Piotr Pawlowski

Learn More
If p(z) is univariate polynomial with complex coefficients having all its zeros inside the closed unit disk, then the Gauss-Lucas theorem states that all zeros of p′(z) lie in the same disk. We study the following question: what is the maximum distance from the arithmetic mean of all zeros of p(z) to a nearest zero of p′(z)? We obtain bounds for this(More)
A W-CDMA direct-conversion front-end receiver chip consisting of a low-noise amplifier (LNA), a dual-gain RF variable-gain amplifier (RF-VGA), two direct-down-conversion mixers, a I/Q quadrature generator, and a base-band five-gain-stage VGA is designed and manufactured in a 0.25 /spl mu/m IBM SiGe BiCMOS production process. A very low DC offset value (<300(More)
The paper deals with the problem of designing digital circuits based on the current-mode gates novel digital elements operating with constant, continuous power supply current. The purpose is the provision of a high level of the noise immunity of the chips which compose both analog and digital circuits. The logical properties of this gate basis and several(More)
The paper deals with the problem of design and FPGAbased realization of digital circuits with the current-mode gates – novel digital gates operating with constant, continuous power supply current. The purpose is the provision of a high level of noise immunity of chips, which contain both analog and digital circuits. Using proposed approach to design digital(More)
This paper presents new structures of combinatorial and constant coefficient multipliers based on the current-mode gates – digital elements operating with constant, continuous power supply current. Current mode circuits do not perturb the analogue part of the chip integrated on the same die through the parasitic coupling across the substrate with the same(More)
This paper presents several architectures of circuits destined to the realization of the modular exponentiation operation c = (m<sup>e</sup>) mod n, which is the basic and most time-consuming operation in the cryptographic algorithm RSA. Then, a modification of one of the presented architectures is shown, which was carried out to enable the realization of(More)
The paper deals with the problem of design and FPGAbased realization of digital circuits with the current-mode gates – novel digital gates operating with constant, continuous power supply current. The purpose is the provision of a high level of noise immunity of chips, which contain both analog and digital circuits. Using proposed approach to design digital(More)
Shape deformation of the thin, area non-compressible spherical shell separating two differ­ ent media, subjected to an external, alternating, homogeneous electric field is considered. The function relating shape deformation of the shell to the shear stress in its plane is presented. Shear stress develops as a result of Maxwell stress acting on both shell(More)