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Communication by Smooth High Order Composites of Trigonometric Product Functions

IP.com Disclosure Number: IPCOM000075098D
Original Publication Date: 1971-Jul-01
Included in the Prior Art Database: 2005-Feb-24
Document File: 2 page(s) / 58K

Publishing Venue

IBM

Related People

Audretsch, LM: AUTHOR [+2]

Abstract

A communication system uses trigonometric product functions to form complex, highly distinguishable transmissions which are capable of carrying multiple units of binary information in each fundamental period of transmission.

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Communication by Smooth High Order Composites of Trigonometric Product Functions

A communication system uses trigonometric product functions to form complex, highly distinguishable transmissions which are capable of carrying multiple units of binary information in each fundamental period of transmission.

Member functions f(p1,K1,qi) of certain disjoint sets of harmonically related trigonometric product functions which Save no common member functions and relatively distinct class properties are defined generally by: f(p,K,q) = A sin (s(1)X+N(1)) sin (2s(2)X + N(2))...sin (Ks(K)X + N(K)) where p, K and q, respectively, designate order, class and rank properties, A being constant for all functions, s(n)(n = 1, 2, ...K) = 1 or 0, N(n)(n= 1, 2, ...K) = pi/2 or 0, and X = omega(o)t= 2 pi f(o)t, with f(o) as the fundamental frequency, are combined for transmission by simultaneously selecting plural subsets of a first one of the sets in accordance with multiple sets of i parallel binary input signals >b(0), b(1)...b(i- 1)), (b(i), b(i+1)...b(2i-1)) ...| changing at discrete intervals nTo, where T(o)= 1/4 f(o), (n = 1,3,5), by Multiply & Combine circuits 100 through 103.

The selected functions in each subset are superposed by linear addition, to thereby form multiple composite functions associated with the respective sets of binary selecting signals (b(0)...b(31)) recurring at the rate of timing signals F(T). These composite functions are multiplied individually by predetermined functions f(p)2,K(2),qj (K(2) not = K(1)) of a relatively disjoint second set of j functions, such as f1,8,1 and f(1,8,2) in mult...