Two-dimensional linear prediction and spectral estimation on a polar raster

نویسندگان

  • Wen-Hsien Fang
  • Andrew E. Yagle
چکیده

A zero-mean homogeneous random field is defined on a discrete polar raster. Given sample values inside a disk of finite radius, we wish to estimate the field’s power spectral density using linear prediction. Issues arising here include estimation of covariance lags and extendibility of a finite set of lag estimates into a positive semidefinite covariance extension (required for a meaningful spectral density). We give a generalized autocorrelation procedure that guarantees positive semidefinite covariance estimates. It first interpolates the data using Gaussians, computes its Radon transform, and applies familiar 1-D techniques to each slice. Some numerical examples are provided to justify the validity of the proposed procedure. We also propose a correlationmatching covariance extension procedure that uses the Radon transform to extend a given set of covariance lags to the entire plane, when this is possible, and discuss circumstances for which this is impossible.

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

Discrete fast algorithms for two-dimensional linear prediction on a polar raster

New generalized split Levinson and Schur algorithms for the two-dimensional linear least squares prediction problem on a polar raster are derived. The algorithms compute the prediction filter for estimating a random field at the edge of a disk, from noisy observations inside the disk. The covariance function of the random field is assumed to have a Toeplitzplus-Hankel structure for both its rad...

متن کامل

Hyperspectral Image Classification Based on the Fusion of the Features Generated by Sparse Representation Methods, Linear and Non-linear Transformations

The ability of recording the high resolution spectral signature of earth surface would be the most important feature of hyperspectral sensors. On the other hand, classification of hyperspectral imagery is known as one of the methods to extracting information from these remote sensing data sources. Despite the high potential of hyperspectral images in the information content point of view, there...

متن کامل

SPOT-5 Spectral and Textural Data Fusion for Forest Mean Age and Height Estimation

Precise estimation of the forest structural parameters supports decision makers for sustainable management of the forests. Moreover, timber volume estimation and consequently the economic value of a forest can be derived based on the structural parameter quantization. Mean age and height of the trees are two important parameters for estimating the productivity of the plantations. This research ...

متن کامل

Two-Dimetional Hydraulic Simulation of Floods using the LISFLOOD-FP Raster Model (A Case Study: The Shemshak Watershed, Tehran Province)

    LISFLOOD-FP belongs to a new generation of hydrodynamic models of flood simulation, which is implemented by a digital elevation map for the river and the waterways, route information and flow rates The LISFLOOD-FP features are two-dimensional hydraulic models: 1. based on raster 2. large scale 3. ease of formulation and high computational efficiency 4. simplicity of use 5. spatial adjustmen...

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:
  • IEEE Trans. Signal Processing

دوره 42  شماره 

صفحات  -

تاریخ انتشار 1994