Rational transfer functions with minimum timebandwidth products

Comparison between Rational Gegenbauer and Modified Generalized Laguerre Functions Collocation Methods for Solving the Case of Heat Transfer Equations Arising in Porous Medium

On the identification of certain rational transfer functions from truncated autocovariance sequences

Let H(z) = 1k=0 Hkz k be a q p rational causal minimum phase transfer function, and let (Rn)n2 be the autocovariance sequence associated to the spectral density H(z)H (z ): In this paper, the authors address the identification problem of H(z) from the truncated autocovariance sequence (Rn)n6=0 for the case q > p:

Rational Transfer Functions with Minimum Impulse Response Moments

The lowpass systems with minimum higher order moments of the impulse response are presented. The systems have the largest possible energy concentration in time. The optimization of the transfer function parameters is carried out for the functions ranging from the second to the tenth order, with finite zeros. The optimum pole-zero positions suitable for filter design are given together with prop...

Hilbert Transform and Gain/Phase Error Bounds for Rational Functions

It is well known that a function analytic in the right half plane can be constructed from its real part alone, or (modulo an additive constant) from its imaginary part alone via the Hilbert transform. It is also known that a stable minimum phase transfer function can be reconstructed from its gain alone, or (modulo a multiplicative constant) from its phase alone, via the Bode gain/phase relatio...

Transfer Function Approximation and Identification Using Magnitude and Phase Criteria

In this paper, we show how convex optimization can be used for model reduction and identification of transfer functions. Two different methods are presented. In the first method magnitude functions are matched, and in the second method phase functions are matched. The weighted error bounds have direct interpretation in a Bode diagram. Both methods are suitable to engineers working with Bode dia...