フーリエ変換とその周辺の理解を深めるためにRでシミュレーションをおこなった。まず$${f(x)}$$という関数のフーリエ級数展開を数式で書くと、 $${f(x) = \frac{a_0}{2} + \sum_{k=1}^\infty (a_k cos(k \theta x) + b_k cos(k \theta x)) (k\in\mathbb{N}, \theta\in\mathbb{R}^{+ ...
Abstract: This study introduces a short-time Fourier transform–based method for reconstructing signals encoded using modulo analog-to-digital converters with folding information. In contrast to ...
This article presents loop stability analysis in analog and digital feedback systems. It presents finding the analog loop stability experimentally and by using Laplace transform, as well as finding ...
すでに行った,離散フーリエ級数,DFSとほぼ同じです. 信号の周期性の仮定をしていましたが,サンプリングされた信号では, 1周期分のサンプリングとみなせば,有限長データも同じです. 復習:フーリエ変換対 信号 $${x(t)}$$ の周期性に関して,無限長 ...
Abstract: A prototype FFT processor IC that reduces linearity requirements of Analog-to-Digital Converters in broadband Orthogonal-Frequency-Division-Multiplexing (OFDM) receivers is presented. The ...
With the exponential growth in demand for high-speed data transmission, the 5G system infrastructure, despite its impressive peak data rate of 10 gigabits per second, is increasingly inadequate for ...