92 problems

Extension conjecture. The analytical results can be extended to the case of correlated channels.

Training-based error-probability equivalence conjecture. For the system with $B$ input-output training pairs $(X_B,Y_B)$,

Let the uplink and downlink channel matrices be random variables in a frequency-division duplexing system, and distinguish their channel distributions from their instantaneous real…

In a multi-antenna transmission system with non-linear hardware, let the hardware distortion denote the distortion introduced by the transceiver hardware when transmitting multiple…

In a multiple-antenna fading channel without transmitter channel-state information, consider outage capacity rather than ergodic capacity, and allocate the available transmit power…

Let $R_{g,\Lambda}$ denote the matrix associated with the Gaussian $g$ and a lattice $\Lambda$, and let ${x_1}(\Lambda)$ denote the lattice parameter used in the source. Minimal co…

FAB95's optimality conjecture. This value is optimal among all pulse shapes that create an OFDM system with spectral efficiency $1/2$. The claim concerns the best possible time-fre…

Asymptotic decorrelation conjecture. The limiting correlation coefficient is

The system consists of reconfigurable intelligent surfaces (RISs) serving multiple operators, with the RIS phases constrained by the non-serving operators. The serving operator's r…

Consider a wireless signal-propagation model with randomly positioned signal sources and reflections from walls, and suppose the model has sufficient randomness and regular walls.…

Let the channel matrices be arbitrary norm-bounded and spectrally convergent matrices, and consider the results established in the paper for the stated class of channel matrices. U…

In the UMa NLoS scenario at a carrier frequency of $6.5$ GHz, Algorithm II exhibits a minor performance degradation compared with the ideal quasi-static prior benchmark. Representa…

Street-environment conjecture. The larger delay spread in the convoy scenario is conjectured not to result from the convoy driving style, but rather from the different type of stre…

Open-circuit voltage measurement conjecture. As an alternative to current practice, it would be beneficial merely to measure the open-circuit voltages on the antenna ports.

Let NAFD CF-mMIMO denote non-orthogonal access full-duplex cell-free massive MIMO, and let IBFD CF-mMIMO denote in-band full-duplex cell-free massive MIMO. Their energy efficiencie…

Let $\eta$ be the hyperparameter in the surrogate noise covariance … where $\sigma^2$ is the noise variance and $\bm{A}(\bm{\theta}_G)$ is the array manifold evaluated at the known…

Overly pessimistic bound conjecture. We conjecture that requiring $n$ to be of order $k^{4}$ is overly pessimistic, since the stated injectivity criterion for the map $\Psi$ does n…

Let Algorithm be the channel-selection algorithm, and let a passive ARIS be a reconfigurable surface used to compensate for the direct channel. Passive ARIS compensation conjecture…

Let AI-Src-Enc and AI-Src-Dec denote the source encoder and source decoder, respectively; in particular, they may be implemented using a language model and a VQ-VAE. Consider a pre…

Generalized WAX decomposition validity conjecture. A randomly chosen matrix ${\boldsymbol{H}}$ admits WAX decomposition with probability $1$ for the given ${\boldsymbol{A}}$ if

Let $c_{\mathcal{A}}(s,n)$ denote the relevant coefficient for symbol $s\in\mathcal{S}$ and index $n$. For a fixed $n$, compare the values $c_{\mathcal{A}}(s,n)$ as $s$ ranges over…

Let massive multiple-input multiple-output (MIMO) systems operate in frequency-division duplexing (FDD) mode, with uplink (UL) and downlink (DL) channels at different frequencies.…

Let $\textbf{P. 13}$ denote the optimization problem based on the distribution of $\bm{F}^{\rm{H}}\bm{\widehat H}^{\rm{H}}\bm{R}_{\bm{v}}^{-1}\bm{\widehat H}\bm{F}$, let…

In 5G NR PUCCH Format 0 transmissions containing one HARQ bit and a scheduling request, let $m_{0}$ denote the initial cyclic shift applied to the base sequence, and let a neural n…

In a finite-blocklength secure communication system, let the degrees-of-freedom margin be small compared to the number of legitimate users. The sum-rate tradeoff conjecture. Focusi…