Extension of the Capon's spectral estimator to time-frequency analysis and to the analysis of polynomial-phase signals

Ozgen M.

SIGNAL PROCESSING, cilt.83, sa.3, ss.575-592, 2003 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0165-1684(02)00487-5
  • Dergi Adı: SIGNAL PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.575-592
  • Anahtar Kelimeler: time-frequency representations, Capon's minimum-variance spectral estimator, spectrogram, Wigner distribution, polynomial-phase signals, polynomial spectrogram, direct-sequence spread-spectrum communications, interference excision, Notch filtering, ORDER AMBIGUITY FUNCTION, INSTANTANEOUS FREQUENCY, WIGNER DISTRIBUTION, FM SIGNALS, DISTRIBUTIONS, TOOL
  • Anadolu Üniversitesi Adresli: Hayır

Özet

Incorporation of the linear time-varying filter and, its Zadeh's generalized transfer function concepts to the derivation of the Capon's minimum-variance spectral estimator leads to a new, bilinear, cross-term suppressed and alias-free time-frequency representation (TFR) that has a higher resolution than the spectrogram with the same window width. Time-variant autocorrelation function of the nonstationary signal of interest is employed in this proposed TFR. By adopting an approximation for time-variant autocorrelation functions, we obtain another new, bilinear, parameterized TFR related to the spectrogram, the frequency resolution of which can be adjusted by varying its parameter for a fixed window width. We compare resolution and cross-term suppression properties of these proposed TFR's with other basic bilinear TFR's, via simulations on synthesized signals. Then, by incorporating polynomial-phase kernel functions to the Capon's estimator, we propose new bilinear signal representations for the analysis of constant-Amplitude polynomial-phase signals and apply them to interference excision in direct-sequence spread-spectrum communications. (C) 2002 Elsevier Science B.V. All rights reserved.