Art essay, statement and analysis Essay Example | Topics and Well Written Essays - 1250 words

Art , statement and analysis - Essay Example Botticelli’s painting of Three Graces (1482) is a fragment of the tempera panel painting â€Å"Primavera†; it describes three Greek mythological goddesses Aglaia, Thalia and Euphrosyne. They are pictured dancing and holding their hands, looking at each other. The women look a kind of alike, they have the same hair color and the textures of their dresses are also similar, which shows that artist intended to picture them as a separate part from the whole composition, but didn’t want to emphasize on each of them, on the contrary, Botticelli made them as one element of the painting. The lines on the painting are soft and precise; color and shading form a three-dimensional picture – these factors influent on the naturalistic visualization of the Graces. The curling hair of the goddesses and the translucent elements of their clothes create an impression of lightness and serenity of women’s characters, and the dark background simultaneously emphasizes on t his impression by contrasting, but also alienates this group of characters from the others in the painting. Three Graces are depicted extremely naturally; with a high technique Botticelli succeed to describe the goddesses both mythically and realistically. The sculpture of Three Graces (Roman copy of a Greek work of the second century b.c (marble) is an image of three young women, holding each other’s shoulders, the one in the middle is turned backwards. Some of the women have their hands cut and they all don’t have a head details, the statue was damaged, the artist created this work is unknown. Because of the damages this work of art cannot be properly interpreted. The sculpture is made of marble, white color and smooth surface; the figures of goddesses are real human sized, they stand on ovoid base surrounded by two pillars on lateral sides. Elements of the sculpture were made smooth and polished; in addition, the connection between women in the

Nonprofit Evaluation Questions Assignment Example | Topics and Well Written Essays - 500 words

Nonprofit Evaluation Questions - Assignment Example Triangulation however eliminates effect of chance observations while evaluation of rival opinions develops credibility of a researcher’s findings (Montello and Sutton, 2006; Woodside, 2008). Some of the areas of evaluation that requires honesty and integrity are identification of the nature of relationship between variables, determination of the best model of fit and identification of possible variations from the best model. Both honesty and integrity influences an evaluator’s decision on whether to communicate exact observations or exercise bias in the areas of evaluation. Exercising honesty and integrity however ensures communication of the exact relationship between the variables, accurate determination, and implementation of the model of best fit as well as accurate communication of identified noise and noise factors. These initiatives facilitate validity and reliability of research results and conclusions (Montello and Sutton, 2006). An example of an abstract concept of evaluation, in my organization’s environment, is low staff morale with respect to staffs’ faculty. Staff morale refers to the level of confidence or motivation among employees and can be evaluated using qualitative research methods (Montello and Sutton, 2006). The best sampling approach when a researcher has access to the entire population is stratified random sampling. The approach considers differences in characteristics among groups of the population to reflect strata features in results and conclusions besides reducing unit costs in data collection. â€Å"Non probability convenience sampling† however, is the most appropriate in cases where the subjects are hard to find as the technique is guided by the research questions (Biber, 2010, p. 50). The best approach to collecting sensitive data is through developing the participant’s trust. This is because winning the participants’ confidence that the

Exploration of Nazi captivity Essay Example | Topics and Well Written Essays - 1500 words

Exploration of Nazi captivity - Essay Example It is undoubtedly true that Adolf Hitler and slave owners exploited the unfortunates, using tragic inhumane methods. Before Hitler’s death he uttered, â€Å"Brutal force has not won anything durable.† Nazi slavery, or American chattel slavery were alternative beats of the same wicked heart, against the races that were at a highly disadvantageous position. Were the captives taken by the Nazi’s slaves? As far as history can retell the tales of these camps that were established to keep thousands of Jews in prison, one finds horrific tales of people who were brutally killed and the massacres; if we may use the term; to eliminate them. What happened in those camps will be discussed in the following text as we move step by step through articles found related to this topic. Amongst these articles are tales of eyewitnesses as well as som survival stories which shed light on the activities that went on in those prison camps. Before we set on to discover what and how the people or prisoners were treated and humiliated in the German camps set up under Hitler’s command, let’s go down the road of history to the time that Romans ruled one can see how they treated their slaves. Watching the slaves being tortured and killed was a game that the rulers of the Roman Empire enjoyed the most. (Femi Akomolafe, 1994) A review of a book on the survival of a captive from the Auschwitz in 1945 describes how the slaves were being treated. It fore tells how the slaves entered the gates where the sign  read â€Å"Arbeit  Macht Frei†. They were made to stay in cold rooms for hours, while the rooms were filled with freezing water that reached the ankles. Completely undressed and asked to remain naked even the shoes were not allowed. While in that condition the barbers were sent in to shave the heads of all the captives. The men were kept for hours in the same condition and they kept on thinking about their families and what was happening to the females

The World The Way the Migrant Worker Is Aligned With the Theme Park Essay

The World The Way the Migrant Worker Is Aligned With the Theme Park Employee - Essay Example In the movie, one limitation of Chinese modernization is shown in the problem of language barrier. In one scene, Tao could not speak Russian in the same way that Anna could not speak Chinese, and no matter how much they seemed to understand each other’s emotions, it was not enough. The only thing that they could afford to say was each other’s names and apart from that, they could not say any other word in the other person’s language. When they met in the bathroom, when Anna asked Tao, â€Å"How are you? Why are you looking at me like that?† somehow both knew that it was because Anna became a prostitute. Moreover, Tao and Anna simply cried with Tao not even realizing that what Anna meant that time was that she has resigned herself to becoming a prostitute. On the other hand, Tao seemed clueless why such a thing happened. Perhaps too, she was crying out of confusion, because she could not clearly understand why Anna had to become a prostitute. The language b arrier between Anna and Tao is somehow reflective of the rather limited context of Chinese modernization. China is modernized but not in terms of language, perhaps in order to prevent communication of important issues between people like Tao and Anna, while at the same time perhaps because China discriminates against foreigners like Anna. However, Anna sees the positive side of this when she told Tao, â€Å"We do not speak the same language but we are friends. You are the only friend I have here.† Nevertheless, although friendship abounds between two people of different languages, it is still obviously extremely difficult for each one of them to express their true sentiments to each other, considering that both may think the other may not totally understand her. In the same scene where Anna had to become a prostitute, it also illustrates the exploitation of both the migrant worker and the theme park employee.  In a scene, before both women met in the bathroom, a Chinese man in coat and tie approached Tao just along the hallway at the bar.     

Advertising and marketing communications Assignment

Advertising and marketing communications - Assignment Example This paper explores the potentiality of the different medium of advertising sought after a critical reading of the lecture series to incorporate the learning theories in practice on Public Health Campaign promoting HEALTHY EATING. Here we consider various theoretical issues for understanding marketing communications such as integrated marketing communications, the communication process, the communication environment and ethics. Further, we consider different marketing communication channels and apply our theoretical understanding of communications to examine their effectiveness. The present problem being children related, there is special references in pediatric suggestions suppose to reflect in periodicals. The in box materials suggest the substantial literature while the Strategic Steps are drawn on how to carry out this campaign.Obesity is a condition in which the natural energy reserve, stored in the fatty tissue of humans and other mammals associated with certain health conditio ns or increased mortality. Although obesity is an individual clinical condition, it needs to show concern as a serious and growing public health problem: excessive body weight has been shown to predispose to various diseases, particularly cardiovascular diseases, diabetes mellitus type 2, sleep apnea and osteoarthritis. CHILDHOOD OBESITY is a medical condition that affects children. Characteristically it delves a weight well above the mean for their height and age and a body mass index well above the norm. Childhood obesity has become an "epidemic" in Western countries, in particular, the United States, United Kingdom and Australia. Over 15% of American children are currently under the curse to be obese, and the number is growing. Strategic step 1: INTEGRATED MARKETING COMMUNICATIONS Communication has always provided the symbolic resources and medium for the construction of identity. We are now more sensitive to the way that the growth of commercial symbols such as brands has added richness to the choice of symbols we might use to build and communicate identities and ideas. Integrating marketing communications is not straightforward, for this includes non-integrated management of communications, different types of language and mindset for different types of promotional activities and the complex nature of many organizations. Marketers need to write messages, transmit those messages and those messages, to a greater or lesser degree, and have the intended effect on the readers and viewers. OBESITY: THE CAUSES WITHOUT BLAMING THE GENES Acquired Childhood obesity results from poor eating habits, as well as genetic and hormonal causes. Fast food restaurants and junk food are popular with children. Even frequent eating out often results in weight gain. Children who do not engage in frequent physical activity are much more likely to suffer from obesity. This is due to the recent technological developments, including video games, computers, and mobile phones. Physically inactive children are unable to burn off the calories that they gain from eating. Do you agree Send your comments. Psychological factors These factors influence a child's eating habits and many children eat in response to stress and or negative emotions such as boredom, anger, sadness, anxiety or depression. Do you agree Write your problem to us. Hereditary Many might think obesity could be hereditary. Mostly obesity occurs by shared unhealthy eating habits in the household, it has been suggested that there may be a genetic reason for obesity. However, recent studies have shown that while there is evidence of in vitro influences on food choice, perhaps the largest influence can occur during the toddler years. Indeed, recent studies have shown that parents influence an estimated 72% of what and how much their

The Milk Chain Essay Example for Free

The Milk Chain Essay Malawi Dairybord is a home for dairy products. Rogers has run the dairy for the past twelve years. His product is a combination of goods the items he delivers and services the delivery and associated jobs he does for customers. At the heart of operations is an information system which contains full details of all of Rogers’s 1000 plus customers, including their regular orders, special orders, where to deliver, how they pay and so on. Everyday the system calculates the likely sales of all products in two days time. Rogers adds some margin of safety allows for likely variations and passes his order to Unidairy some 150km away. Unidairy acts as a wholesaler for milkmen in Bvumbwe and surrounding areas. The following evening Unidairy delivers to a holding depot in Limbe and then takes Roger’s goods 10km to a cold store in Njuli. At 5. 30am the following morning Roger collects the order from his cold store and starts delivering to customers. This normally takes until 1. 30 in the afternoon but on Fridays he spends more time collecting money and often finishes after 5. 0pm There are several specific problems facing Malawi Dairybord. There is for example some variation in daily demand so Roger has to carry spare stock. He cannot carry too much as dairy products have a short life and anything not delivered is thrown away. Roger aims at keeping this waste down to 2% of sales. There are also problems maintaining a service during holidays, or when Unidairy has difficulties with their deliveries. Perhaps Roger’s main concern is maintaining his sales over the long term. Demand for doorstep deliveries is declining as people buy more milk at supermarkets. The number of milkmen in Bvumbwe has declined from ten in 1997 to three in 2012. Most of Roger’s customers have been with him for many years but he generates new custom delivering leaflets, special offers and carrying a range of products. Case study questions Describe the supply chain for milk Where does Malawi Dairybord fit into this? What specific activities form the logistics in Malawi Dairybord. Draw the supply chain network What are the main problems that Malawi Dairybord has with logistics?

VLSI Architecture for QR Decomposition on MHHT Algoritm

VLSI Architecture for QR Decomposition on MHHT Algoritm A VLSI Architecture for the QR Decomposition based on the MHHT Algorithm s.n.v.sai.pratap1 k.kalyani2 s.rajaram3 Abstract: This paper presents Novel VLSI (Very Large Scale of Integration) architecture for the QR decomposition (QRD) based on the Modified Householder transformation (MHHT) algorithm. QRD of a matrix H is decomposition of matrixHinto a productof an orthogonal matrix Qand an upper triangularR. QRD is often used to solve several engineering problems in many areas. Pre-processing modules based on QRD makes the decoding in signal processing easier and implementing data detection with QRD helps to reduce the complexity of spatial multiplexing MIMO – OFDM detection. The techniques used for implementing QR decomposition are: Givens rotation, Modified GramSchmidt Orthogonalization (MGS), Householder Transformations (HHT), and indeed Modified Householder transformation (MHHT). The proposed MHHT algorithm shows best trade-off between complexity and numerical precision, and also suites for VLSI architectures. The proposed MHHT algorithm reduces computation time and hardware area of the QRD block compared to the existing Householder algorithm. Implementation of this algorithm is carried out in FPGA Virtex6 xc6vlx550tl-1Lff1759 device with the help of Xilinx ISE 14.1. Keywords: MIMO systems,VLSI architecture, QR Decomposition (QRD), Householder Transformation(HHT). 1. INTRODUCTION: The QR decomposition (QRD) is a basic matrix factorization method from matrix-computation theory used to compute two output matrices Q and R from an input matrix H, such that H = QR. QRD is often used to solve many engineering areas like least-square problems, linear system equations etc. For symbol-decoding solutions inside Spatial-Multiplexing Multiple-Input Multiple-Output (SM-MIMO) systems, QRD basically consists in simplifying demodulation tasks in suboptimal and near-optimal solutions by finding an orthogonal matrix Q and an upper-triangular matrix R from an input matrix H. Several techniques towards implementing the QRD are already reported in literature. For instance, and under the context of SM-MIMO systems, the most explored are the Modified Gram-Schmidt Orthogonalization (MGS, as a generalized improvement of the Gram-Schmidt algorithm), Givens rotation, the Modified Householder Transformations (MHHT as an enhancement of the Householder Transformation algorithm). Due to its simplicity and numerical stability, the QR factorization algorithm utilizing Householder transformations has been adopted. An overview of the main steps of the Existing Householder QR algorithm is presented. The purpose of this work is to show that when modifying existing Householder QR factorization to the matrix H, the computational complexity and hardware area gets reduced. Due to its trade-off in complexity, numerical precision, and VLSI implementation suitability, the MHHT is preferred. The contribution of this paper is to present a flexible and scalable FPGA-based VLSI architecture with competitive capabilities against other related approaches, motivated on the context of SM-MIMO demodulation solutions. The organization of this paper is as follows: Section II presents the QRD. In Section III, the exisiting HHT and MHHT algorithm is exposed. Implementation results are reported in Section IV, and conclusions are covered in Section V. 2. QR DECOMPOSITION The QRD constitutes a relevant pre-processing operation in SM-MIMO demodulation tasks [1-2]. The baseband equivalent model can be described in (1) At each symbol time, a vector S with each symbol belonging to the Quadrature Amplitude Modulation (q-QAM) constellation passes through the channel response matrix H. The received vector y at the receiving antenna for each symbol time is a noisy superimposition of the signals contaminated by Additive White Gaussian Noise (AWGN) given by n.The maximum likelihood (ML) detector is the optimum detection algorithm for the MIMO system. It requires finding the signal point from all transmit vector signal sets that minimize the Euclidean distance with respect to the received signal vector. The transmitted symbol s can be estimated by solving (2) This gives the optimal result. However, solving (2) with larger constellations and multiple antennas will result in complex calculations. Instead of solving (2) as such, the symbol estimation can be simplified by using QR decomposition of.That is where resides the usefulness of decomposing matrix H in a QR form, yielding a back-recursive dependency on elements in S without incurring into a BER (Bit Error Rate) loss [3-4]. With this practice, the computational complexity is reduced. The detected vector is computed based on the ML algorithm with QR decomposition as given in (3) (3) where is in upper triangular form, approximation of is computationally simpler with the aid of (3). Note that for MIMO-OFDM systems operated in stationary environments, the channel matrix remains almost the same. Thus, QR decomposition of the channel matrix can be done only once to get matrix. On the other hand, the calculation of must be updated for every incoming signal. 2.1 QRD IMPLEMENTATION The techniques used for QR decomposition are: Gram–Schmidt algorithm obtains the orthogonal basis spanning the column space of the matrix by the orthogonality principle. Using a series of projection, subtraction, norm and division, the column vector of the unitary matrix containing the orthogonal basis can be acquired one by one and upper triangular matrix is also obtained as a by-product. Householder Transformation (HHT) tries to zero out the most elements of each column vector at a stroke by reflection operations. The upper triangular matrix is derived after each transformation matrix being applied to every column vector sequentially. The unitary matrix involves the multiplications of these Householder transformation matrices and thus the complexity is much higher. On the other hand, Givens Rotation (GR) zeros one element of the matrix at a time by two-dimensional rotation. If an identity matrix is fed as an input, the unitary matrix will be calculated by using the same rotation sequence when the upper triangular matrix is obtained (Malstev 2006; Hwang 2008 and Patel 2009).The Gram–Schmidt algorithm has the disadvantage that small imprecisions in the calculation of inner products accumulate quickly and lead to effective loss of orthogonality.HHT method has greater numerical stabilitythan the Gram–Schmidt method. Givens method stores two numbers c and s, for each rotation and thus requires more storage and work than Householder method .Givens rotation requires more complicated implementation in order to overcome this disadvantages. Givens rotation can be beneficial for computing QR factorization only when many entries of matrix are already zero, since nullifying certain matrix elements can be skipped. Unlike Givens Transform, Householder Transform can act on all columns of a matrix, and require less computations for Tridiagonalization and QR decomposition, but cannot be deeply or efficiently parallelized. Householder is used for dense matrices on sequential machines, while Givens is u sed for sparse matrices or/on parallel machines. 3. QRD using Householder Transformation In this section, the existing Householder Transformation algorithm is described, followed by proposed HHT method architecture is demonstrated in detail. 3.1 Householder Transformation Householder QR algorithm gradually transforms H into an upper triangular form R by applying a sequence of Householder matrices (multiplies H from the left with Q). Householder transformation is performed by projecting a multi-dimensional input vector onto a plane zeroes multiple elements at the same time. An nÃâ€"n matrix H of the form , (4) is called a Householder matrix. The vector is called a Householder vector. Pre-multiplication of the coefficient matrix with is used to zero out appropriate elements of. It is easy to verify that Householder matrices are symmetric and orthogonal. The Householder matrix block involves the computation of an outer product which requires complexity operation. However, the practical time requirement of using to zero out elements in is lower than that of computing a full outer product. This is because of the tedious computation of the full matrix which is not necessary in practice. Householder reflections work well for introducing large number of zeros using just one matrix multiplication (computing). Normally, all the elements below the diagonal of an entire column of the matrix are eliminated by one Householder reflection. However, this leads to a difficulty when Householder transforms are implemented on parallelly. One reflection affects multiple rows, and therefore, it is difficult to achieve fine-grained parallelism in the operation. The algorithm for Householder transform is given in Table 1. and its block diagram is given in Figure 2. Fig. 2 Block diagram of HHT Table 1 HHT algorithm End Householder vector block: The conventional method of Householder algorithm for decomposing channel matrix is given in Table 1. Initially, the channel matrix is assigned to matrix. It can be periodically updated by following steps to obtain upper triangular matrix. The first column of is assigned to ‘a’ vector. After that the norm value of ‘a’ is calculated and assigned it to ‘g’. The Householder vector ‘v’ is the division ‘u’ and‘t’ which is the norm operation of vector selection . Householder matrix block: The output of Householder vector is given as input to Householder matrix block. Finally, H is computed by The above operation can be updated upto n times to obtain the upper triangular matrix and unitary matrix. It is given below, (5) Q = (HnHn-1†¦H1) T (6) Here the matrix is given to the input of channel matrix to update its vector value. The orthogonal matrix is computed by the multiplication of ‘n’ Householder matrix. Hence its complexity increases and also it occupy more hardware area. If the matrix size increases, the hardware area also increases tremendously. So there is need to reduce the hardware complexity of this block. 3.2 Proposed HHT method The existing method of Householder reflection requires large hardware area and computation time. Householder transformations also provide the capability of nullifying multiple elements simultaneously by reflecting a multi-dimensional input vector onto a plane. However, VLSI implementation of the Householder algorithm needs square-root, multiplication and division operations, which require high hardware complexity. To resolve this issue, a novel Householder algorithm is presented that use series of simple Householder projections, which can be easily implemented using simple arithmetic operations. The proposed algorithm as given in table2 has lesser number of computations compared to the existing algorithm. In Figure 3, the block diagram of modified method is given. It shows two major sub blocks (i.e.) householder vector block and householder matrix block. Householder vector block is same to the previous method of computing ‘v’ with extra weight vector computation. Here modification taken in the Householder matrix block to eliminate matrix multiplication. The vector ‘v’ subtracted from ‘f’ and column vector of channel matrix to give ‘H’ value. Fig. 3 Block diagram of MHHT. In the first step, matrix H is reduced to with all zeros below the diagonal element in the first column by computing the sign of the pivot element d and weight value w. Compared to the previous algorithm, number of steps required to obtain the first matrix can be reduced. For example, if the initial channel matrix of 4Ãâ€"4 undergone to Householder reflection, then it reduces the matrix with all zeros below the first element. The computation of Householder vector in the existing algorithm requires large memory and area. Because is a 4Ãâ€"4 matrix, multiplication of become complex process. To avoid such a task, column vector of matrix has been taken one by one and process it iteratively to obtain the upper triangular matrix. After computation of the first step the matrix size reduced to. After that, the sub matrix of size 3Ãâ€"3 is taken and the steps can be applied repeatedly. The algorithm to compute Householder Vector block is given below. Table 2 HHT algorithm End Repeat above steps for right bottom (n-1)*(n-1) matrix of R Householder vector block: In this Householder reflection algorithm, it transforms the column (7) into the vector of the form (8) where the diagonal element (9) The Householder vector can be computed by, (10) where and This block computation is same as that of previous Householder vector block with a little modification in the weight value. Householder matrix block: After obtaining the Householder vector, the output vector is given to the input of Householder matrix block. The computation of this block is very simple compared to previous method of Householder matrix block computing. The Householder matrix element algorithm is given below, (11) where It reduces the channel matrix to its upper triangular form in steps. To reduce the complexity of computing Q, here the output vector y’ has been taken directly and its algorithm is given below, (12) So the execution time for computing the upper triangular matrix and output vector is very less when compared to conventional Householder reflection algorithm. This reduces the hardware area for the Householder matrix block. The QR decomposition using modified Householder transformation algorithm is simulated by taking ‘a’ as input channel matrix, ‘zb’ as output vector and ‘upper’ as upper triangular matrix. The unitary or orthogonal matrix ‘Q’ need not to be calculated. The output vector in (3) can be computed from the updated Householder vector ‘v’. Also the extra time needed to calculate ‘Q’ can be reduced. So the speed of decomposing the channel matrix can be increased tremendously. 4. Results and Discussion QR decomposition algorithm is required as a pre-processing unit for many MIMO detectors. The accuracy of the channel matrix QR decomposition does not have an impact on the MIMO detection process and finally receiver’s bit-error-rate (BER) performance. The existing and proposed Householder algorithms are downloaded on to Xilinx device xc6vlx550tl-1Lff1759. The synthesis results are compared to show the area efficiency of the proposed one. The channel matrix H elements are represented in floating point representation of 16 bits comprising 1 for sign bit,3 bits for decimal part and 12 bits for fractional part. The 16 bit representation shows an numerical precision oscillates around the interval[10-6,10-5] for both existing and modified algorithms . The computation of column vectors of the R matrix can be parallelised in modified algorithm and thus improvement is obtained in computational time of 49.7% reduction.The computational time for proposed algorithm is about 194.84ns,whereas exisiting algorithm is about 394.56ns. Modified algorithm reduces the matrix computation into vector multilications for some extent and thus reduces the hardware area as obtained from the synthesis report. Table 3 Synthesis report for Conventional Householder algorithm Logic Utilization Used Available Slice LUTs 11142 343680 Bonded IOBs 768 840 BUFG/BUFGCTRL’S 0 32 DSP48E1s 261 864 Table 4 Synthesis report for Proposed Householder algorithm Logic Utilization Used Available Slice LUTs 7634 343680 Bonded IOBs 385 840 BUFG/BUFGCTRL’S 1 32 DSP48E1s 70 864 Table 5 Comparison result Logic Utilization Conventional HHT Proposed HHT % reduced Slice LUTs 11142 7634 31% LUT Flip flops 768 385 49.8% Bonded IOBs 0 1 DSP48E1s 261 70 73% 5. Conclusion To reduce the computational and hardware complexity, Householder transformation algorithm for QRD has been modified. The computation of Q is the tedious process in the existing algorithm. In this work, it can be overcome by directly computing output vector. It reduces the computation time by 52.38% and also reduce in hardware area compared to previous HHT algorithm (Slices – 31%, LUTs – 49.8%) presented in the QRD. Thus it is evident from the comparison result that the number of slices and 4 input LUTs required in FPGA implementation of QR Decomposition is reduced thereby making the low complex design which can meet the specifications of most OFDM communication systems, including VDSL, 802.16, DAB and DVB. In future, this work can be extended to implement K-best LSD and Turbo decoding of LTE receiver. References Lee, K.F. and Williams, D.B.: A space-frequency transmitter diversity technique for OFDM systems. In Proc. Global Telecommunications Conf., San Francisco, CA, pp. 1473-1477. (Nov. 2000) H. Kim, J. Kim, S. Yang, M. Hong, and Y. Shin, â€Å"An effective MIMO–OFDM system for IEEE 802.22 WRAN channels,† IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 8, pp. 821–825, Aug. 2008. H.-L. Lin, R. C. Chang, and H.-L. Chen, â€Å"A high speed SDM-MIMO decoder using efficient candidate searching for wireless communication,† IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 3, pp. 289–293, Mar. 2008. L. Boher, R. Rabineau, and M. Helard, â€Å"FPGA implementation of an iterative receiver for MIMO–OFDM systems,† IEEE J. Sel. Areas Commun., vol. 26, no. 6, pp. 857–866, Aug. 2008. M.-S. Baek, Y.-H. You, and H.-K. Song, â€Å"Combined QRD-M and DFE detection technique for simple and efficient signal detection in MIMO–OFDM systems,† IEEE Trans. Wireless Commun., vol. 8, no. 4, pp. 1632–1638, Apr. 2009. C. F. T. Tang, K. J. R. Liu, and S. A. Tretter, â€Å"On systolic arrays for recursive complex Householder transformations with applications to array processing,† in Proc. Int. Conf. Acoustics, Speech, and Signal Process., 1991, pp. 1033–1036. K.-L. Chung and W.-M. Yan, â€Å"The complex Householder transform,† IEEE Trans. Signal Process., vol. 45, no. 9, pp. 2374–2376, Sep. 1997. S. Y. Kung, VLSI Array Processors. Upper Saddle River, NJ, USA: Prentice-Hall, 1987.