Shunsuke Yamaki

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This paper proposes a novel approach to L2sensitivity minimization problem of state-space digital filters subject to L2-scaling constraints. The proposed approach reduces the constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. As a result, iterative algorithms for the L2-sensitivity minimization(More)
This paper proposes a fast convergence algorithm for L2-sensitivity minimization problem of two-dimensional (2D) separable-denominator state-space digital filters subject to L2-scaling constraints. The proposed algorithm reduces a constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation, and minimizes(More)
This paper proposes a closed form solution to L2-sensitivity minimization of 2nd-order statespace digital filters subject to L2-scaling constraints. The proposed solution reduces a constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Furthermore, by restricting ourselves to the case of 2nd-order(More)
This brief proposes a systematic approach to synthesis of limit cycle free state-space digital filters with minimum 2-sensitivity. We synthesize the minimum 2-sensitivity realization adopting the balanced realization as an initial realization. The coordinate transformation matrix which transforms the balanced realization into the minimum 2-sensitivity(More)
This letter presents explicit expressions of the balanced realization of second-order digital filters with real poles. We consider two cases of second-order digital filters: that of real and distinct poles and that of real and multiple poles. Simple formulas are derived for the synthesis of the balanced realizations of these second-order digital filters.
This paper proposes closed form solutions to the L2sensitivity minimization subject to L2-scaling constraints for second-order state-space digital filters with real poles. We consider two cases of secondorder digital filters: distinct real poles and multiple real poles. The proposed approach reduces the constrained optimization problem to an unconstrained(More)
This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the <i>L</i><sub>2</sub>-sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all(More)
This letter proposes closed form solutions to the L2sensitivity minimization of second-order state-space digital filters with real poles. We consider two cases of second-order digital filters: distinct real poles and multiple real poles. In case of second-order digital filters, we can express the L2-sensitivity of second-order digital filters by a simple(More)
This paper analyzes effects of stochastic phase spectrum differences on phase-only correlation (POC) functions. We assume phase spectrum differences between two signals are statistically constant for frequency indices. That is, they have identical probability density function for all frequency indices. We derive the general expressions of the expectation(More)