Title :
Time-frequency scaling property of Discrete Fourier Transform (DFT)
Author :
Talwalkar, Sumit A. ; Marple, S. Lawrence, Jr.
Author_Institution :
Motorola, Inc., IL, USA
Abstract :
This paper presents the analogue of the time or frequency scaling theorem of continuous time/frequency Fourier Transform (FT) to the realm of Discrete Fourier Transform (DFT). The scaling property applies to scaling by integers which are relatively prime to the length of the DFT. The time reversal property of DFT is identified as a special case of this theorem.
Keywords :
discrete Fourier transforms; time-frequency analysis; DFT; discrete Fourier transform; time reversal property; time-frequency scaling property; Arithmetic; Convolution; Discrete Fourier transforms; Discrete transforms; Fourier transforms; H infinity control; Interpolation; Linear systems; Linearity; Time frequency analysis; DFT; Time/Frequency Scaling;
Conference_Titel :
Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
Conference_Location :
Dallas, TX
Print_ISBN :
978-1-4244-4295-9
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2010.5495902
