Decomposition-Based Synthesis in Implementation of Digital Filters for Wavelet Transform Application Targeted FPGA Devices

Nowadays programmable technology provides possibility to implement digital filters with use of specialized embedded DSP blocks. On the first place, however, this technology gives the designer the possibility to increase efficiency of designed system by exploitation of parallelisms of implemented algorithms. Moreover, it is possible to apply special techniques, such as distributed arithmetic (DA). Since in this approach general purpose multipliers are replaced by combinational LUT blocks, it is possible to construct digital filters of very high performance. However LUT blocks can be of considerable size thus advanced synthesis methods have to be used to map them efficiently into FPGA resources. In this paper an application of the functional decomposition based synthesis in implementation of digital filters for wavelet transform has been investigated. The paper presents many examples confirming that decomposition allows reducing logic cell utilisation of filter implementation based on distributed arithmetic concept with no performance degradation and even increasing it.