Signal set design with constrained amplitude spectrum and specified time-bandwidth product

Chandran, G.; Jaffe, Jules S.

doi:10.1109/26.506389

Cited by 20 publications

(34 citation statements)

References 14 publications

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“…The choice of such waveforms critically affects the performance of a communication scheme and usually involves a compromise between system capacity, robustness to expected channel imperfections and various interferences, system delay, and transmitter and receiver complexity (Chandran and Jaffe, 1996;Chang, 1966;Davidson, Luo, and Wong, 2000;Lee and Messerschmitt, 1994;Shalash and Parhi, 1999). Originally, the multicarrier modulation technique was proposed by using a bank of analog Nyquist filters, which provides a set of continuous-time orthogonal waveforms.…”

Section: Introductionmentioning

confidence: 99%

Design of ODMA Digital Waveforms Using Non-Convex Optimization Methods

Zang

Nordholm

2005

Ann Oper Res

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This paper presents a new approach for the design of a set of orthogonal digital filters which can be used as message-carrying waveforms in orthogonality division multiple access (ODMA) communication systems. The filter set design problem is formulated as a constrained L 2 space optimization problem. For bandwidth efficiency, all the digital filters in the set are constrained to have approximately the same desired spectral shapes in a prescribed passband; To minimize intersymbol interference and co-channel interference, all the digital filters in the set are constrained to have low values of auto-correlation at nonzero translates of multiple symbol interval and low values of cross-correlation at all translates of multiple symbol interval. Methods for solving the proposed non-convex optimization problem are outlined. Numerical results are presented to illustrate the usefulness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Design of ODMA Digital Waveforms Using Non-Convex Optimization Methods

Zang

Nordholm

2005

Ann Oper Res

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“…While PN sequences have found widespread use in applications like spread-spectrum communications and ultra-wideband radar, these are not suitable for the applications that we consider in this paper because of their large bandwidth requirement [2]. Within the framework of continuous time waveforms, Chandran et al [3] have proposed a method for the construction of pulse waveforms that have a given timebandwidth product and have uniformly bounded CCFs. In the sequel we refer to these pulses as the quad-phase pulses.…”

Section: Introductionmentioning

confidence: 99%

Pulse Waveforms with a Correlation Criterion for Synthetic Aperture Imaging Systems

Sood

Xiao

2009

VTC Spring 2009 - IEEE 69th Vehicular Technology Conference

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We introduce a method for the synthesis of pulse waveforms that possess a given time-bandwidth product, have narrow auto-correlation functions, and simultaneously, small cross-correlation functions. Pulse sets with such characteristics are desirable in various contexts in communications and ranging applications: the narrow auto-correlation property provides noise-immunity and enhances temporal resolution, while small cross-correlations minimize mutual interference in multipleaccess systems. We leverage the energy concentration property of the prolate spheroidal wave functions to ensure small pairwise cross-correlations, and develop an iterative algorithm that enforces a desired shape on the auto-correlation functions of the resulting waveforms. The effectiveness of the method is illustrated with examples: the correlation functions of the pulses that we obtain show significant improvements over those of PN sequences, and of pulses obtained by a previously reported method.

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“…The design of bandwidth efficient orthogonal signal sets is an important element in modern multidimensional signaling and multiuser communication system design [1], [2], [3], [4]. Essentially, all multiple access techniques require that the messages corresponding to different data streams or different users be separated in some fashion so that they do not interfere with one another.…”

Section: Introductionmentioning

confidence: 99%

Waveform Set Design Using Hermite-Rodriguez Functions for CDMA Communications

Yusoff

Zang

2009

2009 International Conference on Signal Acquisition and Processing

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In this paper, we consider the waveform set design for CDMA communications using orthogonal Hermite-Rodriguez basis functions. The waveform set design problem is formulated as a constrained L 2 space optimization problem. For bandwidth efficiency, all the waveforms in the set are constrained to have approximately the same desired spectral shapes in a prescribed passband. To minimize intersymbol interference and co-channel interference, all the waveforms in the set are constrained to have low values of autocorrelation and cross-correlation. Numerical results are presented to illustrate the effectiveness of Hermite-Rodriguez functions and the usefulness of the design method to solve the waveform set design problem.

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Signal set design with constrained amplitude spectrum and specified time-bandwidth product

Cited by 20 publications

References 14 publications

Design of ODMA Digital Waveforms Using Non-Convex Optimization Methods

Design of ODMA Digital Waveforms Using Non-Convex Optimization Methods

Pulse Waveforms with a Correlation Criterion for Synthetic Aperture Imaging Systems

Waveform Set Design Using Hermite-Rodriguez Functions for CDMA Communications

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