definition 17.84 Discrete Fourier transform
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2979
· p. 705
- ground object -- no derivation owed
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
- depends_on proposition 17.86 The DFT is exact for a band-limited periodic signal ¶
-
depends_on
proposition 17.85
Inversion and Parseval for the DFT
¶
- depends_on proposition 17.86 The DFT is exact for a band-limited periodic signal ¶ ↺
- depends_on theorem 17.87 Cooley–Tukey ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The DFT is exact for a band-limited periodic signal | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3024 |
depends_on |
← | Inversion and Parseval for the DFT | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3001 |
depends_on |
← | Cooley–Tukey | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3051 |