Reconstruction of nonuniformly sampled bandlimited signals by means of time-varying discrete-time FIR filters
2006 (English)In: EURASTP journal an applied signal processing, ISSN 1110-8657, Vol. 2006Article in journal (Refereed) Published
This paper deals with reconstruction of nonuniformly sampledbandlimited continuous-time signals using time-varyingdiscrete-time finite-length impulse response (FIR) filters. Themain theme of the paper is to show how a slight oversamplingshould be utilized for designing the reconstruction filters in aproper manner. Based on a time-frequency function, it is shownthat the reconstruction problem can be posed as one that resemblesan ordinary filter design problem, both for deterministic signalsand random processes. From this fact, an analytic least-squaredesign technique is then derived. Furthermore, for an importantspecial case, corresponding to periodic nonuniform sampling, it isshown that the reconstruction problem alternatively can be posedas a filter bank design problem, thus with requirements on adistortion transfer function and a number of aliasing transferfunctions. This eases the design and offers alternative practicaldesign methods as discussed in the paper. Several design examplesare included that illustrate the benefits of the proposed designtechniques over previously existing techniques.
Place, publisher, year, edition, pages
2006. Vol. 2006
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-50236DOI: 10.1155/ASP/2006/64185OAI: oai:DiVA.org:liu-50236DiVA: diva2:271132