Root Nyquist Pulses with an Energy Criterion

Sood, R.; Xiao, Han

doi:10.1109/icc.2007.450

Cited by 5 publications

(8 citation statements)

References 14 publications

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“…A detailed local and global analysis of (NLP) has been presented in [4], and conditions for the global optimality and uniqueness of a stationary point have been derived. It has been shown that all stationary points of (NLP) are eigenvectors of the affine combination A(λ) =H 0 + I i=1 λ iHi , where λ = [λ 1 , .…”

Section: Proposed Methodsmentioning

confidence: 99%

“…Furthermore, the optimal value of (NLP) is related to the largest eigenvalue σ 1 (λ) of A(λ) and it is shown that σ 1 (λ) is the appropriate dual function for (NLP). The approach taken in [4] is to solve the dual optimization problem, which is an unconstrained minimization of σ 1 (λ). It is pointed out that unlike general non-linear optimization problems, computation of the dual function in the above case poses no conceptual or computational difficulties.…”

Section: Proposed Methodsmentioning

confidence: 99%

“…In a previous work [4] the authors have presented a numerically efficient global optimization procedure for the design of root-Nyquist pulses with maximum spectral energy concentration. This paper extends the above method to the design of DS-CDMA chip waveforms that satisfy certain smoothness conditions on the phase and envelope of the transmit signal, and are optimal in terms of bandwidth occupancy of the power spectrum.…”

Section: A Previous Work and Our Contributionsmentioning

confidence: 99%

“…It is well known that pulse shaping in linear modulation schemes improves the spectral efficiency of the communication system [4]. This improvement is particularly important in DS-CDMA systems, since it allows the use of longer spreading codes for the same bandwidth requirement.…”

Section: Introductionmentioning

confidence: 99%

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DS-CDMA Chip Waveforms with Maximally Concentrated Spectra

Sood

Xiao²

2008

2008 IEEE International Conference on Communications

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We propose chip waveforms for essentially fullresponse signaling in DS-CDMA systems that employ offset quadrature modulation formats. The waveforms are optimal in the sense that for a given out of band power leakage, the transmit signal occupies the minimum inband power bandwidth. At the same time, certain smoothness conditions on the phase and envelope of the transmit signal in the time domain are satisfied. The performance of the respective modulation schemes is compared with that of conventional techniques including MSK and time-domain raised-cosine pulses. Numerical results indicate a significant gain in system capacity compared to conventional pulses, and near optimality with respect to interference rejection.

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Section: Proposed Methodsmentioning

confidence: 99%

Section: Proposed Methodsmentioning

confidence: 99%

Section: A Previous Work and Our Contributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

DS-CDMA Chip Waveforms with Maximally Concentrated Spectra

Sood

Xiao²

2008

2008 IEEE International Conference on Communications

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“…There exists a wealth of literature on design of pulses that maximize in-band energy [4,5,6] to mitigate the effect of ISI; however these pulses have been designed for the electrical channel. Halpern [7] proposed a design for finite duration Nyquist pulses for mean power constrained channels but not subject to amplitude constraints.…”

Section: Introductionmentioning

confidence: 99%

Bandwidth Efﬁcient Root Nyquist Pulses for Optical Intensity Channels

Fatima¹,

Muhammad²,

Raza³

2015

RADIOENGINEERING

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Abstract. Indoor diffuse optical intensity channels are bandwidth constrained due to the multiple reflected paths between the transmitter and the receiver which cause considerable inter-symbol interference (ISI). The transmitted signal amplitude is inherently non-negative, being a light intensity signal. All optical intensity root Nyquist pulses are timelimited to a single symbol interval which eliminates the possibility of finding bandlimited root Nyquist pulses. However, potential exists to design bandwidth efficient pulses. This paper investigates the modified hermite polynomial functions and prolate spheroidal wave functions as candidate waveforms for designing spectrally efficient optical pulses. These functions yield orthogonal pulses which have constant pulse duration irrespective of the order of the function, making them ideal for designing an ISI free pulse. Simulation results comparing the two pulses and challenges pertaining to their design and implementation are discussed.

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New SRRC receiver filter design with reduced number of filter taps for wireless communication systems

Kang

2018

IET Communications

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In wireless communication systems, it is well known that inter-symbol interference (ISI) can be avoided by using a pair of matched square-root-raised-cosine (SRRC) filters in the transmitter and receiver. In an effort to find methods which minimise the number of filter taps in the matched filter, numerous studies have been done. However, in practise, when the communication specification is fixed by the standard, it is not possible to change the coefficients of the transmit filter. In this study, the authors propose a new SRRC filter design with the reduced number of filter taps for a receiver of a wireless communication system. The proposed design utilises a recursive steepest-descent algorithm when the filter coefficients of the transmitter are fixed. That is, relaxing the ISI criterion while maintaining the stopband attenuation, the proposed receiver filter has fewer filter taps than that in the conventional case without undergoing bit error rate performance degradation. The proposed receiver filter design with the reduced number of filter taps reduces the computational complexity and the detection delay in the receiver.

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Root Nyquist Pulses with an Energy Criterion

Cited by 5 publications

References 14 publications

DS-CDMA Chip Waveforms with Maximally Concentrated Spectra

DS-CDMA Chip Waveforms with Maximally Concentrated Spectra

Bandwidth Efﬁcient Root Nyquist Pulses for Optical Intensity Channels

New SRRC receiver filter design with reduced number of filter taps for wireless communication systems

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