proposition 17.85 Inversion and Parseval for the DFT
open in the book ·
parts/02-mathematical-methods/15-fourier-integral-transforms.tex:2987
· p. 705
Rests on
- depends_on definition 17.84 Discrete Fourier transform ¶
- proves proof ch:15-fourier-integral-transforms@proof-52 ¶
Supports
- depends_on proposition 17.86 The DFT is exact for a band-limited periodic signal ¶
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 |
→ | Discrete Fourier transform | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3001 |
depends_on |
← | The DFT is exact for a band-limited periodic signal | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3024 |
proves |
← | ch:15-fourier-integral-transforms@proof-52 | declared | parts/02-mathematical-methods/15-fourier-integral-transforms.tex:3004 |