Download e-book for iPad: The Regularized Fast Hartley Transform: Optimal Formulation by Keith Jones

By Keith Jones

ISBN-10: 9048139163

ISBN-13: 9789048139163

ISBN-10: 9400731787

ISBN-13: 9789400731783

so much real-world spectrum research difficulties contain the computation of the real-data discrete Fourier rework (DFT), a unitary rework that maps parts N of the linear house of real-valued N-tuples, R , to components of its complex-valued N counterpart, C , and whilst performed in it really is conventionally accomplished through a real-from-complex procedure utilizing a complex-data model of the quick Fourier rework (FFT), the everyday identify given to the category of quick algorithms used for the ef?cient computation of the DFT. Such algorithms tend to be derived by means of explo- ing the valuables of symmetry, no matter if it exists simply within the rework kernel or, in yes conditions, within the enter information and/or output information to boot. for you to make powerful use of a complex-data FFT, although, through the selected real-from-complex N technique, the enter info to the DFT needs to ?rst be switched over from components of R to N parts of C . the cause of making a choice on the computational area of real-data difficulties such N N as this to be C , instead of R , is due partly to the truth that computing equ- ment brands have invested so seriously in generating electronic sign processing (DSP) units outfitted round the layout of the complex-data speedy multiplier and accumulator (MAC), an mathematics unit excellent to the implementation of the complex-data radix-2 butter?y, the computational unit utilized by the ordinary type of recursive radix-2 FFT algorithms.

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The Regularized Fast Hartley Transform: Optimal Formulation of Real-Data Fast Fourier Transform for Silicon-Based Implementation in Resource-Constrained ... (Signals and Communication Technology) by Keith Jones


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