Nested Lattice Codes for Arbitrary Continuous Sources and Channels

Abstract—In this paper, we show that nested lattice codes achieve the capacity of arbitrary continuous channels with or without non-causal state information ...

In this paper, we show that nested lattice codes achieve the capacity of arbitrary channels with or without non-casual state information at the transmitter.

[PDF] Nested lattice codes for arbitrary continuous sources and ...

It is shown that nested lattice codes achieve the capacity of arbitrary continuous channels with or without non-causal state information at the transmitter ...

Nested Lattice Codes for Arbitrary Continuous Sources and Channels

Request PDF | Nested Lattice Codes for Arbitrary Continuous Sources and Channels | In this paper, we show that nested lattice codes achieve the capacity of ...

Characterization of Nested Lattice Codes Through Quotient Groups ...

Abstract: Interference is in general, an undesirable obstacle to communication in wireless communication networks. Therefore, in order to ...

A Simple Proof for the Existence of “Good” Pairs of Nested Lattices

Similarly, the nested lattice source coding scheme attains the same rate-distortion trade-off ... Such lattices are called good for channel coding ...

New Lattice Codes for Multiple-Descriptions

coding problem with continuous sources. The ... [4] A.G. Sahebi, S.S. Pradhan “Nested Lattice Codes for Arbitrary Continu- ... source-channel erasure codes ...

Lattices from Linear Codes and Fine Quantization - NYU Wireless

This approach leads to lattice-like codes for general sources and channels. ... continuous-valued sources and channels have been studied ... nested linear codes ( ...

A Simpler Proof on the Existence of Good Nested Lattice Codes ...

This paper investigates nested lattice codes generated through Construction A from the ring of integers of an imaginary quadratic field.

NSF Award Search: Award # 1116021 - CIF: Small: A New Coding ...

A. G. Sahebi and S. S. Pradhan "Nested Lattice Codes for Arbitrary Continuous Sources and Channels" Proc. IEEE International Symposium on Information Theory ...

Improving the Performance of Nested Lattice Codes Using ... - arXiv

lattice codes having rate C −δ, where C denotes the capacity of the AWGN channel, and δ is a small positive constant that denotes the gap ...

Lattice Coding and its Applications in Communications

▫ Ideally use nested lattice code. ▫ i.e. ... ▫ this may generate region of lattice of arbitrary shape ... two sources via channel h. A. , h. B.

Lattice Coding for Signals and Networks

Nested linear, lattice ... For joint source-channel coding problems, lattices with a good NSM-NVNR ... In lossy compression, the source is usually continuous in ...

Lattice codes for Gaussian relay channels - Devroye Lab

Devroye, ``List decoding for nested lattices and applications to relay channels ... • Quantize-and-map scheme for arbitrary # of relays and ...

Achieving Channel Capacities with Nested Linear/Lattice Codes

Random nested lattice codes have played an important role in network information theory. However, they are less accessible than conventional random codes ...

Lattices which are good for (almost) everything | Semantic Scholar

Nested lattice codes for arbitrary continuous sources and channels · A. G. SahebiS. Sandeep Pradhan. Computer Science, Mathematics. 2012 IEEE International ...

Oblivious Lattice Codes for Gaussian Relay Channels

For an arbitrary channel ... nested lattice codes to achieve single user channel capacity and CF achievable rate. ... source is using doubly nested lattice code. In ...

Secret key generation from Gaussian sources using lattice-based ...

Fuzzy extractors for continuous signals were proposed in [45, 46]. Our proposed lattice code is also robust to measurement errors, thanks to its channel coding ...

Achieving the Capacities of Channels with Erasures Using Nested ...

How- ever, the achievable rate achieved by specific structured codes (nested linear and nested lattice codes) in communication channel subjected to erasures has ...

Group, Lattice and Polar Codes for Multi-terminal Communications

... arbitrary continuous sources. Lattice codes for continuous sources and channels are the analogue of linear codes ... nested polar codes whose inner code is a good ...