891 resultados para Karhunen-Loève transform


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General note: Title and date provided by Bettye Lane.

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Inscription: Verso: protestors demonstrate against women's rights, Fifth Avenue, New York.

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Inscription: Verso: International Woman's Day rally, New York.

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Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

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In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an alternative and efficacious tool for compensation of the nonlinear transmission effects in optical fiber links. In the Part I, we introduce the algorithmic platform of the technique, describing in details the direct and inverse PNFT operations, also known as the inverse scattering transform for periodic (in time variable) nonlinear Schrödinger equation (NLSE). We pay a special attention to explaining the potential advantages of the PNFT-based processing over the previously studied nonlinear Fourier transform (NFT) based methods. Further, we elucidate the issue of the numerical PNFT computation: we compare the performance of four known numerical methods applicable for the calculation of nonlinear spectral data (the direct PNFT), in particular, taking the main spectrum (utilized further in Part II for the modulation and transmission) associated with some simple example waveforms as the quality indicator for each method. We show that the Ablowitz-Ladik discretization approach for the direct PNFT provides the best performance in terms of the accuracy and computational time consumption.

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In this paper we propose the design of communication systems based on using periodic nonlinear Fourier transform (PNFT), following the introduction of the method in the Part I. We show that the famous "eigenvalue communication" idea [A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993)] can also be generalized for the PNFT application: In this case, the main spectrum attributed to the PNFT signal decomposition remains constant with the propagation down the optical fiber link. Therefore, the main PNFT spectrum can be encoded with data in the same way as soliton eigenvalues in the original proposal. The results are presented in terms of the bit-error rate (BER) values for different modulation techniques and different constellation sizes vs. the propagation distance, showing a good potential of the technique.

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What is the maximum rate at which information can be transmitted error-free in fibre-optic communication systems? For linear channels, this was established in classic works of Nyquist and Shannon. However, despite the immense practical importance of fibre-optic communications providing for >99% of global data traffic, the channel capacity of optical links remains unknown due to the complexity introduced by fibre nonlinearity. Recently, there has been a flurry of studies examining an expected cap that nonlinearity puts on the information-carrying capacity of fibre-optic systems. Mastering the nonlinear channels requires paradigm shift from current modulation, coding and transmission techniques originally developed for linear communication systems. Here we demonstrate that using the integrability of the master model and the nonlinear Fourier transform, the lower bound on the capacity per symbol can be estimated as 10.7 bits per symbol with 500 GHz bandwidth over 2,000 km.

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Few symbols of 1950s-1960s America remain as central to our contemporary conception of Cold War culture as the iconic ranch-style suburban home. While the house took center stage in the Nixon/Khrushchev kitchen debates as a symbol of modern efficiency and capitalist values, its popularity depended largely upon its obvious appropriation of vernacular architecture from the 19th century, those California haciendas and Texas dogtrots that dotted the American west. Contractors like William Levitt modernized the historical common houses, hermetically sealing their porous construction, all while using the ranch-style roots of the dwelling to galvanize a myth of an indigenous American culture. At a moment of intense occupational bureaucracy, political uncertainty and atomized social life, the rancher gave a self-identifying white consumer base reason to believe they could master their own plot in the expansive frontier. Only one example of America’s mid-century love affair with commodified vernacular forms, the ranch-style home represents a broad effort on the part of corporate and governmental interest groups to transform the vernacular into a style that expresses a distinctly homogenous vision of American culture. “Other than a Citizen” begins with an anatomy of that transformation, and then turns to the work of four poets who sought to reclaim the vernacular from that process of standardization and use it to countermand the containment-era strategies of Cold War America.

In four chapters, I trace references to common speech and verbal expressivity in the poetry and poetic theory of Charles Olson, Robert Duncan, LeRoi Jones/Amiri Baraka and Gwendolyn Brooks, against the historical backdrop of the Free-Speech Movement and the rise of mass-culture. When poets frame nonliterary speech within the literary page, they encounter the inability of writing to capture the vital ephemerality of verbal expression. Rather than treat this limitation as an impediment, the writers in my study use the poem to dramatize the fugitivity of speech, emphasizing it as a disruptive counterpoint to the technologies of capture. Where critics such as Houston Baker interpret the vernacular strictly in terms of resistance, I take a cue from the poets and argue that the vernacular, rooted etymologically at the intersection of domestic security and enslaved margin, represents a gestalt form, capable at once of establishing centralized power and sparking minor protest. My argument also expands upon Michael North’s exploration of the influence of minstrelsy and regionalism on the development of modernist literary technique in The Dialect of Modernism. As he focuses on writers from the early 20th century, I account for the next generation, whose America was not a culturally inferior collection of immigrants but an imperial power, replete with economic, political and artistic dominance. Instead of settling for an essentially American idiom, the poets in my study saw in the vernacular not phonetic misspellings, slang terminology and fragmented syntax, but the potential to provoke and thereby frame a more ethical mode of social life, straining against the regimentation of citizenship.

My attention to the vernacular argues for an alignment among writers who have been segregated by the assumption that race and aesthetics are mutually exclusive categories. In reading these writers alongside one another, “Other than a Citizen” shows how the avant-garde concepts of projective poetics and composition by field develop out of an interest in black expressivity. Conversely, I trace black radicalism and its emphasis on sociality back to the communalism practiced at the experimental arts college in Black Mountain, North Carolina, where Olson and Duncan taught. In pressing for this connection, my work reveals the racial politics embedded within the speech-based aesthetics of the postwar era, while foregrounding the aesthetic dimension of militant protest.

Not unlike today, the popular rhetoric of the Cold War insists that to be a citizen involves defending one’s status as a rightful member of an exclusionary nation. To be other than a citizen, as the poets in my study make clear, begins with eschewing the false certainty that accompanies categorical nominalization. In promoting a model of mutually dependent participation, these poets lay the groundwork for an alternative model of civic belonging, where volition and reciprocity replace compliance and self-sufficiency. In reading their lines, we become all the more aware of the cracks that run the length of our load-bearing walls.

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Un document accompagne le mémoire et est disponible pour consultation au Centre de conservation des bibliothèques de l'Université de Montréal (http://www.bib.umontreal.ca/conservation/).

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In modernity, failure was the discourse of critique, today, it is increasingly the discourse of power: failure has changed its allegiances. Over the last two decades, failure has been enfolded into discourses of power, facilitating the development of new policy approaches. Foremost among governing approaches that seek to include and to govern through failure is that of resilience. This article seeks to reflect upon how the understanding of failure has become transformed in this process, particularly linking this transformation to the radical appreciation of contingency and of the limits to instrumental cause-and-effect approaches to rule. Whereas modernity was shaped by a contestation over failure as an epistemological boundary, under conditions of contingency and complexity there appears to be a new consensus on failure as an ontological necessity. This problematic ‘ontological turn’ is illustrated using examples of changing approaches to risks, especially anthropogenic understandings of environmental threats, formerly seen as ‘natural’.

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This article focuses on the analysis of the concept of love in the religious philosophy of Pavel Florensky, who shares the ontological approach to the consideration of love with other representatives of Russian religious philosophy (N. berdyaev and S. bulgakov). We pay more careful attention to the understanding of love-άγαπαν by Florensky. We have drawn the conclusion that, in the philosophy of P. Florensky, Love, closely connected with truth and beauty, is considered an ontological basis existence of personality. We develop the ideas of Pavel Florensky, and accordingly assume that it is possible to synthesise love-agape and love-eros around the idea of sacrificial love. Agapelogical and erotical ‘bezels’ of one jewel of love is aspects of united love, which is given by God. this gift of God, the gift of united love, is kept by humans through prayer and deeds of love.