Autocorrelation-invariant discrete-time functions and associated orthogonal sequences

نویسندگان

  • Pascale Bréhonnet
  • Noël Tanguy
  • Pierre Vilbé
  • Léon-Claude Calvez
چکیده

The paper studies frequency domain characterization and properties of autocorrelation discrete time functions. Such functions may be useful in the design and synthesis of signaling waveforms with prescribed autocorrelation functions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Analytic Constructions of Periodic and Non-periodic Complementary Sequences

An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symme...

متن کامل

Invariant functions for solving multiplicative discrete and continuous ordinary differential equations

In this paper, at first the elemantary and basic concepts of multiplicative discrete and continous differentian and integration introduced. Then for these kinds of differentiation invariant functions the general solution of discrete and continous multiplicative differential equations will be given. Finaly a vast class of difference equations with variable coefficients and nonlinear difference e...

متن کامل

Smoothness estimates for soft - threshold denoising via translationinvariant wavelet transforms

In this paper we study a generalization of the Donoho-Johnstone denoising model for the case of the translation invariant wavelet transform. Instead of soft-thresholding coeecients of the classical orthogonal discrete wavelet transform, we study soft-thresholding of the co-eecients of the translation invariant discrete wavelet transform. This latter transform is not an orthogonal transformation...

متن کامل

Discrete-Time Wavelets: Time-Frequency Localization, Shift-Invariance, Modeling Of Linear Time-Invariant Systems

14 It is shown further how the discrete wavelet transform can be shift invariant in the sense that the coecients of the transform at a scale for a shifted sequence can be computed from the coecients at the same scale from the original sequence. We derived conditions for the analyzing lters in order to obtain that kind of shift invariance. The transfer functions of the lters must not overlap wit...

متن کامل

Shift Invariant Spaces and Shift Preserving Operators on Locally Compact Abelian Groups

We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range funct...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Signal Processing

دوره 88  شماره 

صفحات  -

تاریخ انتشار 2008