A Method For Fine Resolution Frequency Estimation From Three DFT Samples

The parameter estimation of a complex exponential waveform observed under white noise is typically tackled in two stages. In the first stage, a coarse frequency estimate is found by the application of an N-point DFT to the input of length N. In the second stage, a fine search around the peak determined in the first stage is conducted. The method proposed in this paper presents a simpler alternative. The method suggests a nonlinear relation involving three DFT samples already calculated in the first stage to produce a real valued, fine resolution frequency estimate. The estimator approaches Jacobsen's estimator for large N and presents a bias correction which is especially important for small and medium values of N.


A fine-resolution frequency estimator using an arbitrary number of DFT coefficients
Orguner, Umut; Candan, Çağatay (2014-12-01)
A method for the frequency estimation of complex exponential signals observed under additive white Gaussian noise is presented. Unlike competing methods based on relatively few Discrete Fourier Transform (DFT) samples, the presented technique can generate a frequency estimate by fusing the information from all DFT samples. The estimator is shown to follow the Cramer-Rao bound with a smaller signal-to-noise ratio (SNR) gap than the competing estimators at high SNR.
An efficient method for fundamental frequency estimation of periodic signals with harmonics
Çelebi, Utku; Candan, Çağatay; Department of Electrical and Electronics Engineering (2020-8)
A computationally efficient method for the fundamental frequency estimation of a group of harmonically related complex sinusoids is given. To this aim, an efficient frequency estimation method for single tone complex sinusoids is adapted to the harmonic frequency estimation problem. The main idea of the suggested Fast Fourier Transform based method is the frequency estimation of individual complex sinusoids after the removal of the interference due to other harmonics. After several iterations of estimation ...
A novel two-step pseudo-response based adaptive harmonic balance method for dynamic analysis of nonlinear structures
Sert, Onur; Ciğeroğlu, Ender (Elsevier BV, 2019-09-01)
Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic equations. System response can be obtained by solving this nonlinear equation set in terms of the unknown Fourier coefficients. The accuracy of the solution is great...
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We present a novel receiver structure for the detection and parameter estimation of linear frequency modulated signals. The proposed structure is based on the relations between the fractional Fourier transform and the ambiguity function. It has been shown that the optimal ML receiver, which is the peak detector in the ambiguity plane, can be implemented at a reduced search complexity with the proposed method. The proposed method uses two 1-dimensional search operations in two different fractional Fourier do...
Prospects of FMCW-based frequency diverse array radar
Cetiner, Ramazan; Cetintepe, Cagri; Demir, Şimşek; Hizal, Altunkan (2019-11-01)
The linear frequency modulated (LFM) frequency modulated continuous wave (FMCW)-based frequency diverse array (FDA) radar concept is investigated in detail. The radar operates as a linear pulsed FMCW/FDA in the transmission (TX) mode while it operates as a pulsed FMCW/phased array (PA) in the receiving mode. The issues such as low signal-to-noise ratio (SNR) of FDA, the time-angle scanning and time-range ambiguities are studied. It is shown that the local instantaneous frequency bandwidth is much smaller th...
Citation Formats
Ç. Candan, “A Method For Fine Resolution Frequency Estimation From Three DFT Samples,” IEEE SIGNAL PROCESSING LETTERS, pp. 351–354, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39671.