -- What Is a Signal? -- Analog Versus Digital -- What Is a System? -- What Is a Transform? -- Why Do We Study Sinusoids? -- Sinusoids and Frequency Plots -- Summations -- Summary -- Review Questions -- MATLAB -- Working with Variables -- Getting Help and Writing Comments -- MATLAB Programming Basics -- Scalars, Vectors, and Matrices -- Number Ranges -- Output -- Conditional Statements (if) -- Loops -- Continuing a Line -- Arithmetic Examples -- Functions -- How NOT to Plot a Sinusoid -- Plotting a Sinusoid -- Plotting Sinusoids a Little at a Time -- Calculating Error -- Sometimes 0 Is Not Exactly 0 -- Comparing Numbers with a Tolerance -- Rounding and Truncating -- MATLAB Programming Tips -- MATLAB Programming Exercises -- Other Useful MATLAB Commands -- Summary -- Review Questions -- Filters -- Parts of a Filter -- FIR Filter Structures -- Causality, Linearity, and Time-Invariance -- Multiply Accumulate Cells -- Frequency Response of Filters -- IIR Filters -- Trends of a Simple IIR Filter -- Correlation -- Summary -- Review Questions -- Sinusoids -- Review of Geometry and Trigonometry -- That Crazy Number $\pi $ -- Unit Circles -- Principal Value of the Phase Shift -- Amplitudes -- Harmonic Signals -- Representing a Digital Signal as a Sum of Sinusoids -- Spectrum -- Summary -- Review Questions -- Sampling -- Sampling -- Reconstruction -- Sampling and High-Frequency Noise -- Aliasing -- Aliasing Example -- Folding -- Locations of Replications After Sampling -- Nyquist Rate -- Bandpass Sampling -- Summary -- Review Questions -- The Fourier Transform -- Fast Fourier Transform Versus the Discrete Fourier Transform -- The Discrete Fourier Transform -- Plotting the Spectrum -- Zero Padding -- DFT Shifting Theory -- The Inverse Discrete Fourier Transform -- Forward and Inverse DFT -- Leakage -- Harmonics and Fourier Transform -- Sampling Frequency and the Spectrum -- Summary -- Review Questions -- That Crazy Number -- Reviewing Complex Numbers -- Some Interesting Properties of $j$ -- Rotating Counter-Clockwise -- }Rotating Clockwise -- Removing $j$ from $\sqrt {-a}$ -- Does $e$ Come from? -- Euler's Formula -- Alternate Form of Euler's Equation -- Euler's Inverse Formula -- Manipulating Vectors -- Adding Two Vectors -- Adding Vectors in General -- Adding Rotating Phasors -- Adding Sinusoids of the Same Frequency -- Multiplying Complex Numbers -- Adding Rotating Phasors: an Example -- Multiplying Phasors -- Summary -- Review Questions -- The Z Transform -- The Z-transform -- Replacing Two FIR Filters in Series -- Revisiting Sequential Filter Combination with $z$ --

Designed for upper division engineering and computer science students as well as engineers, this work emphasizes the practical applications of signal processing. Over 100 Matlab projects and wavelet techniques provide the applications of DSP, including image processing, games, filters, transforms, networking, parallel processing, and sound