An Efficient Intermodulation Product Computing Technique for Broadband Active Transmit Systems

The determination of intermodulation products is an ever pervasive problem to the radar and satellite community - its eminence will continue to manifest itself as data rates increase, as transmitters are required to handle increasing numbers of multiple carriers, and as amplifiers are pushed to operate closer to their nonlinear regions (to circumvent the need of adding the extra weight and cost of a more linear amplifier). To study the intermodulation effects, fast Fourier transform (FFT)-based techniques are often employed. By definition, defines the frequency resolution for the discrete Fourier transform (DFT). It is typically desired to design to be as small as possible to allow for a very fine frequency resolution. Doing this requires that be minimized and/or be selected as large as possible. Minimizing has its pitfalls since high-order harmonics may violate the Nyquist criteria. Selecting to be as large as possible introduces unreasonably long simulation times. This may be the case when large values of are very near or exceed the maximum allowable array size of a digital computer. Breaking this nexus is the focus of this paper, which introduces a computationally efficient technique that will allow the frequency and amplitude of the intermodulation terms to be precisely computed.

[1]  William H. Tranter,et al.  Efficient Simulation of Multicarrier Digital Communication Systems in Nonlinear Channel Environments , 1993, IEEE J. Sel. Areas Commun..

[2]  V. Rizzoli,et al.  Modulation-oriented harmonic balance based on Krylov-subspace methods , 1999, 1999 IEEE MTT-S International Microwave Symposium Digest (Cat. No.99CH36282).

[3]  T. Narhi Frequency-domain analysis of strongly nonlinear circuits using a consistent large-signal model , 1996 .

[4]  Michael B. Steer,et al.  Frequency-domain nonlinear microwave circuit simulation using the arithmetic operator method , 1990 .

[5]  Robert W. Dutton,et al.  Modeling, analysis, and design of RF LDMOS devices using harmonic-balance device simulation , 2000 .

[6]  C. Hemmi Authors' reply [to comments on "Pattern characteristics of harmonic and intermodulation products in broad-band active transmit arrays"] , 2003 .

[7]  G. Haddad,et al.  An efficient Fourier transform algorithm for multitone harmonic balance , 1999 .

[8]  Tri T. Ha,et al.  Solid-State Microwave Amplifier Design , 1981 .

[9]  W. Sandrin,et al.  Spatial distribution of intermodulation products in active phased array antennas , 1973 .

[10]  Edward C. Real,et al.  Non-linear amplifier effects in transmit beamforming arrays , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[11]  Sergey Loyka,et al.  The influence of electromagnetic environment on operation of active array antennas: analysis and simulation techniques , 1999 .

[12]  Jose C. Pedro,et al.  Multitone frequency-domain simulation of nonlinear circuits in large- and small-signal regimes , 1998 .

[13]  Jiri Vlach,et al.  A piecewise harmonic balance technique for determination of periodic response of nonlinear systems , 1976 .

[14]  Raimundo Sampaio Neto,et al.  A Fast Algorithm for Sorting and Counting Third-Order Intermodulation Products , 1986, IEEE Trans. Commun..

[15]  Tapani Narhi Black-Box Modelling of Nonlinear Devices for Frequency-Domain Analysis , 1992, 1992 22nd European Microwave Conference.

[16]  Michael B. Steer,et al.  Frequency-domain nonlinear circuit analysis using generalized power series , 1988 .