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Spread Unary Coding [article]

Subhash Kak
2014 arXiv   pre-print
We call this spread unary coding where the number of 1s used is the spread of the code. Spread unary coding is associated with saturation of the Hamming distance between code words.  ...  Unary coding is useful but it is redundant in its standard form. Unary coding can also be seen as spatial coding where the value of the number is determined by its place in an array.  ...  Spread Unary Codes First Code: The first spread unary code will replace each 1 in the spatial form with k 1s.  ... 
arXiv:1412.6122v1 fatcat:qmona5ahlzhe3buopm7qlqfvua

Training of CC4 Neural Network with Spread Unary Coding [article]

Pushpa Sree Potluri
2015 arXiv   pre-print
This paper adapts the corner classification algorithm (CC4) to train the neural networks using spread unary inputs.  ...  This is an important problem as spread unary appears to be at the basis of data representation in biological learning.  ...  4 Results of Spiral Pattern classification using Spread Unary coding Figure 5 : 5 No. of misclassified points in unary vs spread unary Table 1 : 1 Standard Unary code for numbers 1 to 10 N Unary code  ... 
arXiv:1509.01126v1 fatcat:4whlnwcv2zbunfefgfhppsckiq

Extended Unary Coding [article]

Subhash Kak
2015 arXiv   pre-print
Extended variants of the recently introduced spread unary coding are described.  ...  These schemes, in which the length of the code word is fixed, allow representation of approximately n^2 numbers for n bits, rather than the n numbers of the standard unary coding.  ...  Introduction Recently a variant of the unary code called the spread unary code (SU code) was introduced [1] .  ... 
arXiv:1502.00894v1 fatcat:5wmxvhq2jzhnrauafbvhd3jsve

Evolutionary Search for Smooth Maps in Motor Control Unit Calibration [chapter]

Jan Poland, Kosmas Knödler, Alexander Mitterer, Thomas Fleischhauer, Frank Zuber-Goos, Andreas Zell
2001 Lecture Notes in Computer Science  
We compare the direct encoding with unary and binary codings, and we try a 2-dimensional encoding. For a simple smoothness criterion, the Memetic Algorithm clearly performs best.  ...  Again, direct encoding performs considerably better than both unary and binary coding.  ...  The direct encoding performs considerably better than both the binary and the unary coding.  ... 
doi:10.1007/3-540-45322-9_7 fatcat:ckfgiw5dlbgzzg5rhx4alq23ue

A Cost-Effective Approach to the Design and Layout of a 14-b Current-Steering DAC Macrocell

J.A. Starzyk, R.P. Mohn, L. Jing
2004 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
and (N 0 B) higher significance bits switching thermometer coded unary current sources [4] .  ...  A 3-b thermometer encoder and a 5-b thermometer encoder are used to encode the 8-b binary vector into thermometer code.  ... 
doi:10.1109/tcsi.2003.821282 fatcat:vhwcaaogifavdp6epjj7vtdxl4

Vbinary: variable length integer coding revisited

Yury Shevchuk, Ailamazyan Program Systems Institute of the Russian Academy of Sciences
2018 Program systems theory and applications  
The coding is considered by means of examples in comparison with existing codings, including Golomb/Rice and Elias codings.  ...  Vbinary coding utilizes unusual n-ary extension technique which makes the coding versatile, usable for both bit-based and byte-based data streams.  ...  Variable length prefix code property is achieved using a spread-out equivalent of unary coding.  ... 
doi:10.25209/2079-3316-2018-9-4-239-252 fatcat:q37lzu4wmra5rcl5pybwvsw6fy

Low-Weight Code Comparison for Electromagnetic Wireless Nanocommunication

Muhammad Agus Zainuddin, Eugen Dedu, Julien Bourgeois
2016 IEEE Internet of Things Journal  
This paper compares various low weight codes found in the literature using metrics specific to nanocommunication. A small variation of such a code is also introduced and included in the comparison.  ...  Electromagnetic communication among nanosensors using Time-Spread On-Off Keying (TS-OOK) modulation in Terahertz band promises very high transmission rates (up to several Terabits per second).  ...  Unary code In alternative unary code, all codewords have weight 1. Most frequent symbols are mapped to codewords of smaller size, starting with 1 bit.  ... 
doi:10.1109/jiot.2015.2472555 fatcat:vs7j77ky6rc7dmxborkstxypay

Complementarity in Quantum Walks

Viv Kendon
2004 AIP Conference Proceedings  
[Jozsa 1998] + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 25Unary vs Binary Coding[Jozsa 1998] Unary: distinguish between measurements with N outcomes Binary: log 2 N measurements  ...  + + + + + + 25Unary vs Binary Coding[Jozsa 1998] Unary: distinguish between measurements with N outcomes Binary: log 2 N measurements with 2 outcomes each −→ exponentially better accuracy binary encoding  ... 
doi:10.1063/1.1834399 fatcat:bzi7opng7ret3adu6rthkvkjri

Quantum enigma machines [article]

Seth Lloyd
2013 arXiv   pre-print
The original enigma machine code was broken by detecting hidden patterns in these pseudo-random numbers.  ...  Since unary coding over blocks of N modes attains the channel capacity for a lossy channel in the limit of low photon number per mode [14] [15] [16] , the capacity of a secure quantum enigma machine channel  ...  photon spread amongst N modes, so that the j'th message 4 is encoded in the state |j with the single photon in mode j.  ... 
arXiv:1307.0380v1 fatcat:5kd7k7gn75cwpnze6xa75be4iy

Noise Robust Classification Based On Spread Spectrum [chapter]

Joern David
2009 Proceedings of the 2009 SIAM International Conference on Data Mining  
The idea behind this data spreading approach is related to the field of errorcorrecting output coding, but is furthermore characterized by a despreading mechanism that results in high classification accuracy  ...  Our main contribution is to adapt the spread spectrum method from signal transmission technology to classification of feature vectors, which are encoded for neural processing by means of unique spreading  ...  Thus the output signal is despread with all spreading codes and each result is compared with the lookuptable that holds the basic encodings (unary) of all object classes C.  ... 
doi:10.1137/1.9781611972795.57 dblp:conf/sdm/David09 fatcat:mhtjazqc4zax7dyuhedvkejdoa

Unit Cell Mismatch Scrambling Method for High-Resolution Unary DAC based on Virtual 3D Layout

Dan Yao, Xuanyan Bai, Shogo Katayama, Anna Kuwana, Kazuyuki Kawauchi, Haruo Kobayashi, Kouji Hirai, Akira Suzuki, Satoshi Yamada, Tomoyuki Kato, Ritsuko Kitagawa, Takeshi Shimamura (+4 others)
2022 IEICE Electronics Express  
The paper studies a unit cell mismatch scrambling method for a high-resolution unary DAC based on virtual 3-dimensional (3D) layout, to improve its spurious-free dynamic range (SFDR) for communication  ...  codes are 𝑆 64 , 𝑆 63 , 𝑆 62 , …, 𝑆 3 , 𝑆 2 , 𝑆 1 .  ...  Let us consider a 6-bit unary DAC with digital binary inputs of 𝐵 6 , 𝐵 5 , 𝐵 4 , 𝐵 3 , 𝐵 2 , 𝐵 1 , and their thermometer codes are 𝑆 64 , 𝑆 63 , 𝑆 62 , …, 𝑆 3 , 𝑆 2 , 𝑆 1 .  ... 
doi:10.1587/elex.19.20220430 fatcat:njvlykhlb5a23brnt7yf6gynli

Irregular Trellis for the Near-Capacity Unary Error Correction Coding of Symbol Values From an Infinite Set

Wenbo Zhang, Matthew F. Brejza, Tao Wang, Robert G. Maunder, Lajos Hanzo
2015 IEEE Transactions on Communications  
Irregular joint source and channel coding 1 (JSCC) scheme is proposed, which we refer to as the irregu-2 lar unary error correction (IrUEC) code.  ...  More specifically, we propose an Irregular 92 Unary Error Correction (IrUEC) code, which extends the regu-93 lar UEC of our previous work [10].  ...  Like the regular 1030 UEC code of [10], this employs a unary code, but replaces the 1031 UEC's trellis code with a novel IrTrellis code.  ... 
doi:10.1109/tcomm.2015.2493149 fatcat:63dw32otvrdini5nbv6l3xdgcy

DESIGN OF A 10-BIT NON-LINEAR INTERPOLATION DAC

Khaled Shehata, Saleh Eisa, Hani Fikry, Tarif Elshafiey
2006 The International Conference on Electrical Engineering  
The unary decoded architecture uses thermometer code to switch the current sources.  ...  In this architecture the most significant bits (MSB) are unary decoded to reduce glitches and the least significant bits (LSB) are binary coded to reduce the number of transistors.  ... 
doi:10.21608/iceeng.2006.33530 fatcat:uelwv6zf3vbqneig6ph7h24zha

Page 557 of Mathematical Reviews Vol. 38, Issue 3 [page]

1969 Mathematical Reviews  
Such a code G has spread s if, for each pair of vertices u and v, we have 8;4)(u, v)<s implies 5,(u, v) = 5,,4)(u, v), where &( , ) is the obvious metric.  ...  Finite-state languages are defined by fixed-point equations in which the alphabet symbols denote unary operators.  ... 

A novel temperature and disturbance insensitive DAC calibration method

Elbert Bechthum, Georgi Radulov, Arthur van Roermund
2011 2011 IEEE International Symposium of Circuits and Systems (ISCAS)  
Note that the described method can also be applied to a fully unary or binary coded DAC.  ...  coded current cells.  ... 
doi:10.1109/iscas.2011.5937988 dblp:conf/iscas/BechthumRR11 fatcat:k5p3dempdjcn7esx4xgmoxtray
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