Architectures have been proposed for the design of frequency-domain least-mean-square complex equalizers that would be integral parts of parallel-processing digital receivers of multigigahertz radio signals and other quadrature - phase - shift - keying (QPSK) or 16 - quadrature - amplitude - modulation (16-QAM) of data signals at rates of multiple gigabits per second. "Equalizers" as used here denotes receiver subsystems that compensate for distortions in the phase and frequency responses of the broad-band radio-frequency channels typically used to convey such signals. The proposed architectures are suitable for realization in very-large-scale integrated (VLSI) circuitry and, in particular, complementary metal oxide semiconductor (CMOS) application-specific integrated circuits (ASICs) operating at frequencies lower than modulation symbol rates.
A digital receiver of the type to which the proposed architecture applies (see Figure 1) would include an analog-to-digital converter (A/D) operating at a rate, fs, of 4 samples per symbol period. To obtain the high speed necessary for sampling, the A/D and a 1:16 demultiplexer immediately following it would be constructed as GaAs integrated circuits. The parallel-processing circuitry downstream of the demultiplexer, including a demodulator followed by an equalizer, would operate at a rate of only fs/16 (in other words, at 1/4 of the symbol rate). The output from the equalizer would be four parallel streams of in-phase (I) and quadrature (Q) samples.

The proposed architectures would implement subconvolution (see Figure 2), fast - Fourier - transform/inverse - fast - Fourier - transform (FFT-IFFT), and discrete - Fourier - transform/inverse - discrete - Fourier - transform (DFT-IDFT) overlap-and-save filter algorithms. A key property of the proposed architectures is that one can make engineering compromises among computational efficiency, complexity of circuitry, and processing rates. Such trades are made possible, in part, by utilizing subconvolutions and relatively simple digital signal-processing methods in such a manner as to eliminate a lower bound imposed on FFT-IFFT lengths by equalizer tap lengths. For a given receiver, the equalizer tap length would theoretically be unlimited, and the FFT-IFFT length could be chosen completely independently of the equalizer tap length. The FFT-IFFT length could be determined on the basis of the desired reduction in the processing rate. The specific values chosen for the proposed architectures are an equalizer tap length of 32, with an FFT-IFFT length of 8 chosen to enable processing at 1/4 of the symbol rate.
This work was done by Andrew Gray, Parminder Ghuman, Scott Hoy, and Edgar H. Satorius of Caltech for NASA's Jet Propulsion Laboratory. For further information, access the Technical Support Package (TSP) free on-line at www.techbriefs.com/tsp under the Electronics/Computers category.
In accordance with Public Law 96-517, the contractor has elected to retain title to this invention. Inquiries concerning rights for its commercial use should be addressed to
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Refer to NPO-30246, volume number and page number.
This Brief includes a Technical Support Package (TSP).

Parallel-Processing Equalizers for Multi-Gbps Communications
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Overview
The document is a technical support package from NASA's Jet Propulsion Laboratory (JPL) detailing novel parallel VLSI equalizer architectures aimed at enhancing multi-Gbps wireless communications. It outlines the advancements in satellite communication technology, particularly focusing on the next-generation Telecommunication and Data Relay Satellite System (TDRSS), which is designed to support data rates up to 800 Mbps. The document emphasizes the need for flexibility in receivers due to varying modulation types and data rates.
A significant challenge in modern satellite communications is the high cost associated with using Gallium Arsenide (GaAs) components, which, despite their high processing rates (several GHz), are not feasible for all-digital receivers on a single application-specific integrated circuit (ASIC). In contrast, Complementary Metal-Oxide-Semiconductor (CMOS) technology offers higher transistor density and lower costs, making it a more viable option for developing digital receivers. This has led to the development of an all-digital parallel receiver capable of processing near-maximum Nyquist data rates.
The document discusses the implementation of parallel processing architectures for equalization, which are essential for achieving adequate performance in high-rate communication systems. It highlights the use of algorithms that allow for processing at lower clock rates while maintaining high data throughput. Specifically, it mentions a 1/4 rate frequency domain fast Least Mean Squares (LMS) algorithm, which is designed to operate efficiently with a specific equalizer tap length and FFT-IFFT length.
The work presented in the document is credited to a team of researchers from Caltech, including Andrew Gray, Parminder Ghuman, Scott Hoy, and Edgar H. Satorius. The document also notes that the invention is retained by the contractor under Public Law 96-517, and inquiries regarding commercial rights should be directed to JPL's Intellectual Assets Office.
Overall, this technical report encapsulates the innovative approaches being taken to improve satellite communication systems through advanced equalization techniques, highlighting the balance between cost, efficiency, and performance in the development of next-generation communication technologies.

