Browsing by Author "Tanyer, Suleyman Gokhun"

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Analysis of True Random Number Generation Method Utilizing FM Radio Signals
(2015) Tanyer, Suleyman Gokhun; Inam, Sitki Cagdas; Atalay, Kumru Didem; 0000-0001-9506-2391; 0000-0003-0820-9186; I-5023-2013
Random number generator (RNG)'s utilize some source of entropy. Various RNGs; pseudo, quasi and true RNGs provide observed samples for given distributions which are necessary in statistical signal processing and simulations applications. True random number generators generally utilize the last insignificant bit of observed samples obtained from a source of entropy. In this work, samples obtained from an FM broadcasting are examined. Least significant bit is used to generate 16 bits observed samples. Randomness and goodness-of-fit test results are compared with the raw samples. It is shown that it is possible to generate true random numbers of sufficient merits using FM signals even when the band is occupied with broadcasting signals.
Estimating Land Cover Type And Proportıon Of Vegetation Using Remote Sensing
(2014) Erol, Cemil Berin; Tanyer, Suleyman Gokhun; https://orcid.org/0000-0001-9506-2391; I-5023-2013
Estimation of the land cover type and proportion of vegetation using NASA's EOS/MODIS data is verified as a case study for Turkey where 7 locations were selected. The correlation between the NDVI/EVI data is analyzed. EVI is shown to be slightly more accurate than NDVI. Land cover types are determined for these 7 locations, and similar to other locations, Istanbul and Samsun are found to perfectly match the 'forest type' Izmir is found to be different from the currently available land cover types which are assumed to be due to its mixed canopy structure. Annual and monthly average measurements in various bands are analyzed and expected correlation with the number of days of precipitation is observed.
Feature Extraction For Musıc Signals: Just Tuned, Equal Temperament And Intense Diatonic Systems
(2014) Tanyer, Suleyman Gokhun; https://orcid.org/0000-0001-9506-2391; I-5023-2013
Feature extraction of music signals are often required in applications including; identification and classification of music files over the web or a database. The feature observations for different classes are expected to be distict, and also their computationally efficient implementations to be available. This is necessary both for offline and real time data processing. It is currently an active research field to improve available methods. The need for accurate analysis of a complete music tune conflicts with the time and computation efficiency requirements. Music theory offers new opportunities for feature extraction, especially the intervals systems which reflect the music's characteristics; historical background, geography and culture. Assuming that a standard database would consists of various type of music tunes, features related to the interval systems provide vast amount of opportunities in signal processing. In this work, both the interval systems using just tuning and equal temperaments are analyzed. The computed frequency ratios are tabulated, and proposed to be used for developing feature extraction problems.
Generation of Quasi-Random Numbers with Exact Statistics
(2014) Tanyer, Suleyman Gokhun; https://orcid.org/0000-0001-9506-2391; I-5023-2013
System models are generally developed for predicting the outcome of the system under test due to a preset input. This is true not only for problems in mathematics, physics and engineering but also for problems in economics, medicine and social sciences. System models should involve random variables if the system knowledge is not deterministic. In this paper, the method of uniform sampling (MUS) is proposed for the generation of statistically very accurate numbers for an arbitrary distribution. MUS is illustrated for uniform and standard normal distributions. Its performance is tested using quantitive 'quality' measures. A practical algorithm for the generation of a statistically very accurate samples for an arbitrary distribution is given, the generated number and the generator itself are tested to be very accurate using the quality measure.
Goodness-of-fit and Randomness Tests for the Sun's Emissions True Random Number Generator
(2014) Tanyer, Suleyman Gokhun; Atalay, Kumru Didem; Inam, Sitki Cagdas; 0000-0003-0820-9186; I-5023-2013; JHU-3888-2023
Random number generators ( RNGs) are one of the key tools necessary for statistical analysis and optimization methods such as Monte Carlo, particle swarm optimization ( PSO) and the genetic algorithm. Various pseudo and true RNGs are available today, and they provide sufficient randomness. Unfortunately, they generate data that do not always represent the required distribution accurately, especially when the data length is small. This could possibly threaten the 'repeatability' of an academic study. A novel true RNG ( TRNG) using the method of uniform sampling ( MUS) is recently proposed. In this work, the Sun's RF emissions MUS-TRNG is comparatively tested with well known pseudo and true RNGs. It is observed that both randomness and very high goodness-of-fit qualities are possible.
Just-37 Interval System - A Complete Set of Natural Harmonics For Turkish Maqams
(2014) Tanyer, Suleyman Gokhun
Identification and classification of music signals provide solutions for multi-media applications including categorized data sharing over the web. The mathematical analysis of music requires features for discriminating; East-West; Turkish-Arab-Chinese-Indian; blues-jazz-classical music etc. The widely used twelve-tone equal temperament (12-TET) interval system for the classical music and the just tones preferred by the East is readily distinguishable by time-frequency analyses. Unfortunately, this is not exactly true when the analyzed music are all based on those harmonics, namely 'the fifths' where Turkish maqams are good examples. The musical interval systems must be analyzed and for each type, distinguishable features should be found. In this work, the problem of identification of Turkish maqams is examined. The various lists for maqams are unified on a single list, possibly filtering out some of the possible misleading information. The latest and widely accepted Arel-Ezgi-Uzdilek interval system and its missing maqams; 'Dik Gevest and 'Dik Puselik' are analyzed. The just 37 interval system which includes those missing maqams and as well as forgotten maqams of the past is proposed.
Maximum Amplitude Sensitive Time-Frequency Analysis
(2015) Celik, Yusuf Gorkem; Tanyer, Suleyman Gokhun; 0000-0001-9506-2391; I-5023-2013
Short-Time Fourier Transform (STFT) is widely preferred to overcome the time ambiguity problem introduced by Fourier Transform. Unfortunately, STFT offers a large value for the multiplication of the time and frequency resolutions. Time resolution degrades when frequency resolution is improved, and vice versa. The need for better methods for their improved time-frequency analysis are still valid. In this work, Maximum Amplitude Sensitive High Resolution Time-Frequency Analysis (MAS-TFA) method is proposed for improved resolution both in time and frequency domains. Based on the well known STFT, MAS-TFA is the fusion of better resolved information using varying window lengths in time. This novel method is comparatively tested using various available methods. Numerical results show that an improvement ratio of %52 is possible.
Randomness Tests For The Method Of Unıform Sampling Quasi-Random Number Generator (MUS-QRNG)
(2014) Atalay, Kumru Didem; Tanyer, Suleyman Gokhun; https://orcid.org/0000-0001-9506-2391; I-5023-2013
Random number generation is still an important research field in many scientific applications today. Cryptography, Monte Carlo simulations and commertial applications all rely on reference random data. Randomness tests and basic statistics share the same history. Randomness can be summarized as the unpredictability of future samples of a random number generator even in the presence of known all past values. Various randomness tests are developed and due to their individual contributions, usually a battery of tests are applied to verify a random number generator. In signal processing however, the error of a specific observed sample set to a given distribution could be much more important when it is used as the input for a system model. Recently, this distance of finite samples set to a given distribution is studied and a quantitative measure for quality is proposed Multi run computations like Monte Carlo simulations, often rely on accurate statistical data for high repetibility. Otherwise when the data is not accurate, the results could often rely on the source of random data generator. Many runs are often required to gain a confidence in the presence of those variances. In this work, recently proposed quasi-random number generator utilizing method of uniform sampling NUS) is tested using standard goodness-of-fitness tests. MUS-QRNG numbers are shown to have exact statistics and also their randomness test results are observed to be similar to well known reference generator of Matlab. MUS-QRNG is proposed for high quality random data generation.
Solution to Al-Jurjani's 1,000 Year Old Signal Processing Problem on The Generation of Harmonics in Music
(2014) Tanyer, Suleyman Gokhun; https://orcid.org/0000-0001-9506-2391; I-5023-2013
Interval (tuning) systems in music reflect history, culture and geography. The classical music of the west is based on the twelve-tone equal temperament (12-TET) interval (tuning) system which became dominant throughout the world. Today, other interval systems are being re-discovered by the west with the advances in information technologies. Many multi-media applications use digital signal processing to; process, synthesize, recognize, classify and share music. The important classification features such as; interval system, mode and maqams provide solutions for the discrepancy of music; east-west; Turkish-Arab-Chinese-Indian; blues-jazz-clasical. In this paper, the theoretical problem of constructing an interval system independent from the harmonics 'the fifths', today known as the N-limit tonality diamond (matrix), is examined. It was first proposed by Ibni Sina's teacher Al-Jurjani approximately 1,000 years ago and solved for N = 5. In the 19th and 20th centuries, the problem was solved for N = 9 and 13. The missing solutions for N = 3 and 7 and misleading N = 15 solutions make the analysis of such music even harder. In this paper, N-limit tonality diamond problem is solved for increasing N as an application in digital signal processing. These rare and distict intervals are proposed as features for easier identification and classification
Transformation To Dual Physical Problems for The Visualization of Abstract Topics
(2015) Tanyer, Suleyman Gokhun
The Abstract topics are often very difficult to be visualized for the undergraduate students in mathematics, physics and engineering. Those problems could be represented by four fundamental examples; basic vector algebra, formation of standing waves, polarization of waves and optical filtering. In this work, the performance of teaching abstract topics using two different approaches are comparatively examined; the classical mathematical derivations and the transformation of abstract topics to visual dual physical problems. Efficiency of methodsare analysed statistically. Third year electrical engineering students' exam results are examined using the empirical cumulative distribution function (ECDF). The transformation method is observed to be helpful, especially for below the average students. Formations of healthy normally distributed exam scores are observed.
True Random Number Generation of Very High Goodness-of-fit and Randomness Qualities
(2014) Tanyer, Suleyman Gokhun; I-5023-2013
The statistical nature of numerous problems in mathematics, physics and engineering have led to the development of methods for generating random data for a given distribution. Ancient methods include; dice, coin flipping and shuffling of cards. Today, various pseudo, quasi and true random generators ( RNGs) are being proposed for their improved properties. In this work, test metrics for goodness-of-fit and randomness are reviewed. The method of uniform sampling ( MUS) is modified for improving the randomness without harming the goodness-of-fit qualities. The test results illustrate that very high goodness-of-fit can be obtained even when the number of observed samples is as small as 10.