Classical results from group representation theory are used to gain insight into important properties of narrowband and wideband ambiguity functions and wavelet transforms. Wideband ambiguity functions are essentially affine wavelet transforms and narrowband ambiguity functions can be considered to be Heisenberg wavelet transforms. Important invariance properties of the ambiguity functions are consequences of the group representation theory. Examples are presented of derivations of wideband ambiguity function properties.
|Original language||English (US)|
|Number of pages||6|
|Journal||Conference Record - Asilomar Conference on Circuits, Systems & Computers|
|Publication status||Published - 1991|
All Science Journal Classification (ASJC) codes