Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications

15 years 9 months ago

Download ccrma.stanford.edu

"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the main focus of this book. The DFT is normally encountered in practice as a Fast Fourier Transform (FFT) i.e., a high-speed algorithm for computing the DFT. FFTs are used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (e.g., MPEG-II AAC), spectral modeling sound synthesis, and many other applications"

Julius O. Smith III

Real-time Traffic

DFT | Discrete Fourier Transform |

posted by scimaster

Post Info
More Details (+)

Added	04 Mar 2009
Updated	04 Mar 2009
Authors	Julius O. Smith III

Table of Content

Introduction to the DFT
Introduction to Complex Numbers
Proof of Euler's Identity
Sinusoids and Exponentials
Geometric Signal Theory
The DFT Derived
Fourier Theorems for the DFT
Example Applications of the DFT

Comments (0)

	Introduction to Logic 1569 views
	Linear Matrix Inequalities in System and Control Theory 1455 views
	Linear Controller Design Limits of Performance 1500 views
	Spatial Reasoning: Theory and Practice 1331 views
	Spatial Augmented Reality Merging Real and Virtual Worlds 1752 views

Sciweavers

Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications

DFT | Discrete Fourier Transform |

Table of Content

Explore & Download

Productivity Tools

Document Tools

Image Tools

Sciweavers