Analog weight buffering strategy for CNN chips

Large, gray-scale CNN chips employ analog signals to achieve high-density in the internal distribution of the template parameters. Despite the design strategies adopted at the circuitry employed to implement the weights, accuracy is ultimately limited by the controlling signals. This paper presents a buffering strategy intended to achieve 8-bit equivalent accuracy in the distribution of the internal analog signals, as employed in the chips ACE4k, ACE16k, and CACE1k.Comisión Interministerial de Ciencia y Tecnología TIC1999-082

Continuous Fourier transform method and apparatus

An input analog signal to be frequency analyzed is separated into N number of simultaneous analog signal components each identical to the original but delayed relative to the original by a successively larger time delay. The separated and delayed analog components are combined together in a suitable number of adders and attenuators in accordance with at least one component product of the continuous Fourier transform and analog signal matrices to separate the analog input signal into at least one of its continuous analog frequency components of bandwidth 1/N times the bandwidth of the original input signal. The original analog input signal can be reconstituted by combining the separate analog frequency components in accordance with the component products of the continuous Fourier transform and analog frequency component matrices. The continuous Fourier transformation is useful for spectrum analysis, filtering, transfer function synthesis, and communications

Cartographic distortions make dielectric spacetime analog models imperfect mimickers

It is commonly assumed that if the optical metric of a dielectric medium is identical to the metric of a vacuum space-time then light propagation through the dielectric mimics light propagation in the vacuum. However, just as the curved surface of the Earth cannot be mapped into a flat plane without distortion of some surface features, so too is it impossible to project the behavior of light from the vacuum into a dielectric analog residing in Minkowski space-time without introducing distortions. We study the covariance properties of dielectric analog space-times and the kinematics of a congruence of light in the analog, and show how certain features can be faithfully emulated in the analog depending on the choice of projection, but that not all features can be simultaneously emulated without distortion. These findings indicate conceptual weaknesses in the idea of using analog space-times as a basis for transformation optics, and we show that a certain formulation of transformation optics closely related to analog space-times resolves these issues.Comment: 15 pages, 4 figure