Table 1 Some common notation
From: On a new Wigner-Ville distribution associated with linear canonical transform
Notation | Description |
|---|---|
\(\mathbb {R}\) | The set of real number |
∗ | The complex conjugate operator |
\(\circledast \) | The convolution operator of Fourier transform |
|a| | The modules of a |
δ(t) | The continuous-time Dirac function |
x(t) | The continuous-time signal with finite energy |
\(L^{2}(\mathbb {R})\) | The set of square-integrable function on \(\mathbb {R}\) |
\(\mathcal {L}_{A}\) | The LCT operator with parameter matrix A |
〈f(t),g(t)〉 | L2-inner product between function f(t) and g(t) |