Phase-only filters with improved signal to noise ratio

Abstract

We introduce the notion of optimal phase-only filters (OPOFs) that yield improved signal to noise ratios (SNRs). We illustrate the improvement in SNR resulting from the use of OPOFs with the help of several analytical examples and simulation results.

Advanced Concepts in Distortion-Invariant Phase-Only Filter Design

“…The "training set" of these N images represents the expected distortions in the image. In the first SDF method" 8 , the composite image h(x, y) is assumed to he a linear combination of the N training images, i.e.,…”

“…The POFs originally introduced by Horner and Gianino Vijaya Kumar and Bahri [13] proposed an efficient [8] are given by algorithm for finding R so that the output SNR is maximized. In the examples tested, using an optimal R HPiF(u) = e'• t .…”

“…The set of frequencies for which IH(u, v)l i 0 is known as the Region of Support (ROS). The selection of a proper ROS is critical and Vijaya Kumar and Bahri showed how the ROS can be selected to maximize the SNR for POFs 8 and BPOFs 9 . More recently, Vijaya Kumar et.…”

Binary amplitude phase-only filter with high multiobject discrimination capability

“…[5][6][7][8] The region of support indicates which pixels in the filter have an amplitude value equal to 1 and which pixels have a value equal to 0. The POF associated with the region of support is called a binary amplitude phase-only filter ͑BAPOF͒.…”

Optimal filter approximation by means of a phase-only filter with quantization

“…The frequency response of the OF is given by H(f)oF = X*(f)/(IB(f)1 2 ), complicated background scene. To improve the performance of the POF, Kumar and Bahri 6 introduced the concept of the support region. This means that the transmission of the POF is made equal to zero at some frequencies.…”