This paper reports comparative analyses of phase noise in Hartley, Colpitts, and common-source cross-coupled differential pair LC oscillator topologies in 28 nm CMOS technology. The impulse sensitivity function is used to carry out both qualitative and quantitative analyses of the phase noise exhibited by each circuit component in each circuit topology with oscillation frequency ranging from 1 ...

7 We use mathematical analysis and numerical simulations to study the e ects of recurrent synaptic connections in neural networks. These recurrent e ects can be analyzed by expanding 9 a spike probability function about the membrane potential in the absence of connections. This expansion can be written as a series of loops representing the recurrent signal transmission. 11 Conditions for conver...

—A low-phase-noise, low-power Ka-band VoltageControlled Oscillator (VCO) using cross-coupled pair configuration is presented. The Ka-band VCO circuit uses 0.18 μm SiGe BiCMOS technology. The VCO has low phase noise of -114.6 dBc/Hz at 1 MHz offset from 32.12 GHz carrier frequency and can be tuned from 30.17 to 33.48 GHz. The figure of merit is -202.1 dBc/Hz. The power consumption of the VCO wi...

Coupled Nonlinear Schrödinger equations, linked by cross modulation terms, arise in both nonlinear optics and in Rossby waves in the atmosphere and ocean. Numerically, Akhmediev and Ankiewicz and Haelterman and Sheppard discovered a class of soiltary waves which are composed of a tall, narrow sech-shaped soliton in one mode, bound to a pair of short, wide sech-shaped peaks in the other mode or ...

Abstract: In the present article, a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both ends is developed based on the power series expansions. The beam is assumed to be made of linear elastic and isotropic material with constant Poisson ratio. Material properties including the ...

Novel explicit rogue wave solutions of the coupled Hirota equations are obtained by using the Darboux transformation. In contrast to the fundamental Peregrine solitons and dark rogue waves, we present an interesting rogue-wave pair that involves four zero-amplitude holes for the coupled Hirota equations. It is significant that the corresponding expressions of the rogue-wave pair solutions conta...

Coupled oscillators are among the simplest composite quantum systems in which interplay of entanglement and interaction may be explored. We examine effects coupling on fluctuations coordinates momenta a single-excitation entangled Bell-like state. discover that acts as mechanism for noise transfer between one pair coordinate momentum another. Through this mechanism, uncertainty product is lower...

Pair coupled cluster doubles (pCCD) has been recently studied as a method capable of accounting for static correlation with low polynomial cost. We present three combinations of pCCD with Kohn-Sham functionals of the density and on-top pair density (the probability of finding two electrons on top of each other) to add dynamic correlation to pCCD without double counting. With a negligible increa...

An iterative algorithm is constructed to solve the generalized coupled Sylvester matrix equations AXB − CYD,EXF − GYH M,N , which includes Sylvester and Lyapunov matrix equations as special cases, over generalized reflexive matrices X and Y . When the matrix equations are consistent, for any initial generalized reflexive matrix pair X1, Y1 , the generalized reflexive solutions can be obtained b...