Accession Number:

AD0838251

Title:

ALGEBRAIC THEORY OF FLIP-FLOP SEQUENCE GENERATORS.

Descriptive Note:

Research rept.,

Corporate Author:

NAVAL WEAPONS CENTER CHINA LAKE CA

Personal Author(s):

• Alltop, W. O.
• Burton, R. C.
• Pratt, A. V.

Report Date:

1968-07-01

Pagination or Media Count:

63.0

Abstract:

The problem of constructing linear shift registers with a minimum number of adders has provoked interesting research on the theory of trinomials over the field with two elements. Each adder which can be eliminated significantly increases the speed at which the sequence can be generated, and linear shift registers corresponding to trinomials have only one adder. In this report a class of sequence generators is described employing J-K flip-flops in place of the usual delay elements, and which require no adders or additional gating. J-K flip-flops operate at a speed comparable to that of delay elements. If n is the number of flip-flops, then for n 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 17, and 18 a sequence of period 2 to the nth power-1 can be generated. This sequence is linear and has the well-known randomness and correlation properties. Author

Descriptors:

• *RELAXATION OSCILLATORS)
• (*COMPUTER LOGIC
• SEQUENCES(MATHEMATICS)
• POLYNOMIALS
• SHIFT REGISTERS
• THEORY
• THEOREMS
• COMPUTER PROGRAMS
• LOGIC CIRCUITS

Subject Categories:

• Electrical and Electronic Equipment
• Numerical Mathematics
• Computer Programming and Software
• Computer Hardware

Distribution Statement:

APPROVED FOR PUBLIC RELEASE