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Numerical instability of deconvolution operation via block pulse functions |
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| Authors: | Anish Deb Gautam Sarkar Priyaranjan Mandal |
| Institution: | a Department of Applied Physics, Calcutta University, 92, A.P.C. Road, Kolkata 700 009, India b Department of Electrical Engineering, Academy of Technology, Hooghly 712 121, India c Department of Electrical Engineering, JIS College of Engineering, Kalyani, Nadia 741 235, India |
| Abstract: | This paper characterizes oscillations found in block pulse function (BPF) domain identification of open loop first-order systems with step input. A useful condition for occurrence of such oscillations is presented mathematically. For any positive value of ‘ah’, oscillations are observed to occur, where h is the width of BPF domain sub-interval and 1/a is the time constant of the first-order system under consideration. |
| Keywords: | Block pulse functions Identification Oscillation |
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