This paper proposes the new radix-24 FFT algorithm and an efficient pipeline FFT architecture based on the algorithm for wideband OFDM systems. The proposed pipeline architecture has the same number of multipliers as that of the radix-22 algorithm. However, the multiplication complexity is reduced more than 30% by using the newly proposed CSD constant multipliers instead of the programmable multipliers. From the synthesis simulations of a standard 0.35 µm CMOS SAMSUNG process, the proposed CSD constant complex multiplier achieved a reduction of more than 60% of the power consumption/area when compared with the conventional programmable complex multiplier.

Elliptic curve cryptosystems are expected to be a next standard of public-key cryptosystems. A security level of elliptic curve cryptosystems depends on a difficulty of a discrete logarithm problem on elliptic curves. The security level of a elliptic curve cryptosystem which has a public-key of 160-bit is equivalent to that of a RSA system which has a public-key of 1024-bit. We propose an elliptic curve cryptosystem LSI architecture embedding word-based Montgomery multipliers. A Montgomery multiplication is an efficient method for a finite field multiplication. We can design a scalable architecture for an elliptic curve cryptosystem by selecting structure of word-based Montgomery multipliers. Experimental results demonstrate effectiveness and efficiency of the proposed architecture. In the hardware evaluation using 0.18 µm CMOS library, the high-speed design using 126 Kgates with 208-bit multipliers achieved operation times of 3.6 ms for a 160-bit point multiplication.

In this letter, we suggest two new efficient hardware structures of correlators for packet and frame synchronization of MB-OFDM UWB. In the proposed structure 1, we suggest a hierarchical structure composed of 8 and 16 tap sub-correlators instead of ordinary 128 tap correlators. In the proposed structure 2, we suggest a structure which uses quantized coefficients and simplified multipliers. Results of simulations indicates that the hardware complexities of proposed structures are reduced to about 54% and 31% with minor performance loss, compared with a conventional method.

A four-quadrant-input linear transconductor generating a product or a product sum current is proposed. The proposed circuit eliminates the influence of channel length modulation and expands a dynamic input voltage range. As an application of the proposed circuit, the four-quadrant analog multiplier is designed. The four-quadrant analog multiplier consists of the proposed circuit, an input circuit and a class AB current buffer. HSPICE simulation results with 0.35 µm n-well single CMOS process parameter are shown in order to evaluate the proposed circuit.

Design of portable battery operated multimedia devices requires energy-efficient multiplication circuits. This paper proposes a novel architectural technique to reduce power consumption of digital multipliers. Unlike related approaches which focus on multiplier transition activity reduction, we concentrate on dynamic reduction of supply voltage. Two implementation schemes capable of dynamically adjusting a double voltage supply to input data variation are presented. Simulations show that using these schemes we can reduce energy consumption of 1616-bit multiplier by 34% and 29% on peak and by 10% and 7% on average with area overhead of 15% and 4%, respectively, while maintaining the performance of traditional multiplier.

Normal and dual bases are two popular representation bases for elements in GF(2m). In general, each distinct representation basis has its associated different hardware architecture. In this paper, we will present a unified systolic array multiplication architecture for both normal and dual bases, such a unified multiplication architecture is termed a Hankel multiplier. The Hankel multiplier has lower space complexity while compared with other existing normal basis multipliers and dual basis multipliers.

An energy-efficient power-aware design is highly desirable for DSP functions that encounter a wide diversity of operating scenarios in battery-powered wireless sensor network systems. Addressing this issue, this letter presents a low-power power-aware scalable pipelined Booth multiplier that makes use of dynamic-range detection unit, sharing common functional units, ensemble of optimized Wallace-trees and a 4-bit array-based adder-tree for DSP applications.

This paper proposes a new modified radix-24 FFT algorithm and an efficient pipeline FFT architecture based on this algorithm for OFDM systems. This pipeline FFT architecture has the same number of multipliers as that of the radix-22 algorithm. However, the multiplication complexity could be reduced by more than 30% by replacing one half of the programmable multipliers by the newly proposed CSD constant multipliers. From the synthesis simulations of a standard 0.35 µm CMOS SAMSUNG process, a proposed CSD constant complex multiplier achieved more than 60% area efficiency when compared to the conventional programmable complex multiplier. This promoted efficiency could be used to the design of a long length FFT processor in wireless OFDM applications, which needs more power and area efficiency.

In this paper, a cell-driven multiplier generator is developed that can produce high-performance gate-level netlists for multiplier-related arithmetic functional units, including multipliers, multiplier and accumulators (MAC) and dot product calculator. The generator optimizes the speed/area performance both in the partial product compression and in the final addition stage for the specified process technology. In addition to the conventional CMOS full adder cells, we have also designed fast compression elements based on pass-transistor logic for further performance improvement of the generated multipliers. Simulation results show that our proposed generator could produce better multiplier-related functional units compared to those generated using Synopsys Designware library or other previously proposed approaches.

In this paper, we propose a circuit configuration for the low-frequency second-order active RC BPF (band pass filter) which has stable high Q. This proposed circuit is a high Q low-frequency one with a small capacitance, which is realized by applying an output capacitance multiplier to the circuit. Then a detailed circuit analysis is performed for the proposed circuit. From the simulation results of fo and Q for various combinations of circuit element values, we can confirm that the circuit realization of a center frequency of several Hz is possible by employing chip condensers of dozens of nF. The bread-board circuit of this configuration is confirmed to have small temperature dependences of fo and Q by the experiment. It is also clarified from detailed noise analysis and noise measurement that the circuit noise is sufficiently maintained at a low level.

High-speed, area-efficient, and low-power Montgomery modular multipliers for RSA algorithm have been developed for digital signature and user authentication in high-speed network systems and smart card LSIs. The multiplier-accumulators (MAC) in the developed Montgomery modular multipliers have a non-identical multiplicand/multiplier word length organization. This organization can eliminate the bandwidth bottleneck associated with a data memory, and enables to use a single-port memory for area and power reductions. The developed MAC is faster than the conventional identical word length organization due to the shortened critical path. For smart card applications, an area-efficient architecture with 42 kgates can produce 1.2 digital signatures in a second for 2,048-bit key length with the power consumption of 6.8 mW.

The multi-channel Hybrid Fiber Coaxial (HFC) network is essentially a shared medium with multi-channels. Its operation requires the use of a scheduling algorithm to manage the data transmission within each channel. The Data-Over-Cable Service Interface Specification (DOCSIS) protocol is an important standard for HFC networks. Since this protocol does not explicitly specify the scheduling algorithm to be used, many alternative algorithms have been proposed. However, none of these algorithms are applicable to the scheduling of non-Unsolicited Grant Service (UGS) data in multi-channel HFC networks. Accordingly, the present study develops a multi-channel scheduling algorithm which optimizes the scheduling delay time of each transmitted non-UGS request. This algorithm manages the amount of data transmission in each upstream channel according to the overall network load and the bandwidth available in each channel. This study constructs a mathematical model of the algorithm and then uses this model as the basis for a series of simulations in which the performance of the scheduling algorithm is evaluated.

In this paper, a novel CMOS defuzzification circuit using dual-output current conveyors (DO-CCII) is introduced. The behaviour of the proposed circuit has been verified with PSPICE using the models for 1.2 µm MIETEC CMOS process. The proposed circuit offers high-speed operation and high accuracy because of using second generation current conveyors (CCII). The designed circuit is suitable for fuzzy logic controllers using center of gravity (COG) defuzzification method.

A real-time frame-layer rate control algorithm using sliding window method is proposed for low bit rate video coding over the Internet. The proposed rate control method performs bit allocation at the frame level to minimize the average distortion over an entire sequence as well as variations in distortion between frames. A new frame-layer rate-distortion model is derived, and a non-iterative optimization method is used for low computational complexity. In order to reduce the quality fluctuation, we use a sliding window scheme which does not require the pre-analysis process. Therefore, the proposed algorithm does not produce time delay from encoding, and is suitable for real-time low-complexity video encoder. Experimental results indicate that the proposed control method provides better visual and PSNR performance than the existing TMN8 rate control method.

This paper presents a unified representation of fast addition algorithms based on Counter Tree Diagrams (CTDs). By using CTDs, we can describe and analyze various adder architectures in a systematic way without using specific knowledge about underlying arithmetic algorithms. Examples of adder architectures that can be handled by CTDs include Redundant-Binary (RB) adders, Signed-Digit (SD) adders, Positive-Digit (PD) adders, carry-save adders, parallel counters (e.g., 3-2 counters and 4-2 counters) and networks of such basic adders/counters. This paper also discusses the CTD-based analysis of carry-propagation-free adders using various number representations.

Two operations, polynomial multiplication and modular reduction, are newly induced by the properties of the modified Booth's algorithm and irreducible all one polynomials, respectively. A new and effective methodology is hereby proposed for computing multiplication over a class of fields GF(2m) using the two operations. Then a low complexity multiplexer-based multiplier is presented based on the aforementioned methodology. Our multiplier consists of m 2-input AND gates, an (m2 + 3m - 4)/2 2-input XOR gates, and m(m - 1)/2 4 1 multiplexers. For the detailed estimation of the complexity of our multiplier, we will expand this argument into the transistor count, using a standard CMOS VLSI realization. The compared results show that our work is advantageous in terms of circuit complexity and requires less delay time compared to previously reported multipliers. Moreover, our architecture is very regular, modular and therefore, well-suited for VLSI implementation.

Some new differential input ideal differentiator and integrator function circuits using the current feedback amplifier (CFA) device are presented. The time constant (τo) is tunable by the control voltage (Vc) of a multiplier element connected appropriately around the feedback loop. The CFA device port errors () have insignificant effects on (τo). Test results based on hardware implementation and macromodel simulation are included; the proposed circuits exhibited good high frequency response with low phase errors (θe 2) upto about 450 kHz.

This investigation proposes a new multiplication algorithm in the finite field GF(2m) over the polynomial basis, in which the irreducible xm +xn + 1 with gcd(m,n) = 1 generates the field GF(2m). The algorithm involves two steps--the intermediate multiplication and the modulo reduction. In the first step, the intermediate multiplication algorithm permutes a polynomial to construct the full-bit-parallel systolic intermediate multiplier. The circuit is identical of m2 cells, each cell is identical of one 2-input AND gate, one 2-input XOR gate, and four 1-bit latches. In the second step, based on the results of the intermediate multiplication in the first step, the modulo reduction circuit is built using regular and simple reduction operations. The latency of the proposed multiplier requires m + k + 1 clock cycles, where k = + 1. Notably, the latency can be very low if n is in the range 1 n . For the computing multiplication in GF(2m), the novel multiplier exhibits much lower latency than the existing systolic multipliers, and is well suited to VLSI systems due to their regular interconnection pattern, modular structure and fully inherent parallelism.

This paper presents a new asynchronous multiplier. The original array structure is divided into two asymmetric arrays, called an upper array and a lower array. For the lower array, Left to Right scheme is applied to take advantage of a fast computation and low power consumption as well. Simulation results show that the proposed multiplier has 40% of performance improvement with a relatively lower power consumption. The multiplier has been implemented in a CMOS 0.35 µm technology and proved functionally correct.

In this paper, we present a new analog multiplier with wide input range which is achieved by utilizing the variable threshold voltage characteristics of FG-MOSFET's. The performance of the proposed multiplier is evaluated through HSPICE simulation with 2.0 µm CMOS process parameters. From HSPICE simulation, we can find that the proposed multiplier can be operated at the supply voltage of 3.0 V with 3.0 Vp-p input range. Namely, the input voltage range of the multiplier is equal to the supply voltage. The maximum power consumption of the multiplier is 8.8 mW. The THD is 1.36% under the condition that the amplitude of the input signal is 3.0 Vp-p and the frequency is 1 MHz. Under the same condition, the linearity error is less than 0.5%. The -3 dB bandwidth of the proposed multiplier is 23 MHz.