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Least.Squares Mat.ix Algorit.m for St.t.-Space Modelling of Dynamic Syst.ms

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Journal of Signal and Informat.on Processing 2011年第4期2卷 287-291页

作者： juuso t. olkkonen Hannu olkkonen 不详

t.is work present. a novel least.squares mat.ix algorit.m (LSM) for t.e analysis of rapidly changing syst.ms using st.t.-space modelling. t.e LSM algorit.m is based on t.e Hankel st.uct.red dat. mat.ix represent.t.on. t.e st.t. t.ansit.on mat.ix is updat.d wit.out.t.e use of any forget.ing funct.on. t.is yields a robust.est.mat.on of model paramet.rs in t.e presence of noise. t.e comput.t.onal complexit. of t.e LSM algorit.m is comparable t. t.e speed of t.e convent.onal recursive least.squares (RLS) algorit.m. t.e knowledge of t.e st.t. t.ansit.on mat.ix enables feasible numerical operat.rs such as int.rpolat.on, fract.onal different.at.on and int.grat.on. t.e usefulness of t.e LSM algorit.m was proved in t.e analysis of t.e neuroelect.ic signal waveforms.

关键词： St.t.-Space Modelling Dynamic Syst.m Analysis EEG

Complex Hilbert.t.ansform Filt.r

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Journal of Signal and Informat.on Processing 2011年第2期2卷 112-116页

作者： juuso t. olkkonen Hannu olkkonen 不详

Hilbert.t.ansform is a basic t.ol in const.uct.ng analyt.cal signals for a various applicat.ons such as amplit.de modulat.on, envelope and inst.nt.neous frequency analysis, quadrat.re decoding, shift.invariant.mult.-rat. signal processing and Hilbert.Huang decomposit.on. t.is work int.oduces a complex Hilbert.t.ansform (CHt. filt.r, where t.e real and imaginary part. are a Hilbert.t.ansform pair. t.e CHt.filt.red signal is analyt.c, i.e. it. Fourier t.ansform is zero in negat.ve frequency range. t.e CHt.filt.r is const.uct.d by half-sample delay operat.rs based on t.e B-spline t.ansform int.rpolat.on and decimat.on procedure. t.e CHt.filt.r has an ideal phase response and t.e magnit.de response is maximally flat.in t.e frequency range 0 ≤ ω ≤ π. t.e CHt.filt.r has int.ger coefficient. and t.e implement.t.on in VLSI requires only summat.ons and regist.r shift.. We demonst.at. t.e feasibilit. of t.e CHt.filt.r in reconst.uct.on of t.e sign modulat.d CMOS logic pulses in a fibre opt.c link.

关键词： Hilbert t.ansform Analyt.c Signal Fract.onal Delay Filt.rs

Log-t.me Sampling of Signals: Zet. t.ansform

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Open Journal of Discret. Mat.emat.cs 2011年第2期1卷 62-65页

作者： Hannu olkkonen juuso t. olkkonen 不详

We int.oduce a general framework for t.e log-t.me sampling of cont.nuous-t.me signals. We define t.e zet. t.ansform based on t.e log-t.me sampling scheme, where t.e signal x(t.is sampled at.t.me inst.nt. t.=t.ogn,n=1,2,....t.e zet. t.ansform of t.e log-t.me sampled signals can be described by a linear combinat.on of Riemann zet. funct.on, which firmly joins t.e log-t.me sampling process t. t.e number t.eory. t.e inst.nt.neous sampling frequency of t.e log-sampled signal equals fn=n/t.n=1,2,..., i.e. it.increases linearly wit. t.e sampling number. We describe t.e propert.es of t.e log-sampled signals and discuss several applicat.ons in nonuniform sampling schemes.

关键词： Sampling Z-t.ansform Zet. Funct.on

Design of Ort.ogonal UWB Pulse Waveform for Wireless Mult.-Sensor Applicat.ons

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Wireless Sensor Net.ork 2010年第11期2卷 850-853页

作者： Hannu olkkonen juuso t. olkkonen 不详

In t.is work we propose an ort.ogonal pulse waveform for wireless ult.a wideband (UWB) t.ansmission. t.e design is based on an ideal low-pass prot.t.pe filt.r having a windowed sinc impulse response. t.e frequency response of t.e prot.t.pe filt.r is t.ansferred t. t.e high frequency region using a specific sign modulat.r. t.e UWB pulse waveform comprises of t.e weight.d summat.on of t.e left.singular vect.rs of t.e impulse response mat.ix. t.e power spect.al densit. of t.e pulse waveform fulfils t.e FCC const.aint.(allowed frequency band 3.1-10.6 GHz) for unlicensed UWB t.ansmission. Applicat.ons of t.e UWB pulse waveform in mult.-channel wireless sensor net.orks are considered.

关键词： UWB Wireless Sensor Net.orks

Reconst.uct.on of Wireless UWB Pulses by Exponent.al Sampling Filt.r

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Wireless Sensor Net.ork 2010年第6期2卷 462-466页

作者： juuso t. olkkonen Hannu olkkonen 不详

Measurement.and reconst.uct.on of wireless pulses is an import.nt.scheme in wireless ult.a wide band (UWB) t.chnology. In cont.ary t. t.e band-limit.d analog signals, which can be recovered from evenly spaced samples, t.e reconst.uct.on of t.e UWB pulses is a more demanding t.sk. In t.is work we describe an exponent.al sampling filt.r (ESF) for measurement.and reconst.uct.on of UWB pulses. t.e ESF is const.uct.d from parallel filt.rs, which has exponent.ally descending impulse response. A pole cancellat.on filt.r was used t. ext.act.t.e amplit.des and t.me locat.ons of t.e UWB pulses from sequent.ally measured samples of t.e ESF out.ut. We show t.at.t.e amplit.des and t.me locat.ons of p sequent.al UWB pulses can be recovered from t.e measurement.of at.least.2p samples from t.e ESF out.ut. For perfect.reconst.uct.on t.e number of parallel filt.rs in ESP should be 2p. We st.dy t.e robust.ess of t.e met.od against.noise and discuss t.e applicat.ons of t.e met.od.

关键词： Wireless Sensor Net.orks UWB Net.ork Securit. Finit. Rat. of Innovat.on

Fast.Converging Series for Riemann Zet. Funct.on

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Open Journal of Discret. Mat.emat.cs 2012年第4期2卷 131-133页

作者： Hannu olkkonen juuso t. olkkonen Depart.ent.of Applied Physics University of Eastern Finland Kuopio Finland Vt. t.chnical Research Cent.e of Finland Espoo Finland

Riemann zet. funct.on has a key role in number t.eory and in it. applicat.ons. In t.is paper we present.a new fast.converging series for . Applicat.ons of t.e series include t.e comput.t.on of t.e and recursive comput.t.on of , and generally . We discuss on t.e product.on of irrat.onal number sequences e.g. for encrypt.on coding and zet. funct.on maps for analysis and synt.esis of log-t.me sampled signals.

关键词： Riemann Zet. Funct.on Converging Series Number t.eory Crypt.graphy Signal Processing

Accelerat.d Series for Riemann Zet. Funct.on at.Odd Int.ger Argument.

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Open Journal of Discret. Mat.emat.cs 2013年第1期3卷 18-20页

作者： juuso t. olkkonen Hannu olkkonen Depart.ent.of Applied Physics University of Eastern Finland Kuopio Finland Vt. t.chnical Research Cent.e of Finland Espoo Finland

Riemann zet. funct.on is an import.nt.t.ol in signal analysis and number t.eory. Applicat.ons of t.e zet. funct.on include e.g. t.e generat.on of irrat.onal and prime numbers. In t.is work we present.a new accelerat.d series for Riemann zet. funct.on. As an applicat.on we describe t.e recursive algorit.m for comput.t.on of t.e zet. funct.on at.odd int.ger argument..

关键词： Riemann Zet. Funct.on Converging Series Number t.eory Crypt.graphy Signal Processing Compressive Sensing

Comput.t.on of Hilbert.t.ansform via Discret. Cosine t.ansform

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Journal of Signal and Informat.on Processing 2010年第1期1卷 18-23页

作者： Hannu olkkonen Peit.a Pesola juuso t. olkkonen 不详

Hilbert.t.ansform (Ht. is an import.nt.t.ol in const.uct.ng analyt.c signals for various purposes, such as envelope and inst.nt.neous frequency analysis, amplit.de modulat.on, shift.invariant.wavelet.analysis and Hilbert.Huang decomposit.on. In t.is work we int.oduce a met.od for comput.t.on of Ht.based on t.e discret. cosine t.ansform (DCt.. We show t.at.t.e Hilbert.t.ansformed signal can be obt.ined by replacing t.e cosine kernel in inverse DCt.by t.e sine kernel. We describe a FFt.based met.od for t.e comput.t.on of Ht.and t.e analyt.c signal. We show t.e usefulness of t.e proposed met.od in mechanical vibrat.on and ult.asonic echo and t.ansmission measurement..

关键词： Hilbert t.ansform Analyt.c Signal Envelope Analysis FFt

Reconst.uct.on of UWB Impulse t.ain by Parallel Sampling of Cascaded Ident.cal RC Filt.rs

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Wireless Engineering and t.chnology 2013年第2期4卷 71-76页

作者： Hannu olkkonen Simo Aht.ainen Kari Jarvinen juuso t. olkkonen Depart.ent.of Applied Physics University of Eastern Finland Kuopio Finland Vt. t.chnical Research Cent.e of Finland Espoo Finland

In t.is framework we present.a new met.od for measurement.of t.e UWB impulse t.ain based on t.e parallel sampling of t.e cascaded ident.cal RC filt.rs. We show t.at.t.e amplit.des and t.me locat.ons of p sequent.al impulses can be reconst.uct.d from simult.neous measurement.of t.e out.ut. from 2p cascaded ident.cal RC filt.rs. t.e parallel sampling scheme has a wide range of applicat.ons including t.e det.ct.on of t.e ult.a wideband (UWB) impulses. Due t. ident.cal analog RC filt.rs and buffer amplifiers, t.e parallel sampling scheme is flexible t. implement.in VLSI applicat.ons.

关键词： Impulse t.ain Pulse Sequence UWB SVD