On the Implementation of Optimal Receivers for LFM Signals using Fractional Fourier Transform

Download
2008-05-30
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 domains instead of a 2-dimensional search over the ambiguity plane. The performance of the method is illustrated with an example.

Suggestions

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...
On the detection of sinusoidal signals under sinusoidal interference
Balcı, Burak; Candan, Çağatay; Department of Electrical and Electronics Engineering (2010)
A complex exponential waveform embedded in white noise can be optimally detected by matched filtering which is equivalent to Discrete Fourier Transform (DFT). However, if the input includes multiple complex exponentials, the DFT processing is not optimal. The frequency spectrum of the complex exponential signal with finite observation interval is not impulse. The spectrum includes side-lobes called spectral leakage.Because of the strong side-lobes, weak components can be masked, or side-lobes can be interpr...
On the Eigenstructure of DFT Matrices
Candan, Çağatay (Institute of Electrical and Electronics Engineers (IEEE), 2011-03-01)
The discrete Fourier transform (DFT) not only enables fast implementation of the discrete convolution operation, which is critical for the efficient processing of analog signals through digital means, but it also represents a rich and beautiful analytical structure that is interesting on its own. A typical senior-level digital signal processing (DSP) course involves a fairly detailed treatment of DFT and a list of related topics, such as circular shift, correlation, convolution operations, and the connectio...
On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies
Hacıhabiboğlu, Hüseyin; Günel Kılıç, Banu (2008-01-01)
Digital waveguide mesh (DWM) models are numerical solvers for the wave equation in N-dimensions. They are used for obtaining the traveling-wave solution in practical acoustical modeling applications. Although unstructured meshes can be used with DWMs, regular mesh topologies are traditionally used due to their implementation simplicity. This letter discusses the accuracy of first-order approximations to numerical derivatives on more general unstructured mesh topologies. The results are applied to structured...
A Study on the Performance of a Complementary Auxiliary Antenna Pattern for Maisel Sidelobe Blanker
DINLER, Dogancan; Candan, Çağatay; KOC, Sencer (2018-04-27)
The problem of coupling between probability of target blanking (P-TB) and probability of blanking (P-B) in Maisel sidelobe blanker (SLB) is addressed and a complementary auxiliary antenna pattern is proposed for phased array radar systems. The numerical results indicate that the complementary pattern provides an improvement on P-TB and P-B especially for the cases where antennas have poor mainlobe-to-sidelobe ratio.
Citation Formats
Ç. Candan, “On the Implementation of Optimal Receivers for LFM Signals using Fractional Fourier Transform,” 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47962.