Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
Communication systems
Radar signal processing AM demodulation |
| gptkbp:component |
Hilbert transform of signal
Original real-valued signal |
| gptkbp:describes |
Complex-valued signal
|
| gptkbp:field |
gptkb:Mathematics
gptkb:signal_processing |
| https://www.w3.org/2000/01/rdf-schema#label |
Analytic signal
|
| gptkbp:introduced |
gptkb:Dennis_Gabor
|
| gptkbp:introducedIn |
1946
|
| gptkbp:location |
H[x(t)] is Hilbert transform of x(t)
x(t) is real signal |
| gptkbp:mathematical_form |
x_a(t) = x(t) + i H[x(t)]
|
| gptkbp:property |
No negative frequency components
|
| gptkbp:relatedTo |
gptkb:Fourier_transform
Complex envelope Quadrature signal |
| gptkbp:usedFor |
gptkb:Hilbert_transform
Envelope detection Instantaneous frequency Instantaneous phase |
| gptkbp:bfsParent |
gptkb:Hilbert_Transform
|
| gptkbp:bfsLayer |
7
|