Long employed in electrical engineering, the discrete Fourier
transform (DFT) is now applied in a range of fields through the use
of digital computers and fast Fourier transform (FFT) algorithms.
But to correctly interpret DFT results, it is essential to
understand the core and tools of Fourier analysis. Discrete and
Continuous Fourier Transforms: Analysis, Applications and Fast
Algorithms presents the fundamentals of Fourier analysis and their
deployment in signal processing using DFT and FFT algorithms.
This accessible, self-contained book provides meaningful
interpretations of essential formulas in the context of
applications, building a solid foundation for the application of
Fourier analysis in the many diverging and continuously evolving
areas in digital signal processing enterprises. It comprehensively
covers the DFT of windowed sequences, various discrete convolution
algorithms and their applications in digital filtering and filters,
and many FFT algorithms unified under the frameworks of mixed-radix
FFTs and prime factor FFTs. A large number of graphical
illustrations and worked examples help explain the concepts and
relationships from the very beginning of the text.
Requiring no prior knowledge of Fourier analysis or signal
processing, this book supplies the basis for using FFT algorithms
to compute the DFT in a variety of application areas.
General
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