A Quadrature Signals Tutorial: Complex, But Not Complicated

Understanding the 'Phasing Method' of Single Sideband Demodulation

Complex Digital Signal Processing in Telecommunications

Introduction to Sound Processing

Introduction of C Programming for DSP Applications

**Search Mathematics of the DFT**

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This chapter introduces complex numbers, beginning with factoring polynomials, and proceeding on to the complex plane and Euler's identity.

- Factoring a Polynomial
- The Quadratic Formula
- Complex Roots
- Fundamental Theorem of Algebra
- Complex Basics
- The Complex Plane
- More Notation and Terminology
- Elementary Relationships
- Euler's Identity
- De Moivre's Theorem
- Conclusion
- Complex_Number Problems

Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.

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