The product of the distances of a point inside a regular polytope to its vertices

Chakerian, G. D.; Klamkin, Murray S.

doi:10.1007/s00022-006-1813-7

Search citation statements

Order By: Relevance

Paper Sections

Select...

Appendix a Product Distances From A Circle Point To The Vert...1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We will adapt a result in [40,Sec.5] to derive for any regular N −gon the extremal products of distances from a point on a circle centered at the centroid to all its vertices, see Figure 15a. Theorem 4.…”

Section: Appendix a Product Distances From A Circle Point To The Vert...mentioning

confidence: 99%

Noncoherent Short-Packet Communication via Modulation on Conjugated Zeros

Walk¹,

Jung²,

Hassibi³

2018

Preprint

View full text Add to dashboard Cite

We introduce a novel blind (noncoherent) communication scheme, called modulation on conjugatereciprocal zeros (MOCZ), to reliably transmit short binary packets over unknown finite impulse response systems as used, for example, to model underspread wireless multipath channels. In MOCZ, the information is modulated onto the zeros of the transmitted signals z−transform. In the absence of additive noise, the zero structure of the signal is perfectly preserved at the receiver, no matter what the channel impulse response (CIR) is. Furthermore, by a proper selection of the zeros, we show that MOCZ is not only invariant to the CIR, but also robust against additive noise. Starting with the maximum-likelihood estimator, we define a low complexity and reliable decoder and compare it to various state-of-the art noncoherent schemes.

show abstract

Section: Appendix a Product Distances From A Circle Point To The Vert...mentioning

confidence: 99%