On the Maximum Length of Huffman Codes
نویسنده
چکیده
In this paper the maximum length of binary Huuman codes is investigated dependent on the two lowest probabilities of encoded symbols. Furthermore, the structure of full binary trees with a given number of leaves, a limited depth, and maximum external path length is examined to get an improved upper bound on the external path length of Huuman trees.
منابع مشابه
Redundancy-Related Bounds on Generalized Huffman Codes
This paper presents new lower and upper bounds for the compression rate of optimal binary prefix codes on memoryless sources according to various nonlinear codeword length objectives. Like the most well-known redundancy bounds for minimum (arithmetic) average redundancy coding — Huffman coding — these are in terms of a form of entropy and/or the probability of the most probable input symbol. Th...
متن کاملAn Upper Limit of AC Huffman Code Length in JPEG Compression
A strategy for computing upper code-length limits of AC Huffman codes for an 8x8 block in JPEG Baseline coding is developed. The method is based on a geometric interpretation of the DCT, and the calculated limits are as close as 14% to the maximum code-lengths. The proposed strategy can be adapted to other transform coding methods, e.g., MPEG 2 and 4 video compressions, to calculate close upper...
متن کاملBounds on Generalized Huffman Codes
New lower and upper bounds are obtained for the compression of optimal binary prefix codes according to various nonlinear codeword length objectives. Like the coding bounds for Huffman coding — which concern the traditional linear code objective of minimizing average codeword length — these are in terms of a form of entropy and the probability of the most probable input symbol. As in Huffman co...
متن کاملTwenty (or so) Questions: $D$-ary Length-Bounded Prefix Coding
Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many practical applications, is one such variant, for which codes are restricted to the set of codes in which none of the n codewords is longer than a given length, ...
متن کاملA Comparative Complexity Study of Fixed-to-variable Length and Variable-to-fixed Length Source Codes
In this paper we present an analysis of the storage complexity of Huffman codes, Tunstall codes and arithmetic codes in various implementations and relate this to the achieved redundancies. It turns out that there exist efficient implementations of both Huffman and Tunstall codes and that their approximations result in arithmetic codes. Although not optimal, the arithmetic codes still have a be...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 45 شماره
صفحات -
تاریخ انتشار 1993