sampling theory, concept in the arena of digital signal processing is a vital link between digital (domains) discrete signals and analog domains (continuous signals). Firmly speaking, it only relates to a group of mathematical functions or applications which have zero Fourier transformations outside of a finite area of frequency. To the genuine signals methodological additions which can only estimate the situation, are offered by a version of the Poison summation formula mainly the transformed discrete-time Fourier. We expect automatically that when one lessens an ongoing function to an isolated system known as samples and introduces back to an ongoing process or function, the reliability of the outcome depends on the sample rate or density of the initial samples.

The concept of sample-rate is introduced within the sampling theory that is relevant for flawless reliability of the bandlimited functions class. The terms of the bandwidth functions are highlighted within the rates of the samples. Therefore, no actual data is lost during the process of sampling. The sampling theory also leads to a mathematical ideal formula for the interpolation algorithm (Lavry, 2004).

Examples of practical situations where the sampling theory can be applied include images and multivariable signals usually formulated for a single variable function. Often the theorem is consequently applied directly to time-dependent signals which are often formulated normally in that context. The sampling theory however can be extended to arbitrary work with different variables.

As a quality manager, I would improve the above described image and multivariable signals sampling by implementing inter sample high frequency component signals. Modern sample-data control theory used within this observation suggests that it can offer remedies to the issues currently encountered in sound processing. Theoretical analysis has shown that, filters can be customized that can interpolate optimally the contents of the inter-samples. Through such applications the analog for continuous time performance can be effectively recovered.

Reference

Lavry, D. (2004). Sampling Theory For Digital Audio. Lavry Engineering, Inc. Available     online: http://www. lavryengineering. com/documents/Sampling_Theory. pdf (checked     24.5. 2010).