2D convolutional codes
Separation set distance for 2D Convolutional Codes
... (1D) convolutional codes to the context of multidimensional (nD) convolutional ...the 2D case and propose a new and more general notion than the one previously introduced in this ...Profile ...
13
On Minimality of ISO Representation of Basic 2D Convolutional Codes
... basic 2D convolutional codes. We have showed that if a basic 2D convolutional code admits a strongly modally reachable ISO representation then this ISO repre- sentation is minimal with ...
15
Input-state-output representations of concatenated 2D convolutional codes
... (2D) convolutional codes. We consider finite-support 2D convolutional codes and choose the so-called Fornasini- Marchesini input-state-output (ISO) model to represent these ...
10
MDS 2D convolutional codes with optimal 1D horizontal projections
... (2D) convolutional codes is a class of codes that generalizes standard one-dimensional (1D) convolutional codes in order to treat two dimensional ...of 2D ...
20
Input-state-output representations and constructions of finite-support 2D convolutional codes
... (mD) convolutional codes are the higher dimensional (nontrivial) generalizations of one-dimensional (1D) convolutional ...These codes may prove useful in transmission of m- dimensional data, ...
13
Decoding of 2D convolutional codes over an erasure channel
... decoding 2D convolutional codes over an erasure ...convolutional codes. The main idea is to reduce the decoding problem of 2D convolutional codes to a problem of ...
15
Series concatenation of 2D convolutional codes by means of input-state-output representations
... 1D convolutional codes, little research has been done in the area of 2D convolutional codes and much more needs to be done to make it attractive for real life ...applications. ...
18
Realization of 2D convolutional codes of rate 1/n by separable Roesser models
... 1D convolutional codes are ...(2D) convolutional codes are a generalization of one-dimensional (1D) convolutional ...(multidimensional convolutional codes) by ...
12
Burst Erasure Correction of 2D convolutional codes
... (2D) convolutional codes [4–7, 11] the information is distributed in two dimensions and therefore there is not an obvious way to extend the idea of sliding window to the 2D ...decoding ...
8
Maximum distance separable 2D convolutional codes
... for 2D convolutional ...of 2D convolutional codes (Section ...the 2D case of the generalized Singleton bound for 1D convolutional ...generalized 2D Singleton bound ...
23
From 1D convolutional codes to 2D convolutional codes of rate 1/n
... (2D) convolutional codes with finite support. These codes are of rate 1/n and degree δ with n ≥ δ + 1 and achieve the maximum possible distance among all 2D convolutional ...
9
Minimal state-space realizations of 2D convolutional codes
... for 2D processes [1, 7, 35], we have opted to consider here separable Roesser models, due to the simplicity of their updating ...all 2D-causal transfer-functions, but only those which have a separable ...
113
Minimal realizations of a special class of 2D codes
... of 2D convolutional codes and their ...and 2D cases. In section III, the particular class of 2D composition encoders to be considered is presented together with the corresponding ...a ...
7
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes
... of 2D convolutional codes (com- position codes) with encoders G(d 1 ,d 2 ) that can be decomposed as the product of two 1D encoders, ...of 2D state-space real- ization by means of a ...
8
COMPOSITION CODES
... 1D convolutional codes to the study of composition ...composition codes can be exploited to construct 2D convolutional codes with good distance properties based on 1D ...for ...
15
Fountain Codes: LT And Raptor Codes Implementation
... Based on the analogy with fountains, fountain codes resemble a fountain of water. The transmitter generates unlimited encoded packets fro m the source data and sends them out to receiver or mu ltip le rece ivers ...
6
Deblurring, Localization and Geometry Correction of 2D QR Bar Codes Using Richardson Lucy Method
... QR Codes can carry up to several hundred times the amount of information carried by 1dimensional bar ...QR Codes, otherwise known as “quick response codes” are part of a whole new way of connecting ...
6
On duals and parity-checks of convolutional codes over Z p r
... on convolutional codes over a finite ring, we consider an approach in which code sequences are semi-infinite Laurent series, ...i.e., convolutional codes constituted by left compact sequences ...
18
A new class of superregular matrices and MDP convolutional codes
... A convolutional code C is called maximum distance profile (MDP) if its column distances achieve the maximum possible values (for a given choice of parameters), ...MDP codes we need to introduce the notion ...
14
Adaptive Codes for Physical-Layer Security
... Spherical Codes, introduced in [48] for discrete ...designing codes guaranteeing, with high probability, that the eaves- droppers error vector will be above the noise threshold defined by the anomalous ...
158