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    3. Foundations of Digital Signal Processing: Complex Numbers

    Foundations of Digital Signal Processing: Complex Numbers

    Posted By: Free butterfly
    Date: 12 Apr 2023 17:04:14
    Foundations of Digital Signal Processing: Complex Numbers

    Foundations of Digital Signal Processing: Complex Numbers by Matt Carrick
    English | 2022 | ISBN: N/A | ASIN: B09VYHDX5B | 100 pages | EPUB | 2.08 Mb

    Would you believe that today’s most sophisticated wireless communications systems are based on the geometry and trigonometry taught in high school? It’s true! This book applies basic geometry and trigonometry to complex numbers to establish a proper mathematical foundation for a successful DSP career.

    This book answers the following questions and many others:
  • Why are complex numbers used in DSP?
  • Why does Euler's formula use cosine and sine?
  • Why are Cartesian form and Polar form complex numbers needed?
  • Why does geometry and trigonometry apply to complex numbers?
  • Why are radians used for angles?
    • The book also includes simple derivations for:
  • Deriving Euler's formula
  • Taking the derivative of cosine and sine
  • Proving the phase relationship between cosine and sine


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