Non-Iterative Exact Signal Recovery in Frequency Domain Optical Coherence Tomography

Abstract

We address the problem of exact signal recovery in frequency domain optical coherence tomography (FDOCT) systems. Our technique relies on the fact that, in a spectral interferometry setup, the intensity of the total signal reflected from the object is smaller than that of the reference arm. We develop a novel algorithm to compute the reflected signal amplitude from the interferometric measurements. Our technique is non-iterative, non-linear and it leads to an exact solution in the absence of noise. The reconstructed signal is free from artifacts such as the autocorrelation noise that is normally encountered in the conventional inverse Fourier transform techniques. We present results on synthesized data where we have a benchmark for comparing the performance of the technique. We also report results on experimental FDOCT measurements of the retina of the human eye.

Blind Deconvolution of Sparse Pulse Sequences Under a Minimum Distance Constraint: A Partially Collapsed Gibbs Sampler Method

“…This makes it potentially interesting for many signal processing applications including signal segmentation [49], optical coherence tomography [50], electromyography [10], [11], and electrocardiography [13], [51]. Furthermore, the minimum distance constraint itself can be generalized to a wider class of "local deterministic constraints," which can be exploited in an analogous way [36].…”

Performance analysis of the cepstral technique for frequency-domain optical-coherence tomography

“…We addressed the noise performance of a new cepstral reconstruction algorithm for frequency-domain optical-coherence tomography [7]. We also compared the noise-sensitivity with respect to the conventional Fourier technique.…”

“…The objective is to recover a(z) from I(ω). In [7], we proposed a new technique to accomplish this task. It is summarized as follows: Given the measurements I(ω) and S(ω), we compute the cepstrum c(z) = F −1 {log (I/S)} (z), where F denotes the Fourier transform operator.…”

“…Schematic of the Fourier-domain optical-coherence tomography system. [7], we proposed a new algorithm to suppress the remaining autocorrelation artifacts. In this paper, we analyze its noise sensitivity, derive expressions for the bias and variance and also corroborate the analytical predictions with Monte-Carlo analysis.…”

Theoretical analysis of complex-conjugate-ambiguity suppression in frequency-domain optical-coherence tomography

“…Consider FDOCT in a Michelson interferometric configuration (see [9] for a schematic of the setup). The measured signal is the light reflected from the object, and is coherently amplified by the reference-arm signal.…”