Orthogonalization of OFDM/OQAM pulse shaping filters using the discrete Zak transform
نویسندگان
چکیده
منابع مشابه
Orthogonalization of OFDM/OQAM pulse shaping filters using the discrete Zak transform
We introduce a computationally efficient FFT-based algorithm for the design of OFDM/ OQAM pulse shaping filters of arbitrary length and with arbitrary overlapping factors. The basic idea of our approach is to start from an arbitrary initial (nonorthogonal) filter and to perform an orthogonalization which yields an ISIand ICI-free pulse shaping filter. The orthogonalization is performed in the d...
متن کاملA Discrete Zak Transform
A discrete version of the Zak transform is defined and used to analyze discrete Weyl–Heisenberg frames, which are nonorthogonal systems in the space of square-summable sequences that, although not necessarily bases, provide representations of square-summable sequences as sums of the frame elements. While the general theory is essentially similar to the continuous case, major differences occur w...
متن کاملThe Zak Transform ( s )
We introduce the operator Z that is often called the Zak transform. Our definition is a bit different from the one that usually appears in the literature. We will discuss this difference and will also give a historical account that the reader may find particularly interesting. In order to do this, however, we need to present our treatment of the operator Z (and Z̃) which shows that the Fourier t...
متن کاملConstruction of wavelet analysis in the space of discrete splines using Zak transform
We consider equidistant discrete splines S(j), j ∈ Z, which may grow as O(|j|s) as |j| → ∞. Such splines present a relevant tool for digital signal processing. The Zak transforms of Bsplines yield the integral representation of discrete splines. We define the wavelet space as a weak orthogonal complement of the coarse-grid space in the fine-grid space. We establish the integral representation o...
متن کاملCoherent Fourier transform electrical pulse shaping.
Fourier synthesis pulse shaping methods allowing generation of programmable, user defined femtosecond optical waveforms have been widely applied in ultrafast optical science and technology. In the electrical domain, arbitrary waveform generation is well established at frequencies below approximately 1 GHz, but is difficult at higher frequencies due to limitations in digital-to-analog converter ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Signal Processing
سال: 2003
ISSN: 0165-1684
DOI: 10.1016/s0165-1684(03)00087-2