scholarly journals Remarks on Talagrand’s deviation inequality for Rademacher functions

1991 ◽  
pp. 72-77 ◽  
Author(s):  
William B. Johnson ◽  
Gideon Schechtman
Keyword(s):  
Rademacher Functions ◽  
Deviation Inequality

Design of 8-point DFT based on Rademacher Functions

2016 ◽  
Vol 6 (4) ◽  
pp. 1551
Author(s):  
Zulfikar Zulfikar ◽  
Hubbul Walidainy
Keyword(s):  
Circuit Design ◽  
Rademacher Functions ◽  
Previous Design ◽  
Internal Connections

This paper presents a new circuit design for 8-point DFT algorithm based on product of Rademacher functions. The design has been adopted from the famous 8-point DFT decimation in time which is mainly constructs of two 4-point and four 2-point DFTs. However, the operation of the design circuit is different. It utilized the advantage of Rademacher functions simplicity. Therefore, the proposed design is constructed form the previous design 4-point DFT which is based on product of Rademacher functions [6]. Some analysis upon number types and internal connections to achieve a more efficient circuit have been conducted. As a result, instead of four, the proposed design requires only three 2-point DFT. Several output results of the design DFT have been removed since they are equal in terms of magnitude, two negative circuit are required as a compensation. Moreover, the previous 4-point DFT has been replaced to the efficient one. This circuit is special designed for non stand alone used, the circuit must be integrated inside the proposed 8-point DFT.

scholarly journals Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities

1997 ◽  
Vol 349 (3) ◽  
pp. 997-1027 ◽  
Author(s):  
T. Figiel ◽  
P. Hitczenko ◽  
W. B. Johnson ◽  
G. Schechtman ◽  
J. Zinn
Keyword(s):  
Rademacher Functions ◽  
Rosenthal Inequalities ◽  
Extremal Properties

The Khinchin Inequality for Generalized Rademacher Functions

1999 ◽  
Vol 202 (1) ◽  
pp. 89-95
Author(s):  
Yolanda Meléndez ◽  
Andrew Tonge
Keyword(s):  
Rademacher Functions
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