The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Spectral Correlation of Modulated Signals: Part I--Analog Modulation
Abstract
The importance of the concept of cyclostationarity in design and analysis of signal detectors, synchronizers, and extractors in communication systems is briefly discussed, and the central role of spectral correlation, in the characterization of random processes that are cyclostationary in the wide sense, is explained. A spectral correlation function that is a generalization of the power spectral density function is described, and a corresponding generalization of the Wiener-Khinchine relation and several other fundamental spectral correlation relations also are described. Explicit formulas for the spectral correlation function for various types of analog-modulated signals are derived. This includes pulse and carrier amplitude modulation, quadrature amplitude carrier modulation, and phase and frequency carrier modulation. To illustrate the differing spectral correlation characteristics of different modulation types, the magnitudes of the spectral correlation functions are graphed or described in graphical terms as the heights of surfaces above a bifrequency plane.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Probability, Random Variables, and Stochastic Processes.
Abrahams, J., & Papoulis, A. (1984) · Journal of the American Statistical Association · doi:10.2307/2288754 · Cited by 16,226
Topics in the Theory of Random Noise
Medhurst, R. G. (1969) · Electronics and Power · doi:10.1049/ep.1969.0039 · Cited by 2,049
Wiener, N. (1930) · Acta Mathematica · doi:10.1007/bf02546511 · Cited by 1,765
Statistical Spectral Analysis—A Nonprobabilistic Theory
Gardner, W. A., & Robinson, E. A. (1989) · Journal of Dynamic Systems, Measurement, and Control · doi:10.1115/1.3153112 · Cited by 617
Self-citationSignal interception: a unifying theoretical framework for feature detection
Gardner, W. A. (1988) · IEEE Transactions on Communications · doi:10.1109/26.3769 · Cited by 609
Self-citationCharacterization of cyclostationary random signal processes
Gardner, W., & Franks, L. (1975) · IEEE Transactions on Information Theory · doi:10.1109/tit.1975.1055338 · Cited by 422
Self-citationSpectral Correlation of Modulated Signals: Part II--Digital Modulation
Gardner, W., Brown, W., & Chen, C.-K. (1987) · IEEE Transactions on Communications · doi:10.1109/tcom.1987.1096816 · Cited by 408
Self-citationThe spectral correlation theory of cyclostationary time-series
Gardner, W. A. (1986) · Signal Processing · doi:10.1016/0165-1684(86)90092-7 · Cited by 299
Self-citationJournal of Multivariate Analysis
Krishnaiah, P. R. (2005) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess1313 · Cited by 187
PERIODIC AUTOREGRESSIVE‐MOVING AVERAGE (PARMA) MODELING WITH APPLICATIONS TO WATER RESOURCES1
Vecchia, A. V. (1985) · JAWRA Journal of the American Water Resources Association · doi:10.1111/j.1752-1688.1985.tb00167.x · Cited by 183
Cited by
Eigenvalue-based spectrum sensing algorithms for cognitive radio
Zeng, Y., & Liang, Y.-C. (2009) · IEEE Transactions on Communications · doi:10.1109/tcomm.2009.06.070402 · Cited by 1,258
Deep Learning Models for Wireless Signal Classification With Distributed Low-Cost Spectrum Sensors
Rajendran, S., Meert, W., Giustiniano, D., Lenders, V., & Pollin, S. (2018) · IEEE Transactions on Cognitive Communications and Networking · doi:10.1109/tccn.2018.2835460 · Cited by 868
A new approach to signal classification using spectral correlation and neural networks
Fehske, A., Gaeddert, J., & Reed, J. H. (2005) · First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005. · doi:10.1109/dyspan.2005.1542629 · Cited by 447
Spectral Correlation of Modulated Signals: Part II--Digital Modulation
Gardner, W., Brown, W., & Chen, C.-K. (1987) · IEEE Transactions on Communications · doi:10.1109/tcom.1987.1096816 · Cited by 408
Self-citationMaximum-Minimum Eigenvalue Detection for Cognitive Radio
Zeng, Y., & Liang, Y.-C. (2007) · 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications · doi:10.1109/pimrc.2007.4394211 · Cited by 327
Metadata
- Authors
- Gardner, W.
- Venue
- IEEE Transactions on Communications
- Published
- 1987-06
- Volume
- 35
- Issue
- 6
- Pages
- 584-594
- ISSN
- 0096-2244 (ISSN-L)
- OpenAlex
- W2048101164
- Cited by
- 302
- References
- 11
- FWCI
- 5.11
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Spectral Correlation of Modulated Signals: Part I--Analog Modulation. https://app.cochat.ai/papers/10.1109/tcom.1987.1096820
- The paper
- Gardner, W. (1987). Spectral Correlation of Modulated Signals: Part I--Analog Modulation. IEEE Transactions on Communications. https://doi.org/10.1109/tcom.1987.1096820
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.