• 디지털산업정보학회논문지
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• 제10권3호
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• pp.237-247
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• 2014

This paper describes a 2D discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), 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 TQWT can also be used as an easily-invertible discrete approximation of the continuous wavelet transform. The transform is based on a real valued scaling factor (dilation-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 oversampling rate (redundancy), with modest oversampling rates (e. g. 3-4 times overcomplete) being sufficient for the analysis/synthesis functions to be well localized. Therefore, This method services good performance in image processing fields.

• 디지털산업정보학회논문지
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• 제7권4호
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• pp.119-131
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• 2011

In this paper, we explore the application of 2-D dual-tree discrete wavelet transform (DDWT), which is a directional and redundant transform, for image coding. DDWT main property is a more computationally efficient approach to shift invariance. Also, the DDWT gives much better directional selectivity when filtering multidimensional signals. The dual-tree DWT of a signal is implemented using two critically-sampled DWTs in parallel on the same data. The transform is 2-times expansive because for an N-point signal it gives 2N DWT coefficients. If the filters are designed is a specific way, then the sub-band signals of the upper DWT can be interpreted as the real part of a complex wavelet transform, and sub-band signals of the lower DWT can be interpreted as the imaginary part. The quincunx lattice is a sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Quincunx lattice yields a non separable 2D-wavelet transform, which is also symmetric in both horizontal and vertical direction. And non-separable wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, non-separable image processing using DDWT services good performance.

• 디지털산업정보학회논문지
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• 제9권1호
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• pp.165-176
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• 2013

This paper introduces the high density discrete wavelet transform using quincunx sampling, which is a discrete wavelet transformation that combines the high density discrete transformation and non-separable processing method, each of which has its own characteristics and advantages. The high density discrete wavelet transformation is one that expands an N point signal to M transform coefficients with M > N. The high density discrete wavelet transformation is a new set of dyadic wavelet transformation with two generators. The construction provides a higher sampling in both time and frequency. This new transform is approximately shift-invariant and has intermediate scales. In two dimensions, this transform outperforms the standard discrete wavelet transformation in terms of shift-invariant. Although the transformation utilizes more wavelets, sampling rates are high costs and some lack a dominant spatial orientation, which prevents them from being able to isolate those directions. A solution to this problem is a non separable method. The quincunx lattice is a non-separable sampling method in image processing. It treats the different directions more homogeneously than the separable two dimensional schemes. Proposed wavelet transformation can generate sub-images of multiple degrees rotated versions. Therefore, This method services good performance in image processing fields.

• 한국통신학회논문지
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• 제25권9B호
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• pp.1570-1578
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• 2000

본 논문은 채널간의 간섭을 줄이는 관점에서 코사인 변조 필터 뱅크와 사인 변조 필터 뱅크로 이루어진 필터뱅크의 쌍을 다중 반송파 부호 분할 다원 접속(multi-carrier code division multiple access: MC-CDMA) 시스템의 다중화 전송에 적용하였다. 웨이브렛 특성을 필터 뱅크의 구현에 활용하는 제안된 기법은 이산 퓨리에 변환(discrete Fourier transform: DFT)에 기반을 둔 기존의 MC-CDMA 시스템과 비교하였을 때, 전송 채널의 부채널화의 우수성으로 인해 채널간의 간섭을 감소시킬 수 있다. 제안된 직교 쌍 필터 뱅크를 기반으로 하는 MC-CDMA 시스템의 성능을 평가하기 위하여, 레이라이 페이딩 채널과 가우시안 잡음 채널에서 역 방향 링크의 신호 대 잡음비에 대한 비트 오율을 계산한다. 성능평가 결과는 제안한 시스템이 간섭의 영향을 최소화하는 측면에서 기존의 MC-CDMA 시스템 보다 우수한 성능을 보이고 있다.

• 디지털산업정보학회논문지
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• 제8권3호
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• pp.133-145
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• 2012

This paper describes the high density discrete wavelet transformation which is one that expands an N point signal to M transform coefficients with M > N. The double-density discrete wavelet transform is one of the high density discrete wavelet transformation. This transformation employs one scaling function and two distinct wavelets, which are designed to be offset from one another by one half. And it is nearly shift-invariant. Similarly, triple-density discrete wavelet transformation is a new set of dyadic wavelet transformation with two generators. The construction provides a higher sampling in both time and frequency. Specifically, the spectrum of the first wavelet is concentrated halfway between the spectrum of the second wavelet and the spectrum of its dilated version. In addition, the second wavelet is translated by half-integers rather than whole-integers in the frame construction. This arrangement leads to high density wavelet transformation. But this new transform is approximately shift-invariant and has intermediate scales. In two dimensions, this transform outperforms the standard and double-density discrete wavelet transformation in terms of multiple directions. Resultingly, the proposed wavelet transformation services good performance in image and video processing fields.

• 한국정보통신학회논문지
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• 제15권12호
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• pp.2641-2646
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• 2011

본 논문에서는 Haar Wavelet Transform(HWT)에 기반한 EZW 알고리즘을 적용하여 효율성 있는 영상 압축방법을 제시하였다. 제안된 Haar-EZW 알고리즘은 입력 영상을 자기유사성이 있는 상관관계를 사용한 HWT 계수를 이용하여 제로트리 부호화하는 코딩방법이다. HWT 계수가 임계값보다 크면 POS로 부호화되고, 임계값보다 작다면 NEG로 부호화된다. HWT 계수가 제로트리의 제곱근보다 크다면 ZTR로 부호화되고, HWT 계수가 임계값보다 적고 제로트리의 제곱근이 아니라면 IZ로 부호화된다. 모든 HWT 계수가 완전하게 부호화돨 때까지 이 프로세스는 반복된다. 본 논문에서는 제안된 Haar-EZW 알고리즘을 Daubechies, Antonini와 비교하였다. 그 결과로 Haar-EZW 알고리즘의 PSNR이 Daubechies, Antonini보다 우수한 것으로 나타났다.

• 대한전자공학회논문지SP
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• 제37권1호
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• pp.59-68
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• 2000

본 논문은 2차원 DWT 계산을 위한 효율적인 VLSI 구조를 제안한다 제안한 두 개의 구조는 $M{\times}N$ ($N{\times}M$) 블록 단위로 2 D DWT를 계산한다 각각의 블록에서 2 D DWT의 계산은 행 (열) 방향으로 동시에 계산한다 M은 필터 탭 수를 나타내고 N은 열 (행)을 나타낸다 그리고 행과 열 방향으로 1차원 DWT를 계산할 때 저주파와 고주파 성분을 하나의 구조에서 번갈아 계산하도록 하였다 그러므로 제안한 구조는 기존의 구조에 비해 부가적인 처리 유닛이 적게 필요하다 VHDL를 이용하여 모델링하고 시뮬레이션하여 제안한 구조가 정상적으로 동작함을 확인하였다.