Estimation of phase derivatives using discrete chirp-Fourier-transform-based method.

نویسندگان

  • Sai Siva Gorthi
  • Pramod Rastogi
چکیده

Estimation of phase derivatives is an important task in many interferometric measurements in optical metrology. This Letter introduces a method based on discrete chirp-Fourier transform for accurate and direct estimation of phase derivatives, even in the presence of noise. The method is introduced in the context of the analysis of reconstructed interference fields in digital holographic interferometry. We present simulation and experimental results demonstrating the utility of the proposed method.

برای دانلود رایگان 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

Multicomponent Subspace Chirp Parameter Estimation Using Discrete Fractional Fourier Analysis

The Discrete Fractional Fourier Transform is a useful tool for multicomponent chirp parameter estimation, however much of the current work ignores the presense of noise. In recent work, a projection-subspace approach to DFrFTbased multicomponent chirp parameter estimation was proposed, to exploit the robustness of subspace decomposition methods. This paper refines the prior projection-subspace ...

متن کامل

Improved Estimation of Evolutionary Spectrum based on Short Time Fourier Transforms and Modified Magnitude Group Delay by Signal Decomposition

A new estimator for evolutionary spectrum (ES) based on short time Fourier transform (STFT) and modified group delay function (MGDF) by signal decomposition (SD) is proposed. The STFT due to its built-in averaging, suppresses the cross terms and the MGDF preserves the frequency resolution of the rectangular window with the reduction in the Gibbs ripple. The present work overcomes the magnitude ...

متن کامل

Performance Improvement on Local Polynomial Periodogram

With the Lv’s distribution (LVD), the chirp rates of linear frequency modulated (LFM) signals can be more accurately estimated for the local polynomial periodogram (LPP). Comparing to the estimation methods based on the polynomial Fourier transform (PFT) and fractional Fourier transform (FrFT), it is shown that LPP with the chirp rate estimated by LV’s distributioneffectively obtains better per...

متن کامل

Estimation of FM signal parameters in impulse noise environments

A simple algorithm based on discrete chirp Fourier transform (DCFT) is used for the chirp signal parameters estimation in impulse noise environments. A modification of the DCFT is introduced in order to produce accurate estimates in this case. This modification, called the robust DCFT, produces highly accurate results in impulse noise environments, while for the Gaussian noise it is only slight...

متن کامل

A general construction of Reed-Solomon codes based on generalized discrete Fourier transform

In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes  enjoy nice algebraic properties just as the classic one.

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

عنوان ژورنال:
  • Optics letters

دوره 34 16  شماره 

صفحات  -

تاریخ انتشار 2009