{"product_id":"the-dft-an-owners-manual-for-the-discrete-fourier-transform-paperback-softback-9780898713428","title":"The DFT; An Owners' Manual for the Discrete Fourier Transform (Paperback \/ softback) 9780898713428","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe DFT\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Owners' Manual for the Discrete Fourier Transform\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eExplores the practical and theoretical aspects of the DFT, one of the most widely used tools in science and engineering.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilliam L.  Briggs (Author), Van Emden Henson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898713428, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 1 January 1987\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e450 pages\u003cbr\u003e25.5 x 17.3 x 2.3 cm, 0.76 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eJust as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a desired effect. In fact, by analyzing the component frequencies of a signal or any system, the DFT can be used in an astonishing variety of problems. Among the applications of the DFT are digital signal processing, oil and gas exploration, medical imaging, aircraft and spacecraft guidance, and the solution of differential equations of physics and engineering. The DFT: An Owner's Manual for the Discrete Fourier Transform explores both the practical and theoretical aspects of the DFT, one of the most widely used tools in science and engineering.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction. A Bit of History\u003cbr\u003e An Application\u003cbr\u003e Problems\u003cbr\u003e 2. The Discrete Fourier Transform (DFT). Introduction\u003cbr\u003e DFT Approximation to the Fourier Transform\u003cbr\u003e The DFT-IDFT pair\u003cbr\u003e DFT Approximations to Fourier Series Coefficients\u003cbr\u003e The DFT from Trigonometric Approximation\u003cbr\u003e Transforming a Spike Train\u003cbr\u003e Limiting Forms of the DFT-IDFT Pair\u003cbr\u003e Problems\u003cbr\u003e 3. Properties of the DFT. Alternate Forms for the DFT\u003cbr\u003e Basic Properties of the DFT\u003cbr\u003e Other Properties of the DFT\u003cbr\u003e A Few Practical Considerations\u003cbr\u003e Analytical DFTs\u003cbr\u003e Problems\u003cbr\u003e 4. Symmetric DFTs. Introduction\u003cbr\u003e Real sequences and the Real DFT (RDFT)\u003cbr\u003e Even Sequences and the Discrete Cosine Transform (DST)\u003cbr\u003e Odd Sequences and the Discrete Sine Transform (DST)\u003cbr\u003e Computing Symmetric DFTs\u003cbr\u003e Notes\u003cbr\u003e Problems\u003cbr\u003e 5. Multi-dimensional DFTs. Introduction\u003cbr\u003e Two-dimensional DFTs\u003cbr\u003e Geometry of Two-Dimensional Modes\u003cbr\u003e Computing Multi-Dimensional DFTs\u003cbr\u003e Symmetric DFTs in Two Dimensions\u003cbr\u003e Problems\u003cbr\u003e 6. Errors in the DFT. Introduction\u003cbr\u003e Periodic, Band-limited Input\u003cbr\u003e Periodic, Non-band-limited Input\u003cbr\u003e Replication and the Poisson Summation Formula\u003cbr\u003e Input with Compact Support\u003cbr\u003e General Band-Limited Functions\u003cbr\u003e General Input\u003cbr\u003e Errors in the Inverse DFT\u003cbr\u003e DFT Interpolation - Mean Square Error\u003cbr\u003e Notes and References\u003cbr\u003e Problems\u003cbr\u003e 7. A Few Applications of the DFT. Difference Equations - Boundary Value Problems\u003cbr\u003e Digital Filtering of Signals\u003cbr\u003e FK Migration of Seismic Data\u003cbr\u003e Image Reconstruction from Projections\u003cbr\u003e Problems\u003cbr\u003e 8. Related Transforms. Introduction\u003cbr\u003e The Laplace Transform\u003cbr\u003e The z- Transform\u003cbr\u003e The Chebyshev Transform\u003cbr\u003e Orthogonal Polynomial Transforms\u003cbr\u003e The Discrete Hartley Transform (DHT)\u003cbr\u003e Problems\u003cbr\u003e 9. Quadrature and the DFT. Introduction\u003cbr\u003e The DFT and the Trapezoid Rule\u003cbr\u003e Higher Order Quadrature Rules\u003cbr\u003e Problems\u003cbr\u003e 10. The Fast Fourier Transform (FFT). Introduction\u003cbr\u003e Splitting Methods\u003cbr\u003e Index Expansions (One ---\u0026gt; Multi-dimensional)\u003cbr\u003e Matrix Factorizations\u003cbr\u003e Prime Factor and Convolution Methods\u003cbr\u003e FFT Performance\u003cbr\u003e Notes\u003cbr\u003e Problems\u003cbr\u003e Glossary of (Frequently and Consistently Used) Notations\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Brand New","offer_id":52502948544792,"sku":"9780898713428","price":55.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898713428i.jpg?v=1786320538","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-dft-an-owners-manual-for-the-discrete-fourier-transform-paperback-softback-9780898713428","provider":"Freshly Printed Books","version":"1.0","type":"link"}