Abstract

In this paper we review the theoretical and practical principles of the broadcast approach to communication over state-dependent channels and networks in which the transmitters have access to only the probabilistic description of the time-varying states while remaining oblivious to their instantaneous realizations. When the temporal variations are frequent enough, an effective long-term strategy is adapting the transmission strategies to the system’s ergodic behavior. However, when the variations are infrequent, their temporal average can deviate significantly from the channel’s ergodic mode, rendering a lack of instantaneous performance guarantees. To circumvent a lack of short-term guarantees, the broadcast approach provides principles for designing transmission schemes that benefit from both short- and long-term performance guarantees. This paper provides an overview of how to apply the broadcast approach to various channels and network models under various operational constraints.

Highlights

  • Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations

  • Since the broadcast approach’s foundations hinge on those of the broadcast channel, we provide a brief overview of the pertinent literature on the broadcast channel, which was first explored by Cover [24,40]

  • The work in [84] considers the problem of transmission with delay-constrained (DC) and non-delay-constrained (NDC) streams are transmitted over an single-input single-output (SISO) channel, with no CSI at the transmitter sites (CSIT) adhering to the broadcast approach for the DC stream

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Summary

Degradedness and Superposition Coding

The broadcast approach ensures a minimum level of successful communication, even when the channels are in their weakest states. In this approach, any channel realization is viewed as a broadcast receiver, rendering an equivalent network consisting of several receivers. Each receiver is designated to a specific channel realization, and it is degraded with respect to a subset of other channels. Designing a broadcast approach for a channel model has the following two pivotal elements

Degradedness in channel realizations
Degradedness in message sets
Application to Multimedia Communication
Variable-to-Fixed Channel Coding
Broadcast Approach in Wireless Channels
Relevance to the Broadcast Channel
The SISO Broadcast Approach—Preliminaries
The MIMO Broadcast Approach
Weak Supermajorization
Relation to Capacity
The MIMO Broadcast Approach Derivation
Degraded Message Sets
On Queuing and Multilayer Coding
Queue Model—Zero-Padding Queue
Delay Bounds for a Finite Level Code Layering
Delay Bounds for Continuum Broadcasting
Delay Constraints
Mixed Delay Constraints
Broadcasting with Mixed Delay Constraints
Parallel MIMO Two-State Fading Channel
Capacity of Degraded Gaussian Broadcast Product Channels
Extended Degraded Gaussian Broadcast Product Channels
Broadcast Encoding Scheme
Broadcast Approach via Dirty Paper Coding
Network Model
Discrete Channel Model
Continuous Channel Model
Degradedness and Optimal Rate Spitting
MAC without CSIT—Continuous Channels
MAC without CSIT—Two-State Channels
MAC without CSIT—Multi-State Channels
MAC with Local CSIT—Two-State Channels
3.10. MAC with Local CSIT—Multi-State Channels
Broadcast Approach in the Interference Channel—Preliminaries
Two-User Interference Channel without CSIT
Successive Decoding
Successive Decoding: -State Channel
Average Achievable Rate Region
Sum-Rate Gap Analysis
N-User Interference Channel without CSIT
Two-User Interference Channel with Partial CSIT
Two-User Interference Channel with Partial CSIT—Scenario 1
Two-User Interference Channel with Partial CSIT—Scenario 2
Overview
A Two-Hop Network
Upper Bounds
DF Strategies
Continuous Broadcasting DF Strategies
AF Relaying
AQF Relay and Continuum Broadcasting
Cooperation Techniques of Two Co-Located Users
Lower and Upper Bounds
Naive AF Cooperation
AF with Separate Preprocessing
Multi-Session AF with Separate Preprocessing
Multi-Session Wyner–Ziv CF
Transmit Cooperation Techniques
Continuous Broadcasting
Two Layer SDF—Successive Decoding
Diamond Channel
Decode-and-Forward
Amplify-and-Forward
Multi-Relay Networks
Oblivious Relays
Oblivious Agents
Occasionally Available Relays
Multi-User MAC Broadcasting with Linear Detection
Channel Model
Strongest Users Detection—Overview and Bounds
SIC Broadcast Approach Upper Bound
Broadcast Approach with Iterative SIC
The Broadcast Approach for Source-Channel Coding
SR with Finite Layer Coding
The Continuous SR-Broadcasting
The Information Bottleneck Channel
Uncertainty of Bottleneck Capacity
Transmitters with Energy Harvesting
Optimal Power Allocation Densities
Optimal Power Allocation over Time
Grouping the Constraints
Dominant Constraints
Optimality of Algorithm 1
Outlook
Full Text
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