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Unfolding the Frequency Spectrum for Undersampled Wideband Data
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. University of Gävle, Sweden; Vrije Universiteit Brussel,, Belgium.
University of Gävle, Sweden.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-2718-0262
2011 (English)In: Signal Processing, ISSN 0165-1684, E-ISSN 1872-7557, Vol. 91, no 5, 1347-1350 p.Article in journal (Refereed) Published
Abstract [en]

In this letter, we discuss the problem of unfolding the frequency spectrum for undersampled wideband data. The problem is of relevance to state-of-the-art radio frequency measurement systems, which capture repetitive waveform based on a sampling rate that violates the Nyquist constraint. The problem is presented in a compact form by the inclusion of a complex operator called the CN operator. The ease-of-use problem formulation eliminates the ambiguity caused by folded frequency spectra, in particular those with lines standing on multiples of the Nyquist frequency that are captured with erroneous amplitude and phase values.

Place, publisher, year, edition, pages
Elsevier , 2011. Vol. 91, no 5, 1347-1350 p.
Keyword [en]
Aliasing, Ambiguities, Frequency Spectrum Reconstruction, Radio Frequency Measurement Systems, Undersampling, Wideband Signals
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-24535DOI: 10.1016/j.sigpro.2010.12.013ISI: 000287905700032Scopus ID: 2-s2.0-79551484125OAI: oai:DiVA.org:kth-24535DiVA: diva2:351360
Funder
ICT - The Next Generation
Note

QC 20101001

Available from: 2010-09-14 Created: 2010-09-14 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Enhancing Radio Frequency System Performance by Digital Signal Processing
Open this publication in new window or tab >>Enhancing Radio Frequency System Performance by Digital Signal Processing
2010 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis measurement systems for the purpose ofcharacterization of radio frequency power amplifiers are studied.Methods to increase the speed, accuracy, bandwidth, as well as toreduce the sampling requirements and testing cost are presented. Amethod intended for signal shaping with respect to peak-to-averageratio reduction and its effects-improvements on the radio frequencyfront-end performance is investigated.

A time domain measurement system intended for fast and accuratemeasurements and characterization of radio frequency poweramplifiers is discussed. An automated, fast and accurate techniquefor power and frequency sweep measurements is presented.Multidimensional representation of measured figure of merits isevaluated for its importance on the production-testing phase ofpower amplifiers.

A technique to extend the digital bandwidth of a measurement systemis discussed. It is based on the Zhu-Frank generalized samplingtheorem which decreases the requirements on the sampling rate of themeasurement system. Its application for power amplifiers behavioralmodeling is discussed and evaluated experimentally.

A general method for designing multitone for the purpose ofout-of-band characterization of nonlinear radio frequency modulesusing harmonic sampling is presented. It has an application with thevalidation of power amplifiers behavioral models in theirout-of-band frequency spectral support when extracted fromundersampled data.

A method for unfolding the frequency spectrum of undersampledwideband signals is presented. It is of high relevance tostate-of-the-art radio frequency measurement systems which capturerepetitive waveform based on a sampling rate that violates theNyquist constraint. The method is presented in a compact form, iteliminates ambiguities caused by folded frequency spectra standingoutside the Nyquist band, and is relevant for calibration matters.

A convex optimization reduction-based method of peaks-to-averageratio of orthogonal frequency division multiplexing signals ispresented and experimentally validated for a wireless local areanetwork system. Improvements on the radio frequency power amplifierlevel are investigated with respect to power added efficiency,output power, in-band and out-of-band errors. The influence of thepower distribution in the excitation signal on power amplifierperformance was evaluated.

Place, publisher, year, edition, pages
SE-100 44 Stockholm, Sweden: Signal Processing, School of Eletrical Engineering, Royal Institute of Technology, 2010. ix, 9 p.
Series
Trita-EE, ISSN 1653-5146 ; 2010:030
Identifiers
urn:nbn:se:kth:diva-24536 (URN)
Presentation
2010-08-20, 99:132, Kungsbäcksvägen 47 Gävle, SE-801 76, University of Gävle, 10:15 (English)
Opponent
Supervisors
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KKS
Note
QC 20101001Available from: 2010-10-01 Created: 2010-09-14 Last updated: 2010-10-01Bibliographically approved

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Händel, Peter

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