Amitava Biswas

TL;DR: A new set of hybrid functions (HF) which evolved from the synthesis of sample-and-hold functions (SHF) and triangular functions (TF) is proposed which is employed for solving identification problem from impulse response data.

TL;DR: A new set of orthogonal hybrid functions (HF) which evolved from synthesis of sample-and-hold functions (SHF) and triangular functions (TF) is proposed which is used to approximate a time function in a piecewise linear manner with the mean integral square error (MISE) much less than block pulse function based approximation which always provides staircase solutions.

TL;DR: It is found that HF based approximation is a strong contender of approximations based upon orthogonal polynomials like Legendre polynomsials for solving third order non-homogeneous differential equations.

TL;DR: In this paper, a new set of orthogonal hybrid functions (HF) was proposed for linear control system analysis and synthesis problems, which evolved from the synthesis of Orthogonal Sample-and-Hold functions (SHF) and Orthogonal triangular functions (TF).

TL;DR: This paper characterizes oscillations found in block pulse function (BPF) domain identification of open loop first-order systems with step input by presenting a useful condition for occurrence of such oscillations.