• Journal of the Institute of Electronics Engineers of Korea SD
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• v.42 no.10 s.340
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• pp.29-34
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• 2005

The maximum quantization error has serious effect on the performance of fixed-width multipliers that receive W-bit inputs and produce W-bit products. In this paper, we analyze the error bound of fixed-width modified Booth multipliers. Then, the estimation method for the number of additional columns for fixed-width multipliers is proposed to limit the maximum quantization error within a desired bound. In addition, it is shown that our methodology can be extended to reduced-width multipliers. By simulations, it is shown that the proposed error analysis method is useful to the practical design of fixed-width modified Booth multipliers.

• Journal of the Korean Statistical Society
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• v.25 no.4
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• pp.603-611
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• 1996

In this article we consider a sequential procedure for the fixed width interval estimation of the means of two mutually independent linear processes. It is shown that the proposed stopping rule is asymptotically efficient as in iid samples (cf. Robbins, Simons and Starr(l967)).

• Communications for Statistical Applications and Methods
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• v.4 no.2
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• pp.345-351
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• 1997

This paper considers the problem of sequential fixed accuracy confidence set procedure of the aurocorrelations of stationary linear processes. The proposed procedure for fixed-width confidence set is shown to be both asymptotically consistent and asymptotically efficient as the size of the width approaches zero.

• Bulletin of the Korean Mathematical Society
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• v.60 no.4
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• pp.1017-1024
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• 2023

A celebrated result in the study of integer partitions is the identity due to Lehmer whereby the number of partitions of n with an even number of even parts minus the number of partitions of n with an odd number of even parts equals the number of partitions of n into distinct odd parts. Inspired by Lehmer's identity, we prove explicit formulas for evaluating generating functions for sequences that enumerate integer partitions of fixed width with an even/odd number of even parts. We introduce a technique for decomposing the even entries of a partition in such a way so as to evaluate, using a finite sum over q-binomial coefficients, the generating function for the sequence of partitions with an even number of even parts of fixed, odd width, and similarly for the other families of fixed-width partitions that we introduce.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.48 no.3
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• pp.42-47
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• 2011

The partial product matrix (PPM) of a parallel squarer is symmetric. To reduce the depth of PPM, it can be folded, shifted and rearranged. In this paper, we present an area-efficient squarer design method using new partial product rearrangement. Also, a fixed-width squarer design method of the proposed squarer is presented. By simulations, it is shown that the proposed squarers lead to up to 17% reduction in area, 10% reduction in propagation delay and 10% reduction in power consumption compared with previous squarers. By using the proposed fixed-width squarers, the area, propagation delay and power consumption can be further reduced up to 30%, 16% and 28%, respectively.

• The Research Journal of the Costume Culture
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• v.9 no.6
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• pp.893-907
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• 2001

The main purpose is to study the effects of princess lines on different body types and to disguise any imperfection by using diverse princess lines. We separated testers body shapes into specific body types, H, Y by applying both the direct and the indirect measurements. These designs were evaluated by using the point ranking system method, and then average scores were obtained from these evaluations. Following are the results of the study: 1 These are the resulting illusion effects when the shoulder width of the Princess line was fixed. When the Princess line originated from 1/3 point of the armhole, body types Y appeared to show narrow waist width. A-line silhouette appeared to display the narrowest shoulder width. When the Princess line originated from 2/3 point of the armhole, body types H and Y appeared to exhibit narrowest waist widths, and the A-line silhouette once again displayed the narrowest shoulder width. When the Princess line originated from 1/2 point of the armhole, body type H appeared to exhibit narrow width; and H-line silhouette displayed the narrowest shoulder width 2. When the Princess lines waist w'4th was fixed in order to study illusion effects of waist widths. In this experiment, locations of Princess lines and widths of the skirt were varied. When the waist width was fixed at 6.5 cm, For the H body type, the Princess line location of 1/3 point of the armhole in H-line silhouette design exhibited the narrowest waist width. For the Y body type in A-line silhouette design, the Princess line locations of 1/3 and 1/2 points of the armhole exhibited the narrowest waist width because it displayed the hourglass effect. When the waist width was fixed at 10 cm, H body type did not exhibit any significant differences between designs. For Y body type, A-line silhouette design with the Princess line origination point at 1/3 down the armhole exhibited the narrowest waist width. 3. The illusion effects of the hip were studied by fixating the width of the skirt and varying the locations of Princess line and waist widths. In H-line skirt silhouette designs, all two body types exhibited narrow hips when the Princess line origination points were at 1/3 and 1/2 way down the armhole. For A-line skirt silhouette, H body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/2 point in the shoulder was shown. Y body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/3 point of the armhole and 2/3 point of the shoulder. 4. With both waist and skirt widths fixed, all two body types exhibited taller and slender postures when the Princess line originated from the shoulder compare to the armhole.

• Communications for Statistical Applications and Methods
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• v.15 no.5
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• pp.643-653
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• 2008

Application of the bootstrap to problems in multistage inference procedures are discussed in normal and other related models. After a general introduction to these procedures, here we explore in multistage fixed precision inference in models. We present numerical comparisons of these procedures based on bootstrap critical points for small and moderate sample sizes obtained via extensive sets of simulated experiments. It is expected that the procedure based on bootstrap leads to better results.

• Journal of Ocean Engineering and Technology
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• v.15 no.4
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• pp.1-7
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• 2001

Mainly, Floating Breakwaters (FBs) have been constructed in many coastal regions due to the advantages of the coastal environment and construction cost. In general, the FB becomes fixed or its width broadened because the movement of the FB comes to be large and its the wave control function lower for the long period incident waves. This study discusses the wave control function of two-rowed Fixed Floating Breakwater (FFBs) that have narrower width than that of the one-rowed FFB by using numerical approach. Boundary Element Method (BEM) based on the Green formula and Eigenfunction Expansion Method (EEM) are applied to evaluate the three-dimensional wave transformation near the wave fields of two-rowed FFBs. The validity of the present study is confirmed by comparing it with the results of Ijima et al. (1974) and Yoshida et al. (1992) for the one-rowed Fixed Floating Structure. It is revealed that the wave control function of two-rowed FFBs is more effective than that of the one-rowed FFB.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.10a
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• pp.80-83
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• 2010

This paper describes an analysis of decoding performance of multi-mode LDPC(Low Density Parity Check) decoder which supports three block lengths (648, 1296, 1944) and four code rates (1/2, 2/3,3/4, 5/6) for IEEE 802.11n WLAN system. A fixed-point model of LDPC decoder which adopts min-sum algorithm and layered decoding scheme is implemented using Matlab. From fixed-point simulation results for various bit-width parameters such as internal bit-width, bit-width of integer and fractional parts, an optimal design condition and decoding performance of LDPC decoder are analyzed.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.30 no.8C
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• pp.832-837
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• 2005

This paper presents a design method for fixed-width squarer that receives a W-bit input and produces a W-bit squared product. To efficiently compensate for the quantization error, modified Booth encoder signals (not multiplier coefficients) are used for the generation of error compensation bias. The truncated bits are divided into two groups (major/minor group) depending upon their effects on the quantization error. Then, different error compensation methods are applied to each group. By simulations, it is shown that the performance of the proposed method is close to that of the rounding method and much better than that of the truncation method and conventional method. It is also shown that the proposed method leads to up to $28\%\;and\;27\%$ reduction in area and power consumption compared with the ideal squarers, respectively.