We present an arithmetic circuit performing constant modular addition having $O(n)$ depth of Toffoli gates and using a total $n+3$ qubits. This is improvement by factor two compared to the width state-of-the-art Toffoli-based adder. The advantage our adder, ones operating in Fourier basis, that it does not require small-angle rotations their $\text{Clifford}+T$ decomposition. Our uses recursive...

The bit-reversed permutation is a famous task in signal processing and is key to efficient implementation of the fast Fourier transform. This paper presents optimized C++11 implementations of five extant methods for computing the bit-reversed permutation: Stockham auto-sort, naive bitwise swapping, swapping via a table of reversed bytes, local pairwise swapping of bits, and swapping via a cache...

In this paper we describe a system that suppresses the acoustic interference due to the coupling between the microphone and the loudspeakers of a hands-free multi-channel desktop audio system. The proposed system operates in the Short-Time Fourier Transform domain and uses spectral subtraction to suppress the unwanted interference, which consists of the local audio and the remote speech signal ...

SVD-based method for band limitation. In doing so, we redefined finite-extent band limitation. Our method was chosen to have the correct dimension specified by Slepian's result [ 11, to specialize correctly to the DTFT as the sample size tends to infinity, and to have maximum energy concentration. We presented an efficient method, based on the Lanczos algorithm, for performing the proposed band...

An algorithm was developed detect the partial demagnetization of permanent-magnet synchronous motors (PMSMs) under both stationary and nonstationary conditions. On basis recursive least-squares (RLS) method, vital component fault-related harmonics in current could be extracted on line, its proportion to fundamental regarded as indicator faults. The proposed is fairly easy realize substitute con...

The transient heating of a spherical droplet at rest in hot gas environment, is analysed when the temperature distribution initially assumed to be non uniform inside droplet. A combined method integral transforms, namely classical Fourier cosine transform together with unilateral Laplace transform, used solving resulting initial-boundary value problem, stated dimensionless form. Explicit soluti...

Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the $p$-th factorial moments of the random variable $S_{n,1}$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial...

A mathematical model for an outer soil, multi-defects pipe pile, and inner soil dynamic interaction system is established to research the influences of on vibration a pile. The impedance pile deduced by applying Laplace transformation method recursive technique. Then, velocity response at head further obtained using inverse Fourier transform method. Moreover, parametric analyses are conducted t...

background: precise diagnosis of disease risk factors via efficient statistical models is the primary step for reducing the heavy costs of breast cancer, as one of the most highly prevalent cancer throughout the world. therefore, the aim of this study was to present a recently introduced statistical model in order to assess its proficiency for model fitting. methods: the information of 1465 eli...