Design of optimal 2-D FIR differentiators with quadrantally symmetric properties using the L1-method
- Resource Type
- Conference
- Authors
- Aggarwal, Apoorva; Kumar, Manjeet; Rawat, Tarun K.; Upadhyay, D.K.
- Source
- 2016 10th International Conference on Signal Processing and Communication Systems (ICSPCS) Signal Processing and Communication Systems (ICSPCS), 2016 10th International Conference on. :1-6 Dec, 2016
- Subject
- Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
Fields, Waves and Electromagnetics
Signal Processing and Analysis
Finite impulse response filters
Optimization
Digital systems
Passband
Algorithm design and analysis
Matrix decomposition
2-D Digital differentiator
Finite impulse response
Quandrantally symmetric
L1-method
- Language
In this paper the design of 2-dimensional finite impulse response (2-D FIR) digital differentiator (DD) with quadrantally odd symmetric impulse response is presented. The L 1 -method is developed to design the 2-D system and minimize the L 1 -error. The design problem of 2-D FIR-DD is formulated as an optimization problem in order to compute the system coefficients with quadrantally odd symmetric properties. Finally, the design examples of 2-D differentiator of different order is demonstrated and analyzed in terms of the L 1 -error and elapsed time. The proposed 2-D FIR L 1 -DD is also compared with the existing 2-D differentiators designed using metaheuristic techniques and is observed to yield least L 1 -error.