Title :
Generalized transforms
Author :
Elliott, Douglas F.
Author_Institution :
Rockwell International Anaheim, Calif
fDate :
12/1/1975 12:00:00 AM
Abstract :
A recent class of continuous transforms is generalized to give an infinite number of new transforms. A frequency interpretation of the transform base functions gives fast generalized transform (FGT) matrices using standard digit reversal techniques. Examples of FGT factorizations are given. Advantages of the generalized transforms include continuous transform properties for system design and analysis and FGT algorithms for practical applications using digital hardware.
Keywords :
Algorithm design and analysis; Compaction; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Filters; Flyback transformers; Frequency; Hardware; System analysis and design;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1975.1162746
