scholarly journals Quantile Process with Applications : Chirp Signal Model

2021 ◽  
Author(s):  
Subhra Sankar Dhar
Keyword(s):  
Stochastic Process ◽  
Statistical Signal Processing ◽  
Descriptive Statistics ◽  
Chirp Signal ◽  
Signal Model ◽  
Extensive Simulation ◽  
Quantile Process ◽  
Limiting Behaviour ◽  
Basic Features ◽  
Entire Distribution

<p>The parameters in the well-known chirp signal model controls the frequency fluctuations of the signals, and consequently, the estimation of the parameters has received considerable attention in the literature of statistical signal processing. In the same spirit with a broader view, this article investigates the quantile estimator of parameters involved in the chirp signal model, which enables us to provide basic features of the entire distribution of the signals. In the course of this study, we establish the limiting behaviour of the associated stochastic process, which we call quantile process. As the applications of this result, we obtain the limiting distributions of various quantile based measures of descriptive statistics, which give us summarized features of the fluctuations of the signals in various senses. Finally, along with extensive simulation study, the practicability of the proposed methodology is shown on a few benchmark real datasets closely related with various chirp signal models.<br></p>

scholarly journals Quantile Process with Applications : Chirp Signal Model

2021 ◽  
Author(s):  
Subhra Sankar Dhar
Keyword(s):  
Stochastic Process ◽  
Statistical Signal Processing ◽  
Descriptive Statistics ◽  
Chirp Signal ◽  
Signal Model ◽  
Extensive Simulation ◽  
Quantile Process ◽  
Limiting Behaviour ◽  
Basic Features ◽  
Entire Distribution

<p>The parameters in the well-known chirp signal model controls the frequency fluctuations of the signals, and consequently, the estimation of the parameters has received considerable attention in the literature of statistical signal processing. In the same spirit with a broader view, this article investigates the quantile estimator of parameters involved in the chirp signal model, which enables us to provide basic features of the entire distribution of the signals. In the course of this study, we establish the limiting behaviour of the associated stochastic process, which we call quantile process. As the applications of this result, we obtain the limiting distributions of various quantile based measures of descriptive statistics, which give us summarized features of the fluctuations of the signals in various senses. Finally, along with extensive simulation study, the practicability of the proposed methodology is shown on a few benchmark real datasets closely related with various chirp signal models.<br></p>

scholarly journals Hybrid Chirp Signal Design for Improved Long-Range (LoRa) Communications

Signals ◽  
2022 ◽  
Vol 3 (1) ◽  
pp. 1-10
Author(s):  
Md. Noor-A-Rahim ◽  
M. Omar Khyam ◽  
Apel Mahmud ◽  
Xinde Li ◽  
Dirk Pesch ◽  
...  
Keyword(s):  
Long Range ◽  
Bit Error Rate ◽  
Modulation Scheme ◽  
Signal Design ◽  
Chirp Signal ◽  
Performance Gain ◽  
Extensive Simulation ◽  
Noise Interference ◽  
Chirp Signals ◽  
Simulation Results

Long-range (LoRa) communication has attracted much attention recently due to its utility for many Internet of Things applications. However, one of the key problems of LoRa technology is that it is vulnerable to noise/interference due to the use of only up-chirp signals during modulation. In this paper, to solve this problem, unlike the conventional LoRa modulation scheme, we propose a modulation scheme for LoRa communication based on joint up- and down-chirps. A fast Fourier transform (FFT)-based demodulation scheme is devised to detect modulated symbols. To further improve the demodulation performance, a hybrid demodulation scheme, comprised of FFT- and correlation-based demodulation, is also proposed. The performance of the proposed scheme is evaluated through extensive simulation results. Compared to the conventional LoRa modulation scheme, we show that the proposed scheme exhibits over 3 dB performance gain at a bit error rate of 10−4.

Chirp Signal Model

2020 ◽  
pp. 179-216
Author(s):  
Swagata Nandi ◽  
Debasis Kundu
Keyword(s):  
Chirp Signal ◽  
Signal Model

On the limiting behaviour of a basic stochastic process

1972 ◽  
Vol 9 (1) ◽  
pp. 202-207
Author(s):  
İzzet Şahin ◽  
Oussama Achou
Keyword(s):  
Stochastic Process ◽  
Integral Equation ◽  
Stochastic Processes ◽  
Integral Equations ◽  
Mixed Type ◽  
Limiting Distributions ◽  
State Dependent ◽  
Limiting Behaviour ◽  
Rate Of Decline

Determination of the limiting distributions for a class of mixed-type stochastic processes with state-dependent rates of decline is reduced to the solution of a class of integral equations. For the case where the rate of decline is proportional to the state, some results are obtained by solving the integral equation of the process through Fuchs' method.

scholarly journals Hybrid Chirp Signal Design for Improved Long-Range (LoRa) Communications

2021 ◽  
Author(s):  
Md. Noor-A-Rahim ◽  
Mohammad Omar Khyam ◽  
Apel Mahmud ◽  
Xinde Li ◽  
Dirk Pesch ◽  
...  
Keyword(s):  
Long Range ◽  
Bit Error Rate ◽  
Modulation Scheme ◽  
Signal Design ◽  
Chirp Signal ◽  
Performance Gain ◽  
Extensive Simulation ◽  
Noise Interference ◽  
Chirp Signals ◽  
Simulation Results

Long-range (LoRa) communication has attracted much attention recently due to its application for many Internet of Things applications. However, one of the key problems of the LoRa technology is it is vulnerable to noise/interference due to the use of only up-chirp signals during modulation. In this paper, to solve this problem, unlike the conventional LoRa modulation scheme, we propose a modulation scheme for LoRa communication based on joint up- and down-chirps. A fast Fourier transform (FFT) based demodulation scheme is devised to detect modulated symbols. To further improve demodulation performance, a hybrid demodulation scheme, comprised of FFT and correlation-based demodulation is also proposed. The performance of the proposed scheme is evaluated through extensive simulation results. Compared to the conventional LoRa modulation scheme, we show that the proposed scheme exhibits over 3 dB performance gain at bit error rate of 10^-4.

scholarly journals Hybrid Chirp Signal Design for Improved Long-Range (LoRa) Communications

2021 ◽  
Author(s):  
Md. Noor-A-Rahim ◽  
Mohammad Omar Khyam ◽  
Apel Mahmud ◽  
Xinde Li ◽  
Dirk Pesch ◽  
...  
Keyword(s):  
Long Range ◽  
Bit Error Rate ◽  
Modulation Scheme ◽  
Signal Design ◽  
Chirp Signal ◽  
Performance Gain ◽  
Extensive Simulation ◽  
Noise Interference ◽  
Chirp Signals ◽  
Simulation Results

Long-range (LoRa) communication has attracted much attention recently due to its application for many Internet of Things applications. However, one of the key problems of the LoRa technology is it is vulnerable to noise/interference due to the use of only up-chirp signals during modulation. In this paper, to solve this problem, unlike the conventional LoRa modulation scheme, we propose a modulation scheme for LoRa communication based on joint up- and down-chirps. A fast Fourier transform (FFT) based demodulation scheme is devised to detect modulated symbols. To further improve demodulation performance, a hybrid demodulation scheme, comprised of FFT and correlation-based demodulation is also proposed. The performance of the proposed scheme is evaluated through extensive simulation results. Compared to the conventional LoRa modulation scheme, we show that the proposed scheme exhibits over 3 dB performance gain at bit error rate of 10^-4.

scholarly journals A Computationally Efficient Iterative Algorithm for Estimating the Parameter of Chirp Signal Model

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Jiawen Bian ◽  
Jing Xing ◽  
Zhihui Liu ◽  
Lihua Fu ◽  
Hongwei Li
Keyword(s):  
Iterative Algorithm ◽  
Signal To Noise Ratio ◽  
Asymptotic Variance ◽  
Chirp Signal ◽  
Computationally Efficient ◽  
Signal Model ◽  
Simulation Experiments ◽  
Differential Signal ◽  
Mean Squared Errors ◽  
Frequency Rate

The parameter estimation of Chirp signal model in additive noises when all the noises are independently and identically distributed (i.i.d.) has been considered. A novel iterative algorithm is proposed to estimate the frequency rate of the considered model by constructing the iterative statistics with one-lag and multilag differential signals. It is observed that the estimator for the iterative algorithm is consistent and works quite well in terms of biases and mean squared errors. Moreover, the convergence rate of the estimator is improved fromOp(N-1)of the initial estimator toOp(N-3/2)for one-lag differential signal condition and fromOp(N-2)of the initial estimator toOp(N-5/2)for multilag differential signal condition, respectively, by only three iterations. The range of the lag is discussed and the optimal lag is obtained for the multilag differential signal condition when the lag is of orderN. The estimator of frequency rate with optimal lag is very close to Cramer-Rao lower bound (CRLB) as well as the asymptotic variance of least-squares estimator (LSE) at moderate signal-to-noise ratio (SNR). Finally, simulation experiments are performed to verify the effectiveness of the algorithm.

scholarly journals The Influence of the Seller’s Performance on the Consumer Purchase of Clothes and Personal Care, Toiletries and Cosmetics Products

2018 ◽  
Vol 9 (2) ◽  
pp. 507
Author(s):  
Denise Luciana Rieg ◽  
Fernando Cezar Leandro Scramim ◽  
Elaine Paola ◽  
Fabiana Alves Rugfino
Keyword(s):  
Decision Process ◽  
Descriptive Statistics ◽  
Product Knowledge ◽  
Personal Care ◽  
Performance Style ◽  
Significance Level ◽  
Factors Influencing ◽  
Main Factors ◽  
Basic Features ◽  
Structured Questionnaire

This paper presents the results of a survey about the influence of the seller’s performance on the consumer purchase of clothes and personal care, toiletries and cosmetics (HPPC) and to compare their results. This study has an exploratory, quantitative and descriptive nature. The samples surveyed were made up of students enrolled in engineering courses of a university located in the State of São Paulo, Brazil. In the case of clothes market, a survey with a sample of 329 respondents was performed through a structured questionnaire. Regarding PHPC, the number of respondents was 317. We used descriptive statistics to describe the basic features of the data and the nonparametric Mann-Whitney test to compare the two sample results (significance level of 5%). The results indicate that, in both sectors, the majority of respondents go to specific stores to carry their purchases. Price, seller’s performance, style and brands are the main factors influencing the consumers’ decision about which store to buy. It was also found that the seller’s performance influences the costumers’ buying decision process and loyalty. Aspects of credibility, interest in customer needs, product knowledge, courtesy and attention were aspects of seller’s performance considered the most important by respondents in both sectors.

scholarly journals Descriptive analysis of circular data with outliers using Python programming language

2020 ◽  
Vol 1 (01) ◽  
pp. 31-36
Author(s):  
N.S. Zulkipli ◽  
S.Z. Satari ◽  
W.N.S. Wan Yusoff
Keyword(s):  
Programming Language ◽  
Descriptive Analysis ◽  
Descriptive Statistics ◽  
Circular Data ◽  
Circular Statistics ◽  
Statistical Software ◽  
R Programming Language ◽  
R Programming ◽  
Basic Features ◽  
Python Programming

Descriptive statistics are commonly used in data analysis to describe the basic features of raw data. Descriptive summaries enable us to present the data in a more simple and meaningful way so that the interpretation will be easier to understand. The descriptive analysis of circular data with outliers is discussed in this study. Circular data is different from linear data in many aspects such as statistical modeling, descriptive statistics and etc. Hence, unlike linear data, the availability of statistical software specialises in analysing circular data is very limited. Python is a programming language which frequently used by data analysts nowadays. However, the package for circular statistics is not fully developed and it is not ready to use like in Splus or R programming language. In this study, the descriptive analysis of circular data is performed using the in-demand programming language, Python. Descriptive statistics of the circular data especially with the existence of outliers are discussed and the proposed Python code is available to use.

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