Deep convolutional neural networks (CNNs) are the deep learning model of choice for performing object detection, classification, semantic segmentation and natural language processing tasks. CNNs require billions of operations to process a frame. This computational complexity, combined with the inherent parallelism of the convolution operation make CNNs an excellent target for custom accelerator...

We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with respect to the class of totally positive functions whose Fourier transform factors as ĝ(ξ) = ∏n j=1(1 + 2πiδjξ) −1 e 2 for δ1, . . . , δn ∈ R, c > 0 (in which case g is called totally positive of Gaussian type). In analogy to Beurling’s sampling theorem for the Paley-Wiener space of entire functions...

Let g ∈ L2(R) be a compactly supported function, whose integertranslates {Tkg}k∈Z form a partition of unity. We prove that for certain translationand modulation parameters, such a function g generates a Gabor frame, with a (non-canonical) dual generated by a finite linear combination h of the functions {Tkg}k∈Z; the coefficients in the linear combination are given explicitly. Thus, h has compac...

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

in this study, for evaluating ductility of ordinary concentrically braced frames (ocbfs) and special concentrically braced frames (scbfs) which are x- braced in two adjacent middle spans, 16 steel ordinary concentrically braced frames and 16 special concentrically braced frames are studied. the results confirm that, although most of ordinary concentrically braced frames, which are x-braced, can...

This paper develops several aspects of shift-invariant spaces on locally compact abelian groups. For a second countable locally compact abelian group G we prove a useful Hilbert space isomorphism, introduce range functions and give a characterization of shift-invariant subspaces of L 2 (G) in terms of range functions. Utilizing these functions, we generalize characterizations of frames and Ries...

In this paper introduce a novel technique to identify the voice (active frames) and silent regions (inactive frames) of a speech stream very much suitable for VoIP calls. Thus here the proposed a better voice activity detection based on the entropy algorithm. High-capacity steganography algorithm for embedding data in the inactive frames . Then inactive frames are encoded by G. 723. 1 source co...

The quantum mechanical harmonic oscillator Hamiltonian H = (t − ∂ t )/2 generates a one–parameter unitary group W (θ) = e in L(R) which rotates the time–frequency plane. In particular, W (π/2) is the Fourier transform. When W (θ) is applied to any frame of Gabor wavelets, the result is another such frame with identical frame bounds. Thus each Gabor frame gives rise to a one–parameter family of ...

We study nonuniform sampling in shift-invariant spaces and the construction of Gabor frames with respect to the class of totally positive functions whose Fourier transform factors as ĝ(ξ) = ∏n j=1(1 + 2πiδjξ) −1 e 2 for δ1, . . . , δn ∈ R, c > 0 (in which case g is called totally positive of Gaussian type). In analogy to Beurling’s sampling theorem for the Paley-Wiener space of entire functions...