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Yayın Teaching aliasing and spectral leakage through the sampling of images(Institute of Electrical and Electronics Engineers Inc., 2019-05-29) Tavşanoğlu, Ahmet VedatAliasing and spectral leakage are artifacts of sampling and rectangular windowing, respectively, whose manifestations are noticed in both the spatial and frequency domains. This paper aims to provide a classroom example which enables the recognition and mathematical interpretation of such phenomena.Yayın New criteria for the existence of stable equilibrium points in nonsymmetric cellular neural networks(2003) Özcan, Neyir; Arık, Sabri; Tavşanoğlu, Ahmet VedatThis paper presents new criteria for the existence of stable equilibrium points in the total saturation region for cellular neural networks (CNNs). It is shown that the results obtained can be used to derive some complete stability conditions for some special classes of CNNs such as positive cell-linking CNNs, opposite-sign CNNs and dominant-template CNNs. Our results are also compared with the previous results derived in the literature for the existence of stable equilibrium points for CNNs.Yayın Real-time video frame differentiator based on DDR3 SDRAM memory interface(IEEE Computer Society, 2018-08) Davutoğlu, Doğancan; Yıldız, Nerhun; Tavşanoğlu, Ahmet Vedat; Ayten, Umut EnginIn this paper, design of a real-time video frame differentiator based on an external memory interface is proposed. Furthermore, implementation and simulation processes of the design is discussed. The proposed design is capable of differentiating video frames over time, up to full-HD resolution at 60 Hz frame rate. An external SDRAM memory unit is used within the proposed design and drived by a memory interface. In order to improve the flexibility of the architecture, video resolution, video buffer size on memory and burst size of the memory interface are designed to be user defined and configurable.Yayın Construction of the nodal conductance matrix of a planar resistive grid and derivation of the analytical expressions of its eigenvalues and eigenvectors using the Kronecker Product and Sum(IEEE, 2016-07-09) Tavşanoğlu, Ahmet VedatThis paper considers the task of constructing an (MxN+1)-node rectangular planar resistive grid as: first forming two (MxN+1)-node planar sub-grids; one made up of M of (N+1)-node horizontal, and the other of N of (M+1)-node vertical linear resistive grids, then joining their corresponding nodes. By doing so it is shown that the nodal conductance matrices GH and GV of the two sub-grids can be expressed as the Kronecker products GH = I-M circle times G(N), G(V) = G(M)circle times I-N, and G of the resultant planar grid as the Kronecker sum G = G(N circle plus) G(M), where G(M) and I-M are, respectively, the nodal conductance matrix of a linear resistive grid and the identity matrix, both of size M. Moreover, since the analytical expressions for the eigenvalues and eigenvectors of G(M) - which is a symmetric tridiagonal matrix- are well known, this approach enables the derivation of the analytical expressions of the eigenvalues and eigenvectors of G(H), G(V) and G in terms of those of G(M) and G(N), thereby drastically simplifying their computation and rendering the use of any matrix-inversion-based method unnecessary in the solution of nodal equations of very large grids.Yayın A discussion on spatiotemporal filtering on a third generation real-time cellular neural network processor(IEEE Computer Society, 2016) Yıldız, Nerhun; Cesur, Evren; Tavşanoğlu, Ahmet VedatA third generation Real-Time Cellular Neural Network (CNN) Processor (RTCNNP-v3) is a CNN emulator currently being implemented targeting FPGA devices. Thanks to the frame buffer support of the RTCNNP-v3 it will be possible to store and recall multiple frames which will extend the range of applications that can be implemented with RTCNNP, including spatiotemporal filters. In this paper, the implementation method of a velocity-tuned filter currently being implemented is disclosed with further discussion.Yayın Sperm morphology analysis with CNN based algorithms(IEEE Computer Society, 2014-08-29) Şavkay, Osman Levent; Cesur, Evren; Yalçın, Müştak Erhan; Tavşanoğlu, Ahmet VedatIn this paper Morphological Analysis part of our proposed computer-aided sperm analysis system (CASA) is simulated and the results beside the algorithm steps are presented. The morphology analysis is simply dealing with shape of the sperms and extracting the shape characteristics in medical parameters. The characteristics are obtained by image processing algorithms which utilizes Cellular Nanoscale Network (CNN) based and spatial image processing blocks. The following calculation of medical parameters are obtained from the outputs of image processing blocks. The algorithm is so designed to adapt the final SoC architecture such as Xilinx Zynq7000 device.Yayın New criteria for the existence of stable equilibrium points in nonsymmetric cellular neural networks(IEEE, 2003) Özcan, Neyir; Arık, Sabri; Tavşanoğlu, Ahmet VedatA new criteria for the existence of stable equilibrium points in nonsymmetric cellular neural networks (CNN) was presented. It was shown that the results obtained can be used to derive some complete stability conditions for some special classes of CNNs such as positive cell-linking CNNs, opposite-sign CNNs and dominant-template CNNs. The model of the CNN whose dynamical behavior was described by the state equations was discussed.Yayın Real-time frame buffer implementation based on external memory using FPGA(Elsevier B.V., 2018) Davutoğlu, Doğancan; Yıldız, Nerhun; Ayten, Umut Engin; Tavşanoğlu, Ahmet VedatIn this paper, design of a real-time video frame buffer with an external memory interface is proposed. In addition, simulation and implementation processes of the design is described. The mentioned system is able to buffer video signals up to 1920×1080 full-HD resolution at 60 Hz frame rate. The memory interface is designed based on an external SDRAM memory and supports burst read/write operations. Input video resolution, video buffer size on memory and burst size of the memory interface are user defined and can be configured.Yayın Bir otomatik hedef tanıma algoritmasının geliştirilmesi(IEEE, 2013-04-24) Aldemir, Erdoğan; Yıldız, Nerhun; Tavşanoğlu, Ahmet VedatBu bildiri kapsamında bir Otomatik Hedef Tanıma (OHT) sistemi ele alınarak geliştirilmiş ve geliştirilen sistemin Matlab benzetimleri bildiride sunulmuştur. İkinci olarak OHT sistemlerinde kullanılan ve literatürde sıkça karşılaşılan klasik kenar belirleme algoritmalarının dışında yeni bir kenar belirleme algoritması önerilmiştir. Son olarak da Freeman zincir kodlamasının özellik çıkartma aşamasında kullanılabileceği gösterilmiştir. İlgili sistemin sınıflandırma ve karar verme aşaması hariç tamamı değişik test görüntüleri üzerinde denenmiş ve insan gözüne hitap edebilecek seviyede başarılı sonuçlar elde edilmiştir. İleride sınıflandırma aşamasının da gerçeklenmesi ile tasarlanan OHT sisteminin başarımının daha tarafsız bir ölçüt ile test edilmesi hedeflenmektedir. Ayrıca sistemin donanıma yönelik olarak optimizasyonu ile bir Field Programmable Gate Array (FPGA) gerçeklemesinin yapılması hedefler arasındadır.Yayın Decomposition of the nodal conductance matrix of a planar resistive grid and derivation of its eigenvalues and eigenvectors using the kronecker product and sum with application to cnn image filters(IEEE, 2016-12) Tavşanoğlu, Ahmet VedatIt is shown that an (M× N)-node planar resistive grid can be decomposed into two sub-grids; one made up of M N-node horizontal and the other of N M-node vertical linear resistive grids which corresponds to decomposing its nodal conductance matrix (NCM) into the Kronecker sum of the NCMs of horizontal and vertical linear grids. This enables the analytical expressions of the eigenvalues and eigenvectors of the NCMs of the sub-grids as well as those of the planar resistive grid to be expressed in terms of those of the two linear grids, whose analytical expressions are well known. For a Cellular Neural Network (CNN) Gabor-type filter (GTF) we define generalized nodal conductance matrices (GNCMs) that correspond to the NCMs of the resistive sub-grids, show that each Kronecker decomposition has a counterpart in CNN GTF and prove that each GNCM, its counterpart NCM and the corresponding temporal state matrices are related through unitary diagonal similarity transformations. Consequently, we prove that the eigenvalues of the temporal state matrix of a spatial band-pass CNN GTF are the same as those of its counterpart spatial low-pass CNN image filter, hence their temporal transient behaviors are similar in settling to a forced response.
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