- Article

Tarczynski, A. and Allay, N. 2004. Spectral analysis of randomly sampled signals: suppression of aliasing and sampler jitter. *IEEE Transactions on Signal Processing.* 52 (12), pp. 3324-3334. doi:10.1109/TSP.2004.837436

Title | Spectral analysis of randomly sampled signals: suppression of aliasing and sampler jitter |
---|---|

Authors | Tarczynski, A. and Allay, N. |

Abstract | Nonuniform sampling can facilitate digital alias-free signal processing (DASP), i.e., digital signal processing that is not affected by aliasing. This paper presents two DASP approaches for spectrum estimation of continuous-time signals. The proposed algorithms, named the weighted sample (WS) and weighted probability (WP) density functions, respectively, utilize random sampling to suppress aliasing. Both methods produce unbiased estimators of the signal spectrum. To achieve this effect, the computational procedure for each method has been suitably matched with the probability density function characterising the pseudorandom generators of the sampling instants. Both proposed methods are analyzed, and the qualities of the estimators they produce have been compared with each other. Although none of the proposed spectrum estimators is universally better than the other one, it has been shown that in practical cases, the WP estimator produces generally smaller errors than those obtained from WS estimation. A practical limitation of the approaches caused by the sampling-instant jitter is also studied. It has been proven that in the presence of jitter, the theoretically infinite bandwidths of WS and WP signal analyses are limited. The maximum frequency up to which these analyses can be performed is inversely proportional to the size of the jitter. |

Keywords | Alias-free estimation, Fourier transform, nonuniform sampling, sampling methods, spectral analysis |

Journal | IEEE Transactions on Signal Processing |

Journal citation | 52 (12), pp. 3324-3334 |

ISSN | 1053-587X |

Year | Dec 2004 |

Digital Object Identifier (DOI) | doi:10.1109/TSP.2004.837436 |

Publication dates | |

Published | Dec 2004 |

File |

The Impact of Cultural Familiarity on Students’ Social Media Usage in Higher Education

Tarczynski, A., Al-shaikhli, D., Jin, L., Porter, A., Ibragimov, D. and Shpirko, M. 2019. The Impact of Cultural Familiarity on Students’ Social Media Usage in Higher Education. *18th European Conference on e-Learning ECEL 2019.* Aalborg University Copenhagen, Denmark 07 - 08 Nov 2019 Academic Conferences and Publishing International Limited.

Comparison Between Uniform and Nonuniform Interpolation Techniques for Digital Alias-free FIR Filtering

Darawsheh, H. and Tarczynski, A. 2019. Comparison Between Uniform and Nonuniform Interpolation Techniques for Digital Alias-free FIR Filtering. Hidoussi, F. (ed.) *International Conference on Digital Image & Signal Processing (DISP’19).* St Hugh's College, Oxford University, United Kingdom 29 - 30 Apr 2019

High-Order Hybrid Stratified Sampling: Fast Uniform-Convergence Fourier Transform Estimation

Al-Ani, M., Tarczynski, A. and Ahmad, B.I. 2018. High-Order Hybrid Stratified Sampling: Fast Uniform-Convergence Fourier Transform Estimation. *52nd Asilomar Conference on Signals, Systems, and Computers.* Asilomar Hotel & Conference Grounds, Pacific Grove, CA 28 - 31 Oct 2018 IEEE . doi:10.1109/ACSSC.2018.8645361

Filtering Nonuniformly Sampled Grid-Based Signals

Darawsheh, H. Y. and Tarczynski, A. 2018. Filtering Nonuniformly Sampled Grid-Based Signals. *2018 4th International Conference on Frontiers of Signal Processing (ICFSP 2018).* Poitiers, France 24 - 27 Sep 2018 IEEE . doi:10.1109/ICFSP.2018.8552053

Miniaturised Inkjet-printed Quadrature Hybrid Couplers for Multiband Wireless Systems

Olukoya, O., Tarczynski, A. and Budimir, D. 2017. Miniaturised Inkjet-printed Quadrature Hybrid Couplers for Multiband Wireless Systems. *2017 IEEE AP-S Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting.* San Diego, California, USA 09 - 14 Jul 2017 IEEE . doi:10.1109/USNC-URSI.2017.8074908

Design of Monopole Antennas for UWB Applications

Ahmad, W., Tarczynski, A. and Budimir, D. 2017. Design of Monopole Antennas for UWB Applications. *2017 IEEE AP-S Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS2017).* San Diego, California, USA 09 - 14 Jul 2017 IEEE . doi:10.1109/APUSNCURSINRSM.2017.8073204

Estimation of Fourier Transform Using Alias-free Hybrid-Stratified Sampling

Tarczynski, A. and Ahmad, B.I. 2016. Estimation of Fourier Transform Using Alias-free Hybrid-Stratified Sampling. *IEEE Transactions on Signal Processing.* 54 (12), pp. 3065 - 3076. doi:10.1109/TSP.2016.2540602

A Novel Sub-Nyquist Fourier Transform Estimator Based on Alias-free Hybrid Stratified Sampling

Ahmad, B.I. and Tarczynski, A. 2016. A Novel Sub-Nyquist Fourier Transform Estimator Based on Alias-free Hybrid Stratified Sampling. *The 41st IEEE International Conference on Acoustics, Speech and Signal Processing.* Shanghai, China 20 - 25 Mar 2016 IEEE . doi:10.1109/ICASSP.2016.7472523

Non-compressive wideband spectrum sensing with sub-nyquist sampling rates

Al-Ani, M., Ahmad, B.I. and Tarczynski, A. 2013. Non-compressive wideband spectrum sensing with sub-nyquist sampling rates. in: 2013 Asilomar Conference on Signals, Systems and Computers, 3-6 Nov. 2013, Pacific Grove, CA, USA IEEE . pp. 1483-1487

Compressive and non-compressive reliable wideband spectrum sensing at sub-nyquist rates

Ahmad, B.I., Al-Ani, M., Tarczynski, A., Dai, W. and Ling, C. 2013. Compressive and non-compressive reliable wideband spectrum sensing at sub-nyquist rates. *European Signal Processing Conference EUSIPCO-2013.* Marrakech, Morocco 9-13 Sept 2013

Evaluation of Fourier transform estimation schemes of multidimensional signals using random sampling

Al-Ani, M. and Tarczynski, A. 2012. Evaluation of Fourier transform estimation schemes of multidimensional signals using random sampling. *Signal Processing.* 92 (10), pp. 2484-2496. doi:10.1016/j.sigpro.2012.03.012

Efficient multidimensional sampling scheme for Fourier transform estimation

Al-Ani, M. and Tarczynski, A. 2012. Efficient multidimensional sampling scheme for Fourier transform estimation. *ISCAS 2012.* Seoul, Korea 19th to 23rd May 2012 IEEE . pp. 3210-3213 doi:10.1109/ISCAS.2012.6272007

Spectral analysis of stratified sampling: a means to perform efficient multiband spectrum sensing

Ahmad, B.I. and Tarczynski, A. 2012. Spectral analysis of stratified sampling: a means to perform efficient multiband spectrum sensing. *IEEE Transactions on Wireless Communications.* 11 (1), pp. 178-187. doi:10.1109/TWC.2011.111611.102278

A SARS method for reliable spectrum sensing in multiband communication systems

Ahmad, B.I. and Tarczynski, A. 2011. A SARS method for reliable spectrum sensing in multiband communication systems. *IEEE Transactions on Signal Processing.* 59 (12), pp. 6008-6020. doi:10.1109/TSP.2011.2165060

Folded substrate integrated waveguide cross-coupled filters with negative coupling structure for wireless systems

Glubokov, O., Nagandiram, S., Tarczynski, A. and Budimir, D. 2011. Folded substrate integrated waveguide cross-coupled filters with negative coupling structure for wireless systems. *Microwave and Optical Technology Letters.* 53 (11), pp. 2521-2526. doi:10.1002/mop.2634

Robust estimation of nonlinear model coefficients for wireless power amplifiers

Vaskovic, M., Djurovic, Z., Tarczynski, A. and Budimir, D. 2011. Robust estimation of nonlinear model coefficients for wireless power amplifiers. *The 10th IEEE International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services (TELSIKS 2011).* Nis, Serbia. 5-8 October 2011 pp. 222-225 doi:10.1109/TELSKS.2011.6112037

Wideband spectrum sensing technique based on random sampling on grid: Achieving lower sampling rates

Ahmad, B.I. and Tarczynski, A. 2011. Wideband spectrum sensing technique based on random sampling on grid: Achieving lower sampling rates. *Digital Signal Processing.* 21 (3), pp. 466-476. doi:10.1016/j.dsp.2010.12.001

The effect of cyclostationarity on a DASP-based spectrum sensing method

Tarczynski, A. and Ahmad, B.I. 2011. The effect of cyclostationarity on a DASP-based spectrum sensing method. *9th International Conference on Sampling Theory and Applications SAMPTA'2011.* Nanyang Technological University, Singapore 02 - 06 May 2011

Substrate integrated waveguide cross-coupled filters for wireless applications

Glubokov, O., Nagandiram, S., Tarczynski, A. and Budimir, D. 2011. Substrate integrated waveguide cross-coupled filters for wireless applications. *IEEE International Symposium on Antennas and Propogation (AP-S) and 2011 USNC/CNC/URSI National Radio Science Meeting.* Spokane, Washington, USA 03 - 08 Jul 2011

A novel Fourier transform estimation method using random sampling

Al-Ani, M., Tarczynski, A. and Ahmad, B.I. 2011. A novel Fourier transform estimation method using random sampling. in: 19th European Signal Processing Conference, EUSIPCO-2011, 29 August - 02 September 2011, Barcelona, Spain EUSIPCO. pp. 859-863

The effect of missing samples on quality of spectral analysis

Al-Ani, M., Tarczynski, A. and Ahmad, B.I. 2011. The effect of missing samples on quality of spectral analysis. *9th International Conference on Sampling Theory and Applications SAMPTA'2011.* Nanyang Technological University, Singapore 02 - 06 May 2011

Equidistributed sampling sequences for spectral analysis

Al-Ani, M. and Tarczynski, A. 2011. Equidistributed sampling sequences for spectral analysis. in: 2011 Conference record of the forty fifth ASILOMAR conference on signals, systems and computers IEEE . pp. 1086-1089

A SARS multiband spectrum sensing method in wideband communication systems using RSG

Ahmad, B.I., Tarczynski, A. and Al-Ani, M. 2011. A SARS multiband spectrum sensing method in wideband communication systems using RSG. in: 19th European Signal Processing Conference, EUSIPCO-2011, 29 August - 02 September 2011, Barcelona, Spain EUSIPCO. pp. 859-863

A DASP multiband spectrum sensing method based on total random sampling on Grid without replacement

Ahmad, B.I., Tarczynski, A. and Al-Ani, M. 2011. A DASP multiband spectrum sensing method based on total random sampling on Grid without replacement. *9th International Conference on Sampling Theory and Applications SAMPTA'2011.* Nanyang Technological University, Singapore 02 - 06 May 2011

A spectrum sensing method based on stratified sampling

Ahmad, B.I. and Tarczynski, A. 2011. A spectrum sensing method based on stratified sampling. in: Conference Proceedings of IEEE International Symposium on Circuits and Systems ISCAS’2011, May 15th to 18th, Rio de Janeiro, Brazil IEEE . pp. 402-405

On digital filtering of band-limited signals using lower sampling rates

Tzvetkov, K. and Tarczynski, A. 2010. On digital filtering of band-limited signals using lower sampling rates. *Journal of Computers.* 5 (10), pp. 1486-1493. doi:10.4304/jcp.5.10.1486-1493

Reliable wideband multichannel spectrum sensing using
randomized sampling schemes

Ahmad, B.I. and Tarczynski, A. 2010. Reliable wideband multichannel spectrum sensing using
randomized sampling schemes. *Signal Processing.* 90 (7), pp. 2232-2242. doi:10.1016/j.sigpro.2010.02.006

A DASP approach to wideband multichannel spectrum sensing

Ahmad, B.I. and Tarczynski, A. 2010. A DASP approach to wideband multichannel spectrum sensing. *18th European Signal Processing Conference (EUSIPCO-2010).* Aalborg, Denmark 23-27 August 2010 pp. 865-869

Predictive modeling in food mycology using adaptive neuro-fuzzy systems

Amina, M., Kodogiannis, V. and Tarczynski, A. 2009. Predictive modeling in food mycology using adaptive neuro-fuzzy systems. in: IEEE/ACS International Conference on Computer Systems and Applications (AICCSA 2009) IEEE . pp. 821-828

Spectrum sensing in multichannel communication systems using randomized sampling schemes

Ahmad, B.I. and Tarczynski, A. 2009. Spectrum sensing in multichannel communication systems using randomized sampling schemes. in: 17th European Signal Processing Conference (EUSIPCO 2009), Glasgow, Scotland, August 24-28, 2009 EUSIPCO. pp. 1690-1694

Artificial Odor Discrimination System using electronic nose and neural networks for the identification of urinary tract infection

Kodogiannis, V., Lygouras, J.N., Tarczynski, A. and Chowdrey, H.S. 2008. Artificial Odor Discrimination System using electronic nose and neural networks for the identification of urinary tract infection. *IEEE Transactions on Information Technology in Biomedicine.* 12 (6), pp. 707-713. doi:10.1109/TITB.2008.917928

Application of Grid computing for designing a class of optimal periodic nonuniform sampling sequences

Tarczynski, A., Kiss, T., Terstyanszky, G., Delaitre, T., Qu, D. and Winter, S. 2008. Application of Grid computing for designing a class of optimal periodic nonuniform sampling sequences. *Future Generation Computer Systems.* 24 (7), pp. 763-773. doi:10.1016/j.future.2008.02.005

Digital filtering of band-limited signals using Periodic Nonuniform Sampling

Tzvetkov, K. and Tarczynski, A. 2008. Digital filtering of band-limited signals using Periodic Nonuniform Sampling. in: 2nd International Conference on Signals, Circuits and Systems, 2008. SCS 2008 IEEE . pp. 1-6

Evaluation of several reconstruction methods of bandlimited signals

Ahmad, B.I. and Tarczynski, A. 2008. Evaluation of several reconstruction methods of bandlimited signals. in: 2nd International Conference on Signals, Circuits and Systems, 2008. SCS 2008 IEEE . pp. 1-5

Filtering of multiband signals using periodic nonuniform sampling, a sub-Landau rate sampling approach

Tzvetkov, K. and Tarczynski, A. 2007. Filtering of multiband signals using periodic nonuniform sampling, a sub-Landau rate sampling approach. *2007 Workshop on Digital Alias-free Signal Processing.* London 17 Apr 2007 pp. 14-18

On filtering multiband signals sampled at sub-Landau rates

Tarczynski, A., Samsonowicz, J., Hong, Y.M. and Tzvetkov, K. 2007. On filtering multiband signals sampled at sub-Landau rates. *SAMPTA'07.* Thessaloniki, Greece 01 - 05 Jun 2007

A novel spectral estimation method by using periodic nonuniform sampling

Qu, D. and Tarczynski, A. 2007. A novel spectral estimation method by using periodic nonuniform sampling. in: Conference Record of The Forty-First Asilomar Conference on Signals, Systems & Computers, November 4-7 2007, Pacific Grove, California Los Alamitos, USA IEEE . pp. 1134-1138

Alias-free spectrum estimation of periodically sampled random signals

Qu, D. and Tarczynski, A. 2007. Alias-free spectrum estimation of periodically sampled random signals. *2007 Workshop on Digital Alias-free Signal Processing.* London 17 Apr 2007 pp. 19-23

Sub-Landau sampling and design of PNS

Hong, Y.M., Samsonowicz, J., Tarczynski, A. and Tzvetkov, K. 2007. Sub-Landau sampling and design of PNS. *Third International Conference on Computational Harmonic Analysis.* Fudan University, Shanghai, China 18 - 22 Jun 2007

Reliability of signal reconstruction from arbitrarily distributed noisy samples

Tarczynski, A. and Qu, D. 2006. Reliability of signal reconstruction from arbitrarily distributed noisy samples. *WSEAS Transactions on Signal Processing.* 2 (7), pp. 925-932.

Quality assessment of reconstructing signals from arbitrarily distributed samples

Tarczynski, A. and Qu, D. 2006. Quality assessment of reconstructing signals from arbitrarily distributed samples. in: Proceedings of the 10th International Conference on Systems WSEAS.

Application of grid computing for designing a class of optimal periodic non-uniform sampling sequences

Tarczynski, A., Kiss, T., Qu, D., Terstyanszky, G., Delaitre, T. and Winter, S. 2006. Application of grid computing for designing a class of optimal periodic non-uniform sampling sequences. *15th IEEE International Symposium on High Performance Distributed Computing, HPDC'15.* Paris, France 19 - 23 Jun 2006 pp. 86-94

Weighted PNS sequences for digital alias-free processing signals

Qu, D. and Tarczynski, A. 2006. Weighted PNS sequences for digital alias-free processing signals. in: Proceedings of the 10th International Conference on Systems WSEAS.

Analysis and design of WPNS sequences for digital alias-free signal processing

Qu, D. and Tarczynski, A. 2006. Analysis and design of WPNS sequences for digital alias-free signal processing. *WSEAS Transactions on Signal Processing.* 2 (7), pp. 933-940.

Evaluation of several random sampling schemes for DASP applications

Tarczynski, A. and Tzvetkov, K. 2005. Evaluation of several random sampling schemes for DASP applications. *SAMPTA'2005.* Samsun, Turkey 10 - 15 Jul 2005

Optimal random sampling for spectrum estimation in DASP applications

Tarczynski, A. and Qu, D. 2005. Optimal random sampling for spectrum estimation in DASP applications. *International Journal of Applied Mathematics and Computer Science.* 15 (4), pp. 463-469.

Optimal periodic sampling sequences for nearly-alias-free digital signal processing

Tarczynski, A. and Qu, D. 2005. Optimal periodic sampling sequences for nearly-alias-free digital signal processing. in: IEEE International Symposium on Circuits and Systems, ISCAS 2005 IEEE .

Direct digital recovery of modulated signals from nonuniformly distributed samples

Allay, N. and Tarczynski, A. 2005. Direct digital recovery of modulated signals from nonuniformly distributed samples. *Colloque International, TELECOM’2005 & 4èmes Journées Franco- Maghrébines des Micro-ondes et leurs Applications (JFMMA).* Rabat, Maroc 23 - 25 Mar 2005 pp. 535-538

Classification of telephone signals with use of artificial neural networks

Tarczynski, A., Skorkowski, G., Bushchenko, Y. and Igbiedion, I. 2004. Classification of telephone signals with use of artificial neural networks. in: SCI 2004 Proceedings [CD-ROM] Orlando, Florida International Institute of Informatics and Systemics.

Design of optimal IIR filters in reduced dimensionality parameter spaces

Tarczynski, A. 2004. Design of optimal IIR filters in reduced dimensionality parameter spaces. in: 12th European Signal Processing Conference (EUSIPCO'2004), September 6-10, 2004, Vienna, Austria European Association for Signal, Speech and Image Processing. pp. 113-116

Reconstruction of nonuniformly sampled periodic signals

Tarczynski, A., Allay, N. and Qu, D. 2003. Reconstruction of nonuniformly sampled periodic signals. *SAMPTA'03.* Strobl, Austria 26-30 May 2003

Digital alias-free spectrum estimation of randomly sampled signals

Tarczynski, A. and Allay, N. 2003. Digital alias-free spectrum estimation of randomly sampled signals. in: 7th World Multiconference on Systemics, Cybernetics and Informatics (SCIM-'03), Orlando, Florida, USA, 27-30 July 2003 International Institute of Informatics and Systemics.

Spectrum estimation of nonuniformly sampled signals

Tarczynski, A. 2002. Spectrum estimation of nonuniformly sampled signals. in: 14th International Conference on Digital Signal Processing, DSP 2002, Santorini, Greece, 1-3 July 2002 USA IEEE .

Signal reconstruction from finite sets of arbitrarily distributed samples

Tarczynski, A. 2002. Signal reconstruction from finite sets of arbitrarily distributed samples. *8th Biennial Baltic Electronics Conference (BEC2002).* Tallinn, Estonia 06-09 Oct 2002

Problem dimensionality reduction in design of optimal IIR filters

Tarczynski, A. 2002. Problem dimensionality reduction in design of optimal IIR filters. in: IEEE International Symposium on Circuits and Systems, ISCAS 2002 USA IEEE .

Spectral magnitude and phase estimation of nonuniformly sampled modulated signals

Allay, N. and Tarczynski, A. 2002. Spectral magnitude and phase estimation of nonuniformly sampled modulated signals. in: Proceedings of the 14th International Conference on Digital Signal Processing, (DSP 2002), Santorini, Greece, 1-3 July 2002 Canada Acta Press. pp. 795-798

A WISE method for designing IIR filters

Tarczynski, A., Cain, G.D., Hermanowicz, E. and Rojewski, M. 2001. A WISE method for designing IIR filters. *IEEE Transactions on Signal Processing.* 49 (7), pp. 1421-1432. doi:10.1109/78.928695

On an instantaneous frequency estimator with FIR filters having maximally flat frequency response error magnitude

Hermanowicz, E., Rojewski, M., Cain, G.D. and Tarczynski, A. 2001. On an instantaneous frequency estimator with FIR filters having maximally flat frequency response error magnitude. *Signal Processing.* 81 (7), pp. 1491-1501. doi:10.1016/S0165-1684(01)00046-9

FIR filters for systems with input clock jitter

Tarczynski, A. 2001. FIR filters for systems with input clock jitter. in: 2001 IEEE International Symposium on Circuits and Systems, (ISCAS 2001) USA IEEE .

CTD2: a prototype multiprocessor for signal processing applications

Tarczynski, A. and Winter, S. 1985. CTD2: a prototype multiprocessor for signal processing applications. in: Luque, E. (ed.) Proceedings of the ISMM International Symposium on Mini and Microcomputers and their Applications, Sant Feliu de Guixols, Spain Universidad Autonoma de Barcelona. pp. 149-152

**Permalink - **https://westminsterresearch.westminster.ac.uk/item/92z4q/spectral-analysis-of-randomly-sampled-signals-suppression-of-aliasing-and-sampler-jitter