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439
Exploiting Input Cyclostationarity for Blind Channel Identification in OFDM Systems
 IEEE Trans. Signal Processing
, 1999
"... Transmitterinduced cyclostationarity has been explored recently as an alternative to fractional sampling and antenna array methods for blind identification of FIR communication channels. An interesting application of these ideas is in OFDM systems, which induce cyclostationarity due to the cyclic p ..."
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Cited by 50 (1 self)
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prefix. In this correspondence, we develop a novel subspace approach for blind channel identification using cyclic correlations at the OFDM receiver. Even channels with equispaced unit circle zeros are identifiable in the presence of any nonzero length cyclic prefix with adequate block length
Limits of zeros of orthogonal polynomials on the circle
, 2004
"... We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a question of P. ..."
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Cited by 4 (2 self)
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We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a question of P
Reciprocal polynomials with all but two zeros on the unit circle
"... Abstract We derive sufficient conditions under which all but two zeros of reciprocal polynomials lie on the unit circle, and specify the remaining two zeros. 2000 Mathematics Subject Classification: 30C15. ..."
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Abstract We derive sufficient conditions under which all but two zeros of reciprocal polynomials lie on the unit circle, and specify the remaining two zeros. 2000 Mathematics Subject Classification: 30C15.
ZEROS OF NONBAXTER PARAORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE
"... Abstract. We provide leading order asymptotics for the size of the gap in the zeros around 1 of paraothogonal polynomials on the unit circle whose Verblunsky coefficients satisfy a slow decay condition and are inside the interval (−1, 0). We also include related results that impose less restrictive ..."
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Abstract. We provide leading order asymptotics for the size of the gap in the zeros around 1 of paraothogonal polynomials on the unit circle whose Verblunsky coefficients satisfy a slow decay condition and are inside the interval (−1, 0). We also include related results that impose less restrictive
Zeros of random orthogonal polynomials on the unit circle
 Ph.D. thesis, Caltech
, 2005
"... I would like to express my deepest gratitude to my advisor, Professor Barry Simon, for his help and guidance during my graduate studies at Caltech. During the time I worked under his supervision, Professor Simon provided a highly motivating and challenging scientific environment, which was very bene ..."
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I would like to express my deepest gratitude to my advisor, Professor Barry Simon, for his help and guidance during my graduate studies at Caltech. During the time I worked under his supervision, Professor Simon provided a highly motivating and challenging scientific environment, which was very beneficial for me. I also want to thank a few other mathematicians who had an important influence on
The zeros of random polynomials cluster uniformly near the unit circle
, 2004
"... Given a sequence of random polynomials, we show that, under some very general conditions, the roots tend to cluster near the unit circle, and their angles are uniformly distributed. In particular, we do not assume independence or equidistribution of the coefficients of the polynomial. We apply this ..."
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Cited by 25 (1 self)
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Given a sequence of random polynomials, we show that, under some very general conditions, the roots tend to cluster near the unit circle, and their angles are uniformly distributed. In particular, we do not assume independence or equidistribution of the coefficients of the polynomial. We apply
Quadrature Formula and Zeros of ParaOrthogonal Polynomials on the Unit Circle
 Acta Math. Hungar
"... Introduction Orthonormal polynomials on the unit circle T { C : are defined by n , #m # n (, #)#m (, #) d = # m,n , m,n + def {0, 1, 2, . . . , (1) where is a probability measure on T with infinite support, supp (which is, by definition, the smallest closed set whose ..."
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Cited by 22 (2 self)
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it is readily conspicuous and the corresponding results for the unit circle are just literal paraphrase of those for the real line. However, in some instances the similarity is not that apparent. For example, the zeros of orthogonal polynomials on the line are all real and simple and nicely represent
Results 1  10
of
439