Title :
On the coefficient quantization of the Fourier basis
Author :
Nelson, James D B
Author_Institution :
Appl. Math. & Comput. Group, Cranfield Univ., UK
fDate :
7/1/2003 12:00:00 AM
Abstract :
A family of function bases is devised from a superposition of unit characteristic functions. It is shown that these simple bases can be used to perform a quantized Fourier transform. Furthermore, the transform can be implemented in an iterative scheme such that system resources are balanced in accordance with performance.
Keywords :
discrete Fourier transforms; quantisation (signal); Fourier basis; coefficient quantization; function bases; iterative scheme; quantized discrete Fourier transform; signal processing; unit characteristic functions superposition; Discrete Fourier transforms; Fourier transforms; Frequency; Iterative algorithms; Matrix converters; Quantization; Signal processing; Signal processing algorithms; Sparse matrices; System performance;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2003.812838
