7 problems

Let the box-constrained LASSO detector for spatial modulation with single-symbol transmission use regularization function…

Let $R$ be the signal matrix, and let $r_0$ denote the number of non-degenerate spikes under consideration. In the degenerate case, suppose that the $(r_0+1)$-th and $(r_0+2)$-th s…

The paper considers a coherent type-1 feedforward loop (C1-FFL) whose output is matched to an intermediate approximation of the log-likelihood ratio for detecting persistent signal…

Distinguishability conjecture. Similar results on the distinguishability of the null and alternative hypotheses by means of the test statistics $T_n^+(q,I)$, with…

Large-system consistency conjecture. In this joint limit, $\widehat{k}$ is a consistent estimator of $k_{\mathrm{eff}}(c\mid {\bf R})$.

Classical consistency conjecture. With $n$ fixed and $m\to\infty$, $\widehat{k}$ is a consistent estimator of the true number of signals $k$.

Let $k_{eff}$ denote the effective rank of the signal covariance structure, and let the new estimator be applied when the dimension $n$ and the sample size $m$ tend to infinity wit…