Holographic correlators can implement many correlations in parallel. For most systems shift invariance limits the number of correlation templates that can be stored in one correlator. This is because the output plane must be divided among the individual templates in the system. When the system is completely shift invariant, the correlation peak from one correlator can shift into an area that ha...

We propose and demonstrate an on-chip optical correlator, in which two types of photonic crystal slow-light waveguides are integrated and operated as an optical delay scanner and a two-photon-absorption photodetector. The footprint of the device, which was fabricated using a CMOS-compatible process, was 1.0 × 0.3 mm(2), which is substantially smaller than that of conventional optical correlator...

The mixed-isospin vector current correlator, h0jT(V V !)j0i is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modiication of previous analyses necessitated by the observation that those analyses produce forms of the correlator that fail to be dominated, near q 2 = 0, by the most nearby singularities. Inclusion of contribut...

This talk presents results of our study of heavy-to-light transition form factors extracted with the help of light-cone sum rules. We employ a model with scalar particles interacting via massless-boson exchange and study the heavy-to-light correlator, relevant for the extraction of the transition form factor. We calculate this correlator in two different ways: by making use of the Bethe–Salpete...

The isospin-breaking correlator of the product of flavor octet vector currents, Π38 μν(q 2) = i ∫ d4x exp(iq.x) < 0|T (V 3 μ (x)V 8 ν (0))|0 >, is computed to next-tonext-to-leading (two-loop) order in Chiral Perturbation Theory. Large corrections to both the magnitude and q2-dependence of the one-loop result are found, and the reasons for the slow convergence of the chiral series for the corre...

John T. Shen, MEMBER SPIE Northwestern University Department of Electrical and Computer Engineering Evanston, Illinois 60208 Abstract. For practical pattern recognition and tracking systems, it is often useful to have a high-speed random access memory (RAM) that complements a holographic correlator. Recently, we have demonstrated a super-parallel holographic correlator, which uniquely identifie...

We calculate wide distance connected correlators in non-gaussian orthogonal , unitary and symplectic random matrix ensembles by solving the loop equation in the 1/N-expansion. The multi-level correlator is shown to be universal in large N limit. We show the algorithm to obtain the connected correlator to an arbitrary order in the 1/N-expansion.

David Garrett and Mircea Stan [email protected], [email protected] University of Virginia, Department of Electrical Engineering AbstractDirect Sequence Spread Spectrum (DSSS) transmissions require a despreading stage within the standard receiver block to recover the spread spectrum signal. For long spread spectrum codes, the correlation block can be a large portion of the receiver size, he...

4 A 4 1 0 ~ 0 . 8 = 8 ~ ~ .id 1 1.6 + 2 x 3.2 = 8 p Abstract Timing synchronization for IEEE 802.1 l a KLANs requires using a correlator to correlate the received signal with a known waveform. Straightforward implementation of this correlator results in the need to perform 320 million complex multiplications per second. This signijicant requirement can be eliminated by using multiplierless corr...