Analysis of Some New Approximations of Piecewise Uniform Polar Quantization
نویسندگان
چکیده
In this paper the piecewise uniform polar quantization of Gaussian source is analyzed. Simultaneous inside the rings after the first partition the constant probability density function of input signal vector amplitude is supposed. For this case and for the given code rate we optimized the granular distortion in order to get the manner of total points number distribution per rings after the first partition; than the manner of the second partition, i.e. we evaluated the expressions for amplitude levels number and the phase levels number on one amplitude level. Also we found the expression for granular distortion which we used to estimate the suggested model. Namely, we compare the obtained signal to quantization noise ratio with the known optimal ratio and on these bases we conclude, among the other things, under which condition the suggested approximation can be applied.
منابع مشابه
Close interval approximation of piecewise quadratic fuzzy numbers for fuzzy fractional program
The fuzzy approach has undergone a profound structural transformation in the past few decades. Numerous studies have been undertaken to explain fuzzy approach for linear and nonlinear programs. While, the findings in earlier studies have been conflicting, recent studies of competitive situations indicate that fractional programming problem has a positive impact on comparative scenario. We pro...
متن کاملError Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Continuous Piecewise Linear Approximations
We discuss error estimates for the numerical analysis of Neumann boundary control problems. We present some known results about piecewise constant approximations of the control and introduce some new results about continuous piecewise linear approximations. We obtain the rates of convergence in i ^ ( r ) . Error estimates in the uniform norm are also obtained. We also discuss the semidiscretiza...
متن کاملThe best uniform polynomial approximation of two classes of rational functions
In this paper we obtain the explicit form of the best uniform polynomial approximations out of Pn of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the results.
متن کاملPolar Quantization Revisited
A uniied analysis of several polar quantization schemes is developed by focusing on their point densities and inertial prooles and using Bennett's integral to express the mean-squared error. The subsequent analysis is straightforward and leads to new insights into the relationship between polar quantization and Cartesian quantization. With this approach, unrestricted polar quantization, which i...
متن کاملSwitched Piecewise Uniform Vector Quantization of the Memoryless Two-dimensional Laplacian Source in a Wide Dynamic Range of Power
In this paper a simple and complete asymptotical analysis is given for a switched piecewise uniform quantization of twodimensional memoryless Laplacian source with the respect to distortion (D) i.e. the mean-square error (MSE). Piecewise uniform quantization consists of L different uniform vector quantizers. Uniform quantizer optimality conditions and all main equations for optimal number of le...
متن کامل