Title :
Fractional wave packet transform
Author :
Ying Huang ; Suter, Bruce
Author_Institution :
Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
Abstract :
The short-time Fourier transform (STFT), or windowed Fourier transform, is the most widely used method in signal processing. We introduce the concept of the fractional wave packet transform (FRWPT), based on the idea of the fractional Fourier transform (FRFT) and wave packet transform (WPT). We show a version of the resolution of the identity and some properties of FRWPT connected with those of the FRFT and WPT
Keywords :
Fourier transforms; signal processing; signal representation; wavelet transforms; STFT; fractional Fourier transform; fractional wave packet transform; identity resolution; short-time Fourier transform; signal processing; signal representation; wave packet transform; windowed Fourier transform; Chirp; Continuous wavelet transforms; Energy resolution; Fourier transforms; Frequency; Kernel; Signal processing; Signal resolution; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Digital Signal Processing Workshop Proceedings, 1996., IEEE
Conference_Location :
Loen
Print_ISBN :
0-7803-3629-1
DOI :
10.1109/DSPWS.1996.555549
