Closed-Form for Infinite Sum in Bandlimited CDMA

2004 ◽  
Vol 8 (3) ◽  
pp. 138-140 ◽  
Author(s):  
L.A. Jatunov ◽  
V.K. Madisetti
Keyword(s):  
Closed Form ◽  
Infinite Sum

scholarly journals An extension of Jensen's form

2001 ◽  
Vol 63 (2) ◽  
pp. 279-298
Author(s):  
A. Sofo
Keyword(s):  
Closed Form ◽  
Hypergeometric Series ◽  
Arbitrary Order ◽  
Delay Systems ◽  
Characteristic Functions ◽  
Infinite Sums ◽  
Infinite Sum

Arbitrary order forced difference-delay systems are considered, from which generated infinite sums of Binomial variation may be represented in closed form. It will be proved that the infinite sums may be expressed in a closed form which depends on dominant zeros of the polynomial characteristic functions. A connection between the infinite sum and generalised hypergeometric series will also be demonstrated.

scholarly journals Summing series arising from integro-differential-difference equations

2000 ◽  
Vol 41 (4) ◽  
pp. 473-486 ◽  
Author(s):  
P. Cerone ◽  
A. Sofo
Keyword(s):  
Laplace Transform ◽  
Closed Form ◽  
Difference Equations ◽  
Renewal Processes ◽  
First Order ◽  
Infinite Sum

By applying Laplace transform theory to solve first-order homogeneous differential-difference equations it is conjectured that a resulting infinite sum of a series may be expressed in closed form. The technique used in obtaining a series in closed form is then applied to other examples in teletraffic theory and renewal processes.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling
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