Digital Limit Situations

Existential vulnerability: toward a psychopathology of limit situations.

Jaspers' concept of limit situations seems particularly appropriate not only to elucidate outstanding existential situations in general, but also basic preconditions for the occurrence of mental disorders. For this purpose, the concept is first explained in Jaspers' sense and then related to an 'existential vulnerability' of mentally ill persons that makes them experience even inconspicuous eve...

Functional Limit Theorems for Digital Expansions

The main purpose of this paper is to discuss the asymptotic behavior of the difference sq,k(P (n))−k(q−1)/2 where sq,k(n) denotes the sum of the first k digits in the q-ary digital expansion of n and P (x) is an integer polynomial. We prove that this difference can be approximated by a Brownian motion and obtain under special assumptions on P a Strassen’s type version of the law of the iterated...

Reviewing Constant-Input Limit Cycle-Free Second-Order Digital Filters

The suppression of constant-input limit cycles when designing second-order-state-space digital filters is addressed in this paper. A set of three sections yet proposed in the literature is revisited, focusing on the specific block called type III structure. It is shown that there is an optimum version of that section, what is the main contribution of the paper. The noise performance of the opti...

Optically Digital Communication and Processing at the Quantum Limit

Psychophysical thresholds and digital camera sensitivity: the thousand-photon limit

In many imaging applications, there is a tradeoff between sensor spatial resolution and dynamic range. Increasing sampling density by reducing pixel size decreases the number of photons each pixel can capture before saturation. Hence, imagers with small pixels operate at levels where photon noise limits image quality. To understand the impact of these noise sources on image quality we conducted...