Cambridge, MA, United States
Cambridge, MA, United States

Time filter

Source Type

Willsey M.S.,Mit Research Laboratory Of Electronics | Cuomo K.M.,Lincoln Laboratory | Oppenheim A.V.,Mit Research Laboratory Of Electronics
IEEE Transactions on Aerospace and Electronic Systems | Year: 2011

Many radar applications, such as those involving multiple-input, multiple-output (MIMO) radar, require sets of waveforms that are orthogonal, or nearly orthogonal. As shown in the work presented here, a set of nearly orthogonal waveforms with a high cardinality can be generated using chaotic systems, and this set performs comparably to other waveform sets used in pulse compression radar systems. Specifically, the nearly orthogonal waveforms from chaotic systems are shown to possess many desirable radar properties including a compact spectrum, low range sidelobes, and an average transmit power within a few dB of peak power. Moreover, these waveforms can be generated at essentially any practical time length and bandwidth. Since these waveforms are generated from a deterministic process, each waveform can be represented with a small number of system parameters. Additionally, assuming these waveforms possess a large time-bandwidth product, a high number of nearly orthogonal chaotic waveforms exist for a given time and bandwidth. Thus the proposed generation procedure can potentially be used to generate a new transmit waveform on each pulse. © 2006 IEEE.


Willsey M.S.,Mit Research Laboratory Of Electronics | Cuomo K.M.,Lincoln Laboratory | Oppenheim A.V.,Mit Research Laboratory Of Electronics
International Journal of Bifurcation and Chaos | Year: 2011

Radar waveforms based on chaotic systems have occasionally been suggested for a variety of radar applications. In this paper, radar waveforms are constructed with solutions from a particular chaotic system, the Lorenz system, and are called Lorenz waveforms. Waveform properties, which include the peak autocorrelation function side-lobe and the transmit power level, are related to the system parameters of the Lorenz system. Additionally, scaling the system parameters is shown to correspond to an approximate time and amplitude scaling of Lorenz waveforms and also corresponds to scaling the waveform bandwidth. The Lorenz waveforms can be generated with arbitrary time lengths and bandwidths and each waveform can be represented with only a few system parameters. Furthermore, these waveforms can then be systematically improved to yield constant-envelope output waveforms with low autocorrelation function sidelobes and limited spectral leakage. © 2011 World Scientific Publishing Company.

Loading Mit Research Laboratory Of Electronics collaborators
Loading Mit Research Laboratory Of Electronics collaborators