Source Coding with Renyis Entropy

نویسندگان

  • Arun Choudhary
  • Satish Kumar
  • Arvind Kumar
چکیده

A new measure called average code word length of order is defined and its relationship with Renyi's entropy of order is discussed. Using some coding theorems are proved under the condition Refer ences

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Towards Development of Efficient Compression Techniques for Different Types of Source Data

This Chapter summarizes and concludes our research work. Our work is mainly in the area of lossless data compression using arithmetic coding. Arithmetic coding is used to compress any type of source data. It falls under entropy coding compression methods and is most widely used as a replacement of Huffman encoding entropy method due to its nearly optimal entropy. It is also used with most of th...

متن کامل

Entropy minimization for supervised digital communications channel equalization

This paper investigates the application of error-entropy minimization algorithms to digital communications channel equalization. The pdf of the error between the training sequence and the output of the equalizer is estimated using the Parzen windowing method with a Gaussian kernel, and then, the Renyi’s quadratic entropy is minimized using a gradient descent algorithm. By estimating the Renyis ...

متن کامل

On the smooth Rényi entropy and variable-length source coding allowing errors

In this paper, we consider the problem of variable-length source coding allowing errors. The exponential moment of the codeword length is analyzed in the non-asymptotic regime and in the asymptotic regime. Our results show that the smooth Rényi entropy characterizes the optimal exponential moment of the codeword length. Index Terms ε source coding, exponential moment, the smooth Rényi entropy, ...

متن کامل

Quantum Information Chapter 10. Quantum Shannon Theory

Contents 10 Quantum Shannon Theory 1 10.1 Shannon for Dummies 2 10.1.1 Shannon entropy and data compression 2 10.1.2 Joint typicality, conditional entropy, and mutual information 6 10.1.3 Distributed source coding 8 10.1.4 The noisy channel coding theorem 9 10.2 Von Neumann Entropy 16 10.2.1 Mathematical properties of H(ρ) 18 10.2.2 Mixing, measurement, and entropy 20 10.2.3 Strong subadditivit...

متن کامل

Transform coding with integer-to-integer transforms

A new interpretation of transform coding is developed that downplays quantization and emphasizes entropy coding, allowing a comparison of entropy coding methods with different memory requirements. With conventional transform coding, based on computing Karhunen–Loève transform coefficients and then quantizing them, vector entropy coding can be replaced by scalar entropy coding without an increas...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013