• Journal of applied mathematics & informatics
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• 제37권3_4호
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• pp.295-305
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• 2019

In the present paper, we introduce (p, q)-Frobenius-Genocchi numbers and polynomials and investigate some basic identities and properties for these polynomials and numbers including addition theorems, difference equations, derivative properties, recurrence relations and so on. Then, we provide integral representations, implicit and explicit formulas and relations for these polynomials and numbers. We consider some relationships for (p, q)-Frobenius-Genocchi polynomials of order ${\alpha}$ associated with (p, q)-Bernoulli polynomials, (p, q)-Euler polynomials and (p, q)-Genocchi polynomials.

• 한국통신학회논문지
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• 제31권12C호
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• pp.1265-1272
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• 2006

본 논문에서는 OFDM을 기반으로 하는 직접변환(Direct-conversion) 수신기에서 발생하는 I/Q 불균형(mismatch)문제를 효과적으로 제거할 수 있는 새로운 보상기법을 제시한다. OFDM심볼에 0의 값을 갖는 null 부반송파를 삽입하여 전송한 후에, 수신단에서 FFT후의 null 부반송파로부터 I/Q 불균형 관한 파라미터 값을 추정하고, 이를 이용하여 데이터 심볼에서 I/Q 불균형 효과를 제거하는 방법으로, 효율적이며 낮은 복잡성(complexity)이 제안 방식의 수요 특징이다. 모의실험 결과로부터 소수의 null 부반송파로도 충분한 I/Q 불균형 효과를 제거하는 결과를 얻을 수 있었다. 또한 제안된 방식은 주파수 선택적 페이딩 채널에서도 I/Q 불균형이 잘 제거됨을 보였다.

• Clinical and Experimental Pediatrics
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• 제59권2호
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• pp.91-95
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• 2016

We report the case of a 22-month-old boy with a new mosaic partial unbalanced translocation of 1q and 18q. The patient was referred to our Pediatric Department for developmental delay. He showed mild facial dysmorphism, physical growth retardation, a hearing disability, and had a history of patent ductus arteriosus. White matter abnormality on brain magnetic resonance images was also noted. His initial routine chromosomal analysis revealed a normal 46,XY karyotype. In a microarray-based comparative genomic hybridization (aCGH) analysis, subtle copy number changes in 1q32.1-q44 (copy gain) and 18q21.33-18q23 (copy loss) suggested an unbalanced translocation of t(1;18). Repeated chromosomal analysis revealed a low-level mosaic translocation karyotype of 46,XY,der(18)t(1;18) (q32.1;q21.3)[12]/46,XY[152]. Because his parents had normal karyotypes, his translocation was considered to be de novo. The abnormalities observed in aCGH were confirmed by metaphase fluorescent in situ hybridization. We report this patient as a new karyotype presenting developmental delay, facial dysmorphism, cerebral dysmyelination, and other abnormalities.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 1999년도 하계종합학술대회 논문집
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• pp.741-744
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• 1999

In this paper, We represent a low complexity of parallel canonical basis multiplier for GF( q$^{n}$ ), ( q＞ 2). The Mastrovito multiplier is investigated and applied to multiplication in GF(q$^{n}$ ), GF(q$^{n}$ ) is different with GF(2$^{n}$ ), when MVL is applied to finite field. If q is larger than 2, inverse should be considered. Optimized irreducible polynomial can reduce number of operation. In this paper we describe a method for choosing optimized irreducible polynomial and modularizing recursive polynomial operation. A optimized irreducible polynomial is provided which perform modulo reduction with low complexity. As a result, multiplier for fields GF(q$^{n}$ ) with low gate counts. and low delays are constructed. The architectures are highly modular and thus well suited for VLSI implementation.

• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.413-421
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• 2017

In this paper, we study the generalizations of Euler numbers and polynomials by using the q-extension with p-adic integral on $\mathbb{Z}_p$. We call these: the generalized q-${\omega}$-Euler numbers $E^{({\alpha})}_{n,q,{{\omega}}(a)$ and polynomials $E^{({\alpha})}_{n,q,{\omega}}(x;a)$. We investigate some elementary properties and relations for $E^{({\alpha})}_{n,q,{{\omega}}(a)$ and $E^{({\alpha})}_{n,q,{\omega}}(x;a)$.

• 대한수학회지
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• 제37권1호
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• pp.21-30
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• 2000

We give a proof of the distribution relation for q-Bernoulli polynomials $B_{k}$(x : q) by using q-integral and evaluate the values of p-adic q-L-function.n.

• 디지털산업정보학회논문지
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• 제11권1호
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• pp.171-182
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• 2015

The general wavelet transform has profitable property in non-stationary signal analysis specially. The tunable Q-factor wavelet transform is a fully-discrete wavelet transform for which the Q-factor Q and the asymptotic redundancy r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The transform is based on a real valued scaling factor and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its over-sampling rate, with modest over-sampling rates being sufficient for the analysis/synthesis functions to be well localized. This paper describes filter design of 2D discrete-time wavelet transform for which the Q-factor is easily specified. With the advantage of this transform, perfect reconstruction filter design and implementation for performance improvement are focused in this paper. Hence, the 2D transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. Therefore, application for performance improvement in multimedia communication field was evaluated.

• 한국통신학회논문지
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• 제36권4A호
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• pp.325-328
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• 2011

본 논문에서는 기하학적인 관점으로 이변량 가우시안 Q-함수의 Craig 표현에 대한 새롭고 간단한 유도를 제시하고 있다. 또한, 이러한 기하학적인 유도는 이변량 가우시안 Q-함수의 또 다른 Craig 표현 식을 제시하고 있다. 새롭게 유도된 이변량 가우시안 Q-함수의 Craig 식은 2개의 상관 가우시안 잡음에서 직교좌표의 변환으로 생성되는 2개 웨지 영역의 기하학으로부터 새롭게 구한 것이다. 제시된 Craig 형태는 이변량 가우시안 Q-함수로 표현되는 확률을 계산하는데, 중요한 역할을 할 수 있다.

• Kyungpook Mathematical Journal
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• 제57권4호
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• pp.711-719
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• 2017

Let Inn(Q) denote the inner automorphism group on a quandle Q. For a subset M of Q, let c(M) denote the orbit of M under the Inn(Q)-action on Q. Then c satisfies the axioms of the closure operator. In this paper, we study the topological space Q corresponding to the topology obtained from the closure operator c.

• East Asian mathematical journal
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• 제24권3호
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• pp.263-274
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• 2008

Let $r\;{\geq}\;q$. We get the stability of the estimates of the $\bar{\partial}$-Neumann problem for (p, r)-forms on a weakly q-convex complex submanifold. As a by-product of the stability of the $\bar{\partial}$-estimates, we get the Mergelyan approximation property for (p, r)-forms on a weakly q-convex complex submanifold which satisfies property (P).