Journal ArticleDOI
A new approach to optimum pulse shaping in sampled systems using time-domain filtering
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TLDR
In this article, a new approach to time-domain pulse shaping in digital sampled systems is described, which allows time-limited impulse responses with optimum specified energy distribution in the frequency domain to be generated.Abstract:
A new approach to time-domain pulse shaping in digital sampled systems is described. The proposed method allows time-limited impulse responses with optimum specified energy distribution in the frequency domain to be generated. Additional constraints to guarantee zero intersymbol interference are easily taken into account. Nyquist-type pulses which have the maximum possible amount of their total energy concentrated below some given frequency are one particularly important application. An example of such an impulse response with only 6 percent excess bandwidth is presented which shows that 99.96 percent of the energy can be concentrated in the desired bandwidth with a pulse 16 baud intervals long that can be generated using a read-only memory (ROM) with only 256 bits of storage. This new class of signals can be used advantageously for waveform generation and processing in digital data systems.read more
Citations
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Journal ArticleDOI
Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial
TL;DR: Several applications of the polyphase concept are described, including subband coding of waveforms, voice privacy systems, integral and fractional sampling rate conversion, digital crossover networks, and multirate coding of narrowband filter coefficients.
Journal ArticleDOI
A Square-Root Nyquist (M) Filter Design for Digital Communication Systems
TL;DR: A novel method based on a cost function whose minimization leads to designs that can strike a balance between the stopband attenuation, the residual intersymbol interference, robust sensitivity to timing jitter, and/or reduced peak-to-average power ratio (PAR).
Journal ArticleDOI
Optimum FIR Transmitter and Receiver Filters for Data Transmission Over Band-Limited Channels
Pierre Chevillat,G. Ungerboeck +1 more
TL;DR: The paper deals with the design of digital transmitter and receiver filters with finite impulse response (FIR) for data transmission over band-limited channels and the design technique is modified so that filters with complex-valued impulse response and optimum spectral concentration in the range of positive bandpass frequencies are obtained.
Journal ArticleDOI
On the design of optimal equiripple FIR digital filters for data transmission applications
TL;DR: In this paper, an improved linear programming algorithm is required for the design of finite impulse response (FIR) digital filters, which avoids the numerical ill-conditioning problems which commonly occur due to the necessity to sample the frequency response on a very dense grid of points for high-order filters.
Journal ArticleDOI
A class of FIR Nyquist (Nth-band) filters with zero intersymbol interference
Tapio Saramaki,Y. Neuvo +1 more
TL;DR: In this paper, a new class of linear-phase FIR Nyquist (N th-band) filters composed of cascaded FIR subfilters with different periodicities in the frequency domain is introduced.
References
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Journal ArticleDOI
Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more
TL;DR: In this paper, the authors apply the theory developed in the preceding paper to a number of questions about timelimited and bandlimited signals, and find the signals which do the best job of simultaneous time and frequency concentration.
Journal ArticleDOI
Prolate spheroidal wave functions, fourier analysis and uncertainty — III: The dimension of the space of essentially time- and band-limited signals
H. J. Landau,H. O. Pollak +1 more
TL;DR: In this paper, the authors examined the mathematical truth in the engineering intuition that there are approximately 2WT independent signals ϕ i of bandwidth W concentrated in an interval of length T. Roughly speaking, the result is true for the best choice of the ϕ I (prolate spheroidal wave functions), but not for sampling functions (of the form sin t/t).
Journal ArticleDOI
Synthesis of pulse-shaping networks in the time domain
TL;DR: This paper considers the problem of designing a network to shape an arbitrary input pulse into a band-limited pulse having minimum intersymbol interference, and uses the zeros of the network transfer function to achieve the band-limiting properties.
Journal ArticleDOI
The general uncertainty relation for real signals in communication theory
Walter Hilberg,P. G. Rothe +1 more
TL;DR: The general uncertainty relation for real time functions in communication theory is derived, where the product of pulse duration and spectral width referred to the positive frequency spectrum only, is not less than 1.1802….
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