Table 1 Reconstruction performances comparison
From: Discrete linear canonical wavelet transform and its applications
Metrics | Definition | Reconstructed signal | Proposed method | Stern’s method [4] | Janssen’s method [28] |
|---|---|---|---|---|---|
NMSE | \(\frac {{\left \|{\hat f(t) - f(t)} \right \|_{{L^{2}}}^{2}}}{\left \| {f(t)} \right \|_{L^{2}}^{2}}\) | Real part | − 27.1518 dB | − 24.7675 dB | 2.4739 dB |
|  |  | Imaginary part | − 27.0527 dB | − 26.0184 dB | 3.0201 dB |
Normalized L∞ error | \(\frac {{\left \| {\hat f(t) - f(t)} \right \|}_{L^{\infty }}}{{\left \| {f(t)}\right \|}_{L^{\infty }}}\) | Real part | − 26.4773 dB | − 5.9511 dB | 5.1289 dB |
|  |  | Imaginary part | − 26.9728 dB | − 8.2247 dB | 6.0701 dB |