摘要: In the following, we simulate the sample theory on an anolog signal: $y=0.5 \sin(2\pi f_1 t)+2\sin(2\pi f_2 t)$, whose frequece is $f_1=15$ and $f_2=4 阅读全文
posted @ 2018-05-24 12:54 mathlife 阅读(748) 评论(0) 推荐(0) 编辑
摘要: Generating a continuous signal and sampling it at a given rate is demonstrated here. In simulations, we may require to generate a continuous time sign 阅读全文
posted @ 2018-05-24 11:12 mathlife 阅读(391) 评论(0) 推荐(0) 编辑
摘要: 1. Classic form of nonlinear programming F1: $f,h,g$ are arbitrary (not necessarily diferentiable or continuous) functions. F2: F3: $$\begin{align } \ 阅读全文
posted @ 2018-05-19 15:56 mathlife 阅读(249) 评论(0) 推荐(0) 编辑
摘要: Given any signal $x\in R^n$, we can obtain sparse representation $\theta\in R^n$ of $x$ in two ways: 1. Basis expansion: given sparse inducing othonor 阅读全文
posted @ 2018-05-19 14:22 mathlife 阅读(158) 评论(0) 推荐(0) 编辑
摘要: This is adapted from tuorial notes by Wusheng Lu, 2010. Now let us consider a discrete signal $x\in R^n$ which itself may or may not be sparse in the 阅读全文
posted @ 2018-05-18 23:23 mathlife 阅读(264) 评论(0) 推荐(0) 编辑
摘要: Given $N$ data samples in $n$ dimensional space, i.e., $Y \in R^{n\times N}$, the task is to compute the dictionary $D\in R^{n\times K}$ and sparse co 阅读全文
posted @ 2018-05-18 23:13 mathlife 阅读(364) 评论(0) 推荐(0) 编辑