High resolution quantization and entropy coding of jump processes
نویسندگان
چکیده
We study the quantization problem for certain types of jump processes. The probabilities for the number of jumps are assumed to be bounded by Poisson weights. Otherwise, jump positions and increments can be rather generally distributed and correlated. We show in particular that in many cases entropy coding error and quantization error have distinct rates. Finally, we investigate the quantization problem for the special case of Rd-valued compound Poisson processes.
منابع مشابه
2 3 A pr 2 00 5 High - resolution quantization and entropy coding for fractional Brownian motion
We derive a high-resolution formula for the quantization and entropy coding approximation quantities for fractional Brownian motion, respective to the supre-mum norm and L p [0, 1]-norm distortions. We show that all moments in the quanti-zation problem lead to the same asymptotics. Using a general principle, we conclude that entropy coding and quantization coincide asymptotically. Under supremu...
متن کاملHigh-resolution quantization and entropy coding for fractional Brownian motion
We establish the precise asymptotics of the quantization and entropy coding errors for fractional Brownian motion with respect to the supremum norm and L[0, 1]-norm distortions. We show that all moments in the quantization problem lead to the same asymptotics. Using a general principle, we conclude that entropy coding and quantization coincide asymptotically. Under supremum-norm distortion, our...
متن کاملLow-Delay Distributed Source Coding: Bounds and Performance of Practical Codes
The performance of distributed source coding methods based on scalar quantization followed by scalar entropy coding is investigated. For a fixed quantizer, the problem is converted to that of zero-error entropy coding for bipartite graphs with a special structure. It is then experimentally shown that for bipartite graphs corresponding to jointly Gaussian sources and high-resolution uniform quan...
متن کاملHigh resolution coding of stochastic processes and small ball probabilities
In this thesis, we study the high resolution coding problem for stochastic processes. The general coding problem concerns the finding of a good representation of a random signal, the original, within a class of allowed representations. The class of allowed representations is defined through restrictions on the information content of these representations. Mostly we consider three different inte...
متن کاملCalculation of an entropy-constrained quantizer for exponentially damped sinudoids parameters
The Exponentially Damped Sinusoids (EDS) model can efficiently represent real-world audio signals. In the context of low bit rate parametric audio coding, the EDS model could bring a significant improvement over classical sinusoidal models. The inclusion of an additional damping parameter calls for a specific quantization scheme. In this report, we describe a new jointscalar quantization scheme...
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:
- J. Complexity
دوره 25 شماره
صفحات -
تاریخ انتشار 2009