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Page 1488 of Mathematical Reviews Vol. 41, Issue 5 [page]

1971 Mathematical Reviews  
Among the results obtained is a recursive formula for a feedback func- tion which generates a cycle of maximum length.” Lempel, Abraham On k-stable feedback shift registers. IEEE Trans.  ...  Lempel, Abraham 8154 On a homomorphism of the de Bruijn graph and its | applications to the design of feedback shift registers.  ... 

Design of Efficient Linear Feedback Shift Register for BCH Encoder

Aiswarya S Manikandan SK
2015 Journal of Electrical & Electronic Systems  
I INTRODUCTION Linear Feedback Shift Register is used to generate test vectors. It uses feedback and modifies itself on every rising edge of clock.  ...  Linear Feedback Shift Register www.ijergs.org LFSR is a shift register whose input bit is a linear function of its previous state.  ... 
doi:10.4172/2332-0796.1000138 fatcat:koix5fokcrc6tmix3zr2tf2pna

Shift register realizations of asynchronous sequential machines

Yueh-Hsung Su
1969 Information and Control  
By using the outputs of the left most cells of feedback output shift registers as the output lines of the asynchronous sequential machine, the hazards on the output lines are eilminated.  ...  Shift registers are used to store the previous input and/or output signals as well as the present input signals. The detail hazard-free logic design of each cell of shift registers is shown.  ...  The T, S-R, J-K, S-R-T or J-K-T flip-flops can be used to construct shift registers.  ... 
doi:10.1016/s0019-9958(69)90435-5 fatcat:3xmkgs5etvemlf25tempxhlvl4

Application of Lyapunov's direct method to the error-propagation effect in convolutional codes (Corresp.)

J. Massey, R. Liu
1964 IEEE Transactions on Information Theory  
It is shown below that the error-propagation effect is closely related to the stability of a binary nonlinear-feedback shift register.  ...  The study of the error-propagation phenomenon will now be reduced to a "stability" analysis of a nonlinear-feedback shift register (NFSR, for short).  ... 
doi:10.1109/tit.1964.1053678 fatcat:ktj4zvrlsfekrncrtobv4gzyra

Semiconductor optical amplifier based nonlinear optical loop mirror with feedback: two modes of operation at high switching rates

R.J. Manning, A.E. Kelly, K.J. Blow, A.J. Poustie, D. Nesset
1998 Optics Communications  
It can act either as an all-optical circulating shift register with inverter or as an all-optical clock divider, depending on the relative timing of the switching pulses. q  ...  We describe the operating conditions under which a semiconductor optical amplifier based nonlinear loop mirror with optical feedback can have two stable modes of operation at switching rates faster than  ...  The temporal output of the shift register was observed with a 35 GHz photodiode on a 50 GHz sampling oscilloscope and a 1 GHz realtime oscilloscope.  ... 
doi:10.1016/s0030-4018(98)00513-6 fatcat:elez2opktjbrtl6bv4luqca6ei

A survey on applications of semi-tensor product method in engineering

Haitao Li, Guodong Zhao, Min Meng, June Feng
2017 Science China Information Sciences  
This paper presents a comprehensive survey on the applications of STP method in engineering. Firstly, some preliminary results on STP method are recalled.  ...  [146] , making advantage to analyze a given nonlinear feedback shift register and to design stable nonlinear feedback shift registers.  ...  With the consideration that a stable nonlinear feedback shift register can avoid an errorpropagation, Zhong et al.  ... 
doi:10.1007/s11432-017-9238-1 fatcat:unj5rmaa45aqrepefqdyeplipy

SYNTHESIS OF СRYPTORESISTANT GENERATORS OF PSEUDORANDOM NUMBERS BASED ON GENERALIZED GALOIS AND FIBONACCI MATRIXES

A. Ya. Beletsky
2019 Radìoelektronika, Ìnformatika, Upravlìnnâ  
Linear Feedback Shift Registers (LFSR) are themselves good pseudorandom PRN generators, but they have undesirable properties that reduce the efficiency of their use.  ...  For the registers of length shift n their internal state is a function of the previous output bits of the generator.  ...  From the theory of polynomials of one variable x it is known, that multiplication of an arbitrary degree k polynomial ( ) k x ω by the x equivalent of its shift by one digit to the left.  ... 
doi:10.15588/1607-3274-2019-3-10 fatcat:kn2zi4ns3fferarx63bhr6u6gq

R70-17 Asynchronous Sequential Circuits with Feedback

A.D. Friedman
1970 IEEE transactions on computers  
In the design of synchronous sequential machines, various canonical realizations which make use of feedback shift registers have been developed [1], [2].  ...  In effect the chain of AUD elements operates as a synchronous shift register. The inertial delay elements are needed in order to prevent the circuit from malfunctioning due to races and hazards.  ...  J. 1 A definite machine is a sequential machine in which the output is dependent only on the last k values of the input for some finite value of k.  ... 
doi:10.1109/t-c.1970.223004 fatcat:7myfylgqm5fwjgfzuami7sdjte

Stability analysis of active clock deskewing systems using a control theoretic approach

Vinil Varghese, Tom Chen, Peter Young
2005 Proceedings of the 2005 conference on Asia South Pacific design automation - ASP-DAC '05  
An active clock distribution and deskewing network is modelled as a closed loop feedback control system using state space equations.  ...  The shift register stores values of delays to be added through the VDB in the form of ones and zeros.  ...  If the comparisons for N consecutive clock cycles required the clock to be slowed down, the control system outputs a 1 on one of its bit lines which is then shifted into the shift register.  ... 
doi:10.1145/1120725.1120973 dblp:conf/aspdac/VargheseCY05 fatcat:izcqubm2zbecxmifswqqfekdnq

Robust adaptive filtering algorithms for α-stable random processes

G. Aydin, O. Arikan, A.E. Cetin
1999 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
A new class of algorithms based on the fractional lower order statistics is proposed for finite-impulse response adaptive filtering in the presence of -stable processes.  ...  Index Terms-Adaptive filtering, alpha-stable random processes, impulsive signals, LMS algorithm.  ...  A FAMILY OF ADAPTATION ALGORITHMS BASED ON FLOS As a generalization of the NLMP update equation, we propose the following update equation: W W W k+1 = W W W k + e hai k kX X X k k qa qa + X X X h(q01)ai  ... 
doi:10.1109/82.752953 fatcat:xdaeblqxirbsrbx7wb72qhykfu

FPGA based least mean square algorithm for noise cancellation in communication system

Praveen Reddy, Dr Baswaraj Gadgay
2018 International Journal of Engineering & Technology  
As we know, the adaptive filter uses continuous recalculation and generation of new coefficients will generate the negative effect on the use of algorithm.  ...  (k) −μˆgw (k) =w (k) +2μ (ˆ p (k) −ˆ R (k) w (k)) (3.1) For k =zero, 1, 2...  ...  unit and registers.  ... 
doi:10.14419/ijet.v7i2.32.15588 fatcat:ymegkkcmq5copnidravavouopq

Survey on hardware implementation of random number generators on FPGA: Theory and experimental analyses

Mohammed Bakiri, Christophe Guyeux, Jean-François Couchot, Abdelkrim Kamel Oudjida
2018 Computer Science Review  
This research work is the first comprehensive survey on how random number generators are implemented on Field Programmable Gate Arrays (FPGAs).  ...  A rich and upto-date list of generators specifically mapped to FPGA are presented with deep technical details on their definitions and implementations.  ...  The main idea is to produce Twisted Generalized Feedback Shift Register PRNG Twisted Generalized Feedback Shift Register (TGFSR) proposed in [32] is an extension of Generalized Feedback Shift Register  ... 
doi:10.1016/j.cosrev.2018.01.002 fatcat:syi7okuckzfyhnimepvs5ditpi

Page 1483 of Mathematical Reviews Vol. 58, Issue 2 [page]

1979 Mathematical Reviews  
Phase-shift analysis of linear feedback shift register structures generating pseudorandom sequences. IEEE Trans. Comput. 27 (1978), no. 7, 660-669.  ...  From the summary: “We propose a systematic way for analyzing split-up feedback shift register structures which generate parallel p-n sequences.  ... 

Multi Antenna Precoding Algorithm Based on M Spread Spectrum

Sun Ruihua, Bai Junying, An Yongli
2019 International Journal of Advanced Network, Monitoring, and Controls  
Therefore, this paper proposes a multi antenna precoding algorithm based on M spread spectrum, precoding before sending signal spread spectrum to simplify the signal receiving equipment, and verify the  ...  the progression of the shift register, and the structure of the code depends on the location and quantity of the feedback.  ...  For a n level feedback shift register, there can be up to 2^n states.  ... 
doi:10.21307/ijanmc-2019-007 fatcat:x4qaviqtsjejbbgsx3r7xw4raa

Comments on "A Readily Implemented Single-Error-Correcting Unit-Distance Counting Code"

Devries
1979 IEEE transactions on computers  
Index Terms-Convolutional code, error correcting code, error propagation, feedback decoder, majority logic, nonlinear feedback shift register. I.  ...  These results were obtained by the procedure outlined in [2] which applies Lyapunov's direct method to the nonlinear feedback shift register (NFSR) which is used as the feedback decoder.  ... 
doi:10.1109/tc.1979.1675328 fatcat:t67d34dqbrewrgcezv2z3bdcwe
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