Least-square identification with error bounds for real-time signal processing and control

Article Abstract:

Set-membership (SM)-based estimation techniques are similar to least-square error (LSE) identification methods, which is shown in optimal bounding ellipsoid (OBE) algorithms. SM and LSE approaches differ in that SM processing is antithetical to the concept of searching for an optimal solution; local, often deterministic, information about the model is found in the SM approach that implies feasible sets of solutions on a pointwise basis. Many theoretical and applied developments are committed to LSE-type processing, so it is assumed here that the LSE estimate is important, and that the appropriate asymptotic modeling information exists to support its use. It is also assumed that the local SM information is available to provide a feasibility set overlay. The SM theory thus adds useful features to LSE processing, including improved tracking and adaptation, and reduced computational complexity.

Computational complexity (Machine theory), Product introduction, Technical, Control systems, Real time systems, Signal processing, Estimation, Real-Time System, Scientific Research, New Technique, Algorithm Analysis, Least Squares Approximation, Computational Complexity

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A 6 x 320-MHz 1024-channel FFT cross-spectrum analyzer for radio astronomy

Article Abstract:

FX, a wide-band FFT spectrum analyzer, processes an input of six 320-MHz-bandwidth data streams to produce an output of 15 cross-power spectra of 1,024 frequency channels each. A highly pipelined architecture yields speeds of 10,000,000,000 butterfly operations per second, or 100,000 times the normal speed of mainframe computers. The FX incorporates over 4,500 newly developed CMOS LSI chips designed by using CAD. The signal-power to noise-power ratio of the FX is better than 10 dB for 80-MHz bandwidth signal at an optimum input level. This low SNR makes the FX acceptable for its current use in the spectroscopy of radio waves from interstellar molecules. FX has been in use at the Nobeyama Radio Observatory since 1983.

Processor architectures, Astronomy, Processor Architecture, Pipelining, Test Equipment, Spectrometry, technical

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Error Probability in Nakagami-Rice Channel

Article Abstract:

Error probability for differential phase shift keying (DPSK) and noncoherent frequency shift keying signals is derived as transmitted through a Nakagami-Rice severe fading channel. The fading is less severe than in the Rayleigh channel. The error probability is supplied in compact form rather than numerical evaluation.

Digital communications, Telecommunications transmission technologies, Digital Signals, Digital Communication, Data Communications

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