Measurement and symbolic analysis of implemented multirate systems

Multirate systems (MRS) play a major role in modern telecommunication. Important examples are filter banks for image or speech coding, transmultiplexers, and sampling rate converters. In general, these systems are designed without consideration of implementation aspects such as wordlength limitations. The performance of realized systems will therefore differ from the desired one depending on the system structure. Not all deviations can be calculated in closed form and even practicable calculations are often extensive and error-prone. Therefore, we present a method for measuring quantization effects in realized MRS. Furthermore, we introduce a new program for the symbolic analysis of MRS using a computer algebra program.