The proposed 4-bit BS-LFSR achieved an active area of 1241.1588um2 and consumed only 53.8844nW with total power savings of 19.43%. The BS-LFSR was designed in Mentor Graphic – TSMC Design Kit Environment using 130nm complementary metal oxide semiconductor (CMOS) technology. The pass transistor merged with transistor stack method yielded a better reduction in power dissipation compared to pass transistor design and NAND gate design. In addition, three different architectures to enhance the feedback element used in BS-LFSR was explored. To achieve low power dissipation, the proposed BS-LFSR introduced the stacking technique to reduce leakage current. In this paper, an enhanced BS-LFSR for low power application is proposed. The state bits, collectively denoted \( S \), are individually denoted \( S_0 \) to \( S_ \), but otherwise will produce the same output sequences with the same recurrence relation, although they have different internal state bits.Bit swapping linear feedback shift register (BS-LFSR) is employed in a conventional linear feedback shirt register (LFSR) to reduce its power dissipation and enhance its performance. In the diagram above, the bits shift from right to left, and the cells are numbered from 0 to \( N-1 \) (here we have a 5-bit shift-register, so \( N=5 \)). The output of one cell is connected to the input of the next, so that the bits in the shift register propagate from left to right, or right to left, depending on how the shift register is set up. it has an output signal that is the state of the shift register - if the shift register contains a 1, then it outputs a 1 if it contains a 0, then it outputs a 0.it changes that state bit to the input signal, upon receiving a clock signal.it stores a single bit of state, either a 0 or a 1.We’ll start with the bitwise approach.Ī shift register is a series of bit cells, each of which is a flip-flop:
There are at least three ways to describe the linear feedback shift register, or LFSR: a practical bitwise approach, and two theoretical approaches based on the algebra of finite fields, one using polynomials and the other using matrices. Linear Feedback Shift Registers: A Bitwise Approach But part of the reason to understand the theory behind LFSRs is just because the math has an inherent beauty. You can use LFSRs to generate a pseudorandom bit sequence, or as a high-speed counter. Why study the LFSR? They have many practical applications in communications theory. This article is available in PDF format for easy printing
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