Bandwidth efficient PAM signaling using wavelets

Livingston, J.N.; Tung, C.-C.

doi:10.1109/26.545889

Cited by 15 publications

(11 citation statements)

References 4 publications

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“…Fractal modulation is a data transmission technique which employs translates and scaled wavelet functions as pulse shaping functions [3][4][5][6][7] and [8]. The resulting waveform has the property that information is contained within multiple scales and time durations.…”

Section: Fractal Modulationmentioning

confidence: 99%

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Transceiver Design and Performance Analysis of Space Time Coded Fractal Modulation

Sengar

Joshi

Prasad

2010

Wireless Pers Commun

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The filterbank transceiver structure for fractal modulation has been developed. It has been shown that the transceiver complexity is comparable to that of OFDM.The use of orthogonal space time block codes (OSTBC) in conjunction with Fractal Modulation (STFrM) in the presence of frequency selective fading channels has also been considered. An L scale fractal modulation and coherent demodulation effectively converts a frequency selective channel into L flat fading channels per information symbol with random scale gains. The analysis of the proposed scheme in terms of bit error rate has been performed. A diversity order of m T m R L can be achieved, where m T , m R are the number of transmitters and receivers, respectively. This increase in diversity order in comparison with that achieved for the OFDM case is at a cost of lower spectral efficiency. However the spectral efficiency of STFrM can be improved R times by the use of multiplicity 'R' multiwavelets.

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Section: Fractal Modulationmentioning

confidence: 99%

“…The use of fractal modulation [3][4][5][6][7], and [8] introduces scale diversity which is analogous to frequency diversity. In [8], Mittal et al have shown that the use of Fractal Modulation converts a frequency selective channel into L flat fading channels, where L is the number of scales that are used in fractal modulation.…”

Section: Introductionmentioning

confidence: 99%

Transceiver Design and Performance Analysis of Space Time Coded Fractal Modulation

Sengar

Joshi

Prasad

2010

Wireless Pers Commun

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“…Thus the SSB transmission of digital symbols shaped by a RC is not feasible in practice. For the same reason, a SSB Pulse Amplitude Modulation (PAM) using wavelets is compared with a DSB PAM using a RC in [20]. We compare the SSB and the DSB MCDR/DS-CDMA system using the wavelets with the DSB MCDR/DS-CDMA system using the RC.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of multi chip/data rate DS-CDMA signals over multipath Rayleigh fading channels

Öztürk

2006

Proceedings of the 2006 International Conference on Wireless Communications and Mobile Computing

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This paper investigates the Probability error (P e ) performance of Multi-Chip/Data Rate Direct Sequence Code Divisions Multiple Access (MCDR/DS-CDMA) systems over multi-path Rayleigh fading channels. Two chip waveforms, raised cosine (RC) and an orthogonal wavelet, are compared numerically in terms of the Pe. The results represent that the wavelet based system significantly outperforms the RC based system in terms of the P e . On the other hand, the wavelets have greater bandwidths than the RC waveforms. Thus, two systems are also compared in terms of the capacity (the number of users per Hertz) for the same P e level. The results for the capacity show that the wavelet based design has 3% and 41% more capacity than the RC based system for the medium and low rate users, respectively, while the RC based system provides 7% higher capacity than the wavelet based system for high data rate users. Since the average power of wavelets is zero, they can utilize a Single Side Band (SSB) transmission. With the SSB transmission, the wavelet based system has 86%, 106% and 182% more capacity for the high, medium and low data rate users, respectively.

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“…Furthermore, orthonormal wavelet families constitute a good alternative to support a signal space with more than two dimensions, because they have characteristics of orthogonality, simultaneity, and spectral localization that lacks the traditional sinusoidal functions (Livingston, 1996;Lindsey & Medley, 1996;Lindsey, 1997). Therefore, they are used as the base set of the proposed modulation scheme.…”

Section: Introductionmentioning

confidence: 99%

“…Por este motivo, el objetivo de la presente investigación es aumentar en términos de , para lo cual es necesario definir un espacio de señal con más de dos dimensiones, lo que a su vez requiere el uso de más de dos funciones simultáneas y mutuamente ortogonales por periodo de símbolo. Como es bien sabido, los espacios de señal soportados sobre funciones sinusoidales permiten obtener, a lo sumo, dos funciones ortogonales por periodo de símbolo (tal como ocurre en M-QAM y M-PSK).Por otra parte, las familias wavelet ortonormales se constituyen en una buena alternativa para soportar un espacio de señal con más de dos dimensiones, pues poseen características de ortogonalidad, simultaneidad y localización espectral que no poseen las funciones sinusoidales tradicionales (Livingston, 1996;Lindsey & Medley, 1996;Lindsey, 1997), por tanto, se las utiliza como conjunto base del esquema de modulación propuesto. La idea clave es utilizar una wavelet diferente para representar cada dimensión de la constelación.…”

Section: Introductionunclassified

Digital modulation scheme in four dimensions based on wavelets

Viáfara

Romero

2014

sist.telemat.

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Information transmission over noisy channels in an efficient and reliable way is a primary objective of digital communication. In this article we propose a digital modulation scheme with a signal space of four dimensions to increase reliability. The signal space of this scheme is constructed on an orthonormal wavelet basis and its constellation is shaped by the eight farthest vertices of a hypercube centered on origin. For decisions based on minimum Euclidean distance, the proposed modulation scheme overcomes the performance against noise of that of quaternary quadrature amplitude modulation (4-QAM). This result allows us to say that a suitable design of constellation over a signal space with more than two dimensions can achieve a reduction in the bit error rate without a significant reduction of spectral efficiency.KEYWORDS Constellation, spectral efficiency, orthonormal wavelet basis, wavelet.Esquema de modulación digital en cuatro dimensiones basado en wavelets RESUMEN Transmitir información de manera eficiente y confiable a través de canales ruidosos es un objetivo primario de la comunicación digital. En este artículo se propone un esquema de modulación con un espacio de señal de cuatro dimensiones que busca aumentar la confiabilidad de la transmisión. El espacio de señal de dicho esquema está construido con una familia wavelet ortonormal y los puntos de su constelación corresponden a los ocho vértices más lejanos de un hipercubo de cuatro dimensiones, centrado en el origen. Para decisiones basadas en distancia mínima Euclidiana, el esquema propuesto supera el desempeño frente al ruido de la modulación por amplitud en cuadratura de cuatro estados (4-QAM), con lo que se puede afirmar que un adecuado diseño de la constelación en un espacio de más de dos dimensiones permite reducir la tasa de error de bit sin comprometer significativamente la eficiencia espectral.PALABRAS CLAVE Constelación, eficiencia espectral, familia wavelet ortonormal, wavelet.Esquema de modulação digital em quatro dimensões baseado em wavelets RESUMO Transmitir informações de forma eficiente e confiável através de canais ruidosos é o principal objetivo da comunicação digital. Neste artigo, é proposto um esquema de modulação com um espaço de sinal de quatro dimensões que procura aumentar a fiabilidade da transmissão. O espaço de sinal deste esquema está construído com uma família wavelet ortonormal e os pontos de sua constelação correspondem aos oito cantos mais distantes de um hipercubo de quatro dimensões centrado na origem. Para decisões baseadas em distância mínima euclidiana, o esquema proposto supera o desempenho em relação ao ruído da modulação de amplitude em quadratura com quatro estados (4-QAM), pelo que podemos dizer que um adequado projeto da constelação em um espaço de mais de duas dimensões poderá reduzir a taxa de erro de bit, sem comprometer significativamente a eficiência espectral.PALAVRAS-CHAVE Constelação, eficiência espectral, famí-lia wavelet ortonormal, wavelet.

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Bandwidth efficient PAM signaling using wavelets

Cited by 15 publications

References 4 publications

Transceiver Design and Performance Analysis of Space Time Coded Fractal Modulation

Transceiver Design and Performance Analysis of Space Time Coded Fractal Modulation

Performance analysis of multi chip/data rate DS-CDMA signals over multipath Rayleigh fading channels

Digital modulation scheme in four dimensions based on wavelets

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