Design of Generalized Frequency Domain Exponential Filters

A general topology capable of implementing integer and non-integer versions of filters with exponential form of their gain responses in the frequency domain, is introduced in this work. The derivation of the topology is performed by employing a curve-fitting method for approximating the gain response, in each case. The versatility of the presented scheme is confirmed through experimental results obtained using a Field Programmable Analog Array device. A practical design example is also provided, where a combination of the introduced stages is utilized for denoising an electrocardiogram signal.