This suite of 32 Maple worksheets provides the diagrams from the acclaimed book "A New Twist to Fourier Transforms" and the code needed to derive and modify them. The worksheets enable engineering instructors to illustrate Fourier transforms and their diverse applications in a dynamic and impactful way. Emphasis is on visual representation of spiral and helical functions.
Applications include:
- Radar and sonar echo signals
- Television signals
- Modulation and demodulation
- Circularly polarized waves
- And more
32 Maple worksheets providing plots and animations on the following topics, which correspond to the chapters in the book "A New Twist to Fourier Transforms":
- The Fourier transform and the helix
- Spiral and helical functions
- Fourier transforms
- Continuous, finite and discrete Fourier transforms
- Tapering functions
- Fourier transforms in statistics
- Noise and pseudo-random signals