In [The Delta Conjecture, Trans. Amer. Math. Soc., to appear] Haglund, Remmel, Wilson introduce a conjecture which gives a combinatorial prediction for the result of applying a certain operator to an elementary symmetric function. This operator, defined in terms of its action on the modified Macdonald basis, has played a role in work of Garsia and Haiman on diagonal harmonics, the Hilbert schem...

a question of the existence of delta-convergent sequences that vanish at the support of the limit Dirac delta function and gave an example of sequences of this type. It is a sequence of even functions that don't have a compact support. Motivated by the question in this paper we develop some results concerning delta sequences and show more examples of delta sequences of the type with or without ...

This paper presents a new technique in digital communications, called modelbased-predictive adaptive-delta-modulation (MBP-ADM). MBP-ADM uses system identification tools to identify a model of the signal which is used for prediction. The prediction helps the system to respond adaptively to a varying input signal, in order to achieve improved performance. The results show a substantial improveme...

This work combines compressive sensing and short word-length techniques to achieve localization target tracking in wireless sensor networks with energy-efficient communication between the network anchors fusion center. Gradient descent is performed using time-of-arrival (TOA) data which are indicative of distance thereby achieving range-based localization. The considered delta modulation sigma-...

The three most important factors in choosing a speech output processing method for a particular application are flexibility, bit rate and cost. Flexibility enables the user to change the binary speech patterns according to his needs; bit rate is the amount of binary information necessary to produce a certain length (I s) of continuous speech; and cost includes not only the LSl chip itself, but ...

Traditionally, delta-sigma modulation has been used for shaping of quantization noise. We present a modified version of delta-sigma modulation which also takes into account unwanted nonlinearities by feeding back not only the quantization error, but also the expected physical error. Behavioral-level simulations of a 5th-order structure showing an improvement of up to 4 effective bits are included.

The -modulated control of a single input, discrete time, linear stable system is investigated. The modulation direction is given by where 0 is a given, otherwise arbitrary, vector. We obtain necessary and sufficient conditions for the existence of periodic points of a finite order. Some concrete results about the existence of a certain order of periodic points are also derived. We also study th...

Extending an existing architecture for delta-sigma conversion of vector inputs, we suggest spectrally shaping quantization noise jointly in temporal and spatial frequency domains with delta-sigma modulation, and we examine the application of the idea to wideband antenna or acoustic arrays and to halftoning of video imagery.

This work investigates the commonly used Asynchronous Sigma Delta Modulator which consists of a schmitttrigger and a continuous time loop filter. A detailed analysis is presented to accurately predict the distortion of such modulators. The extracted expressions are compared with simulation results and they illustrate an excellent match. The results are also compared with a previous work by Roza...