Advisors
Now showing items 1-12 of 12
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The discrete fractional Fourier transform
(Bilkent University, 1998)In this work, the discrete counterpart of the continuous Fractional Fourier Transform (FrFT) is proposed, discussed and consolidated. The discrete transform generalizes the Discrete Fourier Transform (DFT) to arbitrary ... -
The effect of distribution of information on recovery of propagating signals
(Bilkent University, 2015-09)Interpolation is one of the fundamental concepts in signal processing. The analysis of the di fficulty of interpolation of propagating waves is the subject of this thesis. It is known that the information contained in a ... -
Feature extraction with the fractional Fourier transform
(Bilkent University, 1998)In this work, alternative design and implementation techniques for feature extraction applications are proposed. The proposed techniques amount to decomposing the overall feature extraction problem into a global linear ... -
Finite representation of finite energy signals
(Bilkent University, 2011)In this thesis, we study how to encode finite energy signals by finitely many bits. Since such an encoding is bound to be lossy, there is an inevitable reconstruction error in the recovery of the original signal. We also ... -
Generalized filtering configurations with applications in digital and optical signal and image processing
(Bilkent University, 1999)In this thesis, we first give a brief summary of the fractional Fourier transform which is the generalization of the ordinary Fourier transform, discuss its importance in optical and digital signal processing and its ... -
Harmonic analysis in finite phase space
(Bilkent University, 2005)The Wigner distribution and linear canonical transforms are important tools for optics, signal processing, quantum mechanics, and mathematics. In this thesis, we study the discrete versions of Wigner distributions and ... -
Image processing with the fractional Fourier transform: synthesis, compression and perspective projections
(Bilkent University, 2000)In this work, first we give a summary of the fractional Fourier transform including its definition, important properties, generalization to two-dimensions and its discrete counterpart. After that, we repeat the concept ... -
Repeated filtering in consecutive fractional Fourier domains
(Bilkent University, 1997)In the first part of this thesis, relationships between the fractional Fourier transformation and Fourier optical systems are analyzed to further elucidate the importance of this transformation in optics. Then in the ... -
Signal processing based solutions for holographic displays that use binary spatial light modulators
(Bilkent University, 2012)Holography is a promising method to realize satisfactory quality threedimensional (3D) video displays. Spatial light modulators (SLM) are used in holographic video displays. Usually SLMs with higher dynamic ranges are ... -
Signal representation and recovery under measurement constraints
(Bilkent University, 2012)We are concerned with a family of signal representation and recovery problems under various measurement restrictions. We focus on finding performance bounds for these problems where the aim is to reconstruct a signal ... -
Signal representation and recovery under partial information, redundancy, and generalized finite extent constraints
(Bilkent University, 2009)We study a number of fundamental issues and problems associated with linear canonical transforms (LCTs) and fractional Fourier transforms (FRTs). First, we study signal representation under generalized finite extent ... -
Structural and metrical information in linear systems
(Bilkent University, 2006)We present a systematic approach to understand the information-theoretic re- lationships in linear systems. Our main aim is to understand what kind of information the output of a linear system carries about the input of ...
