On digital differentiators, Hilbert transformers, and half-band low-pass filters
Bibliographic Data
| ID | 20295487 |
|---|---|
| Authors | S C Dutta Roy (0000-0002-1723-3850, Indian Institute of Technology Indore), B Kumar (0000-0002-3842-8147), B V K Vijaya Kumar (0000-0001-7126-6381, Indian Institute of Technology Indore) |
| Year | 1989 |
| Volume | 32 |
| Issue | 3 |
| Pages | 314-318 |
| Publication date | 1989-01-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | IEEE Transactions on Education (JOURNAL) |
| Journal identifiers | ISSN: 0018-9359 • E-ISSN: 1557-9638 |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) (PUBLISHER) |
| DOI | 10.1109/13.34164 |
| OpenAlex | W2100571520 |
| Language | EN |
| References cited | 3 |
Interrelationships between the digital differentiator (DD), the digital Hilbert transformer (DHT), and the half-band low-pass (1/2-LPF) are brought out. A number of important properties confirming the close proximity of these filters are highlighted. Theoretical results are substantiated by transforming minimax relative error DDs to equiripple DHTs and equiripple 1/2-LPFs. Relations connecting their impulse responses and their frequency responses are brought out. The precise frequencies of ripple extrema and the magnitudes of their peaks are shown to be simple related to the corresponding values for the minimax relative error differentiators. >
Algorithm · Bandwidth (computing) · Chebyshev filter · Control theory (sociology) · Differentiator · Digital filter · Electrical engineering · Finite impulse response · Hilbert space · Hilbert transform · Infinite impulse response · Low-pass filter · Mathematical analysis · Mathematical optimization · Minimax · Ripple · Spectral density · Telecommunications · Transformer · Advanced Electrical Measurement Techniques · Analog and Mixed-Signal Circuit Design · Artificial Intelligence · Computer Science · Digital Filter Design and Implementation · Engineering · Mathematics
| Highly cited | No |
|---|