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Face recognition has become an active research area which has attracted many researchers' attention. In this paper, a new method is proposed, and it selects features in the fractional Fourier domain for face recognition. This new method selects the transform orders by computing the trace ratio of each transform order, then merges three orders' amplitude information of two dimensional discrete fractional...
In face recognition, there are great challenges with variations arising from illumination, expression and other factors. Since the fractional Fourier transform feature is robust to illumination and expression variations and has been used in face recognition area, we propose a novel algorithm to face recognition with the local region histogram of the two dimensional fractional Fourier transform (2D-FrFT)...
In this paper, the property of spatial shift operation on image reconstruction from amplitude and phase information in two-dimensional Fractional Fourier Transform (2D-FRFT) is studied through mathematical analysis and computer simulations. From the analysis presented in this paper, the phase information is spatial shift-invariant for image reconstruction in the 2D-FRFT domain while the amplitude...
In many ways about solving the large workload estimation of LFM signal in the FrF Domain, the 2D peak searching algorithm is much more complex. This paper presents an FrFT modulus detector via MLS curve-fitting optimization technique, which can simplify the 2D peak searching to a problem of 1D curve fitting. And for multi-component signals, we further introduce a Gaussian mixture model (GMM) to approximate...
Computer recognition of human emotional states is an important component for efficient human-computer interaction. In this paper we explore an approach for recognition of human emotion from the visual information. We perform feature selection by using the two dimensions fractional Fourier transform. As a generalization of Fourier transform, the two dimensions fractional Fourier transform (2D-FrFT)...
Transmission over wireless channels will introduce intersymbol interference (ISI) as well as interchannel (or intercarrier) interference (ICI). To decrease the effects of ICI, this paper proposes a multi-tap equalizer for the OFDM system based on the fractional Fourier transform (FrFT). In this FrFT-OFDM system, traditional Fourier transform is replaced by fractional Fourier transform to modulate...
A novel method of the computation of the discrete fractional cosine transform (DFRCT) based on adaptive Least Mean Square (LMS) algorithm is proposed. The weight vectors are adjusted or adapted in accord with the least mean square error between the ldquodesired responserdquo and the reconstructed signal. It can be proved that the weight vector is in relation to the previous N-point DFRCT by choosing...
Multi-band orthogonal frequency division multiplexing (MB-OFDM) is being considered as a promising candidate for UWB systems due to its higher spectral efficiencies and better system performance. The classical Fourier transform scheme may fail when the channel is doubly selective. Chirp-like basis (fractional Fourier transform based) can be used instead of exponential functions to combat this problem...
Referring to the coherent wideband linear frequency modulation (LFM) signals, direction of arrival (DOA) estimation based on fractional Fourier transform (FRFT) is proposed. In this method, the observed signals are first transformed to fractional Fourier (FRF) domain, using the superior time-frequency localization, time-variant direction matrix is changed into time-invariant one. By dint of the forward/backward...
In allusion to non-stationary wideband LFM signals, an algorithm of direction-of-arrival (DOA) estimation based on fractional Fourier transform (FRFT) is proposed. In this method, the observed signals are first transformed to fractional Fourier (FRF) domain, and by the unique concentration signature of signal, the FRF domain steering vector is defined, then, in the corresponding FRF domain, the two-dimension...
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