Minimum intersymbol interference methods for time domain equalizer design
Ming Ding, Brian L. Evans, Richard K. Martin, C.R. Johnson
Abstract
Ming Ding, Brian L. Evans, Richard K. Martin, C.R. Johnson
Abstract
During initialization, discrete multitone receivers train a time domain equalizer (TEQ) to shorten the channel impulse response to a preset length, /spl nu/+1. G. Arslan et al. report a minimum intersymbol interference (Min-ISI) method for TEQ design (see IEEE Trans. Sig. Process., vol.49, no.12, p.3123-35, 2001). Min-ISI TEQs give the highest bit rates among single-FIR TEQs amenable to real-time implementation on programmable fixed-point digital signal processors (DSPs). The Min-ISI method, however, has several disadvantages: (1) sensitivity to transmission delay; (2) inability to design TEQs longer than /spl nu/+1 taps; (3) sensitivity to the fixed-point computation in the Cholesky decomposition. We develop an alternate Min-ISI cost function, from which we derive: (1) a fast search method for the optimal transmission delay; (2) extensions to design arbitrary-length Min-ISI TEQs; (3) an iterative Min-ISI method. The iterative Min-ISI method avoids Cholesky decomposition, designs arbitrary length TEQs, and achieves the bit rate performance of the original Min-ISI method.
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During initialization, discrete multitone receivers train a time domain equalizer (TEQ) to shorten the channel impulse response to a preset length, /spl nu/+1. G. Arslan et al. report a minimum intersymbol interference (Min-ISI) method for TEQ design (see IEEE Trans. Sig. Process., vol.49, no.12, p.3123-35, 2001). Min-ISI TEQs give the highest bit rates among single-FIR TEQs amenable to real-time implementation on programmable fixed-point digital signal processors (DSPs). The Min-ISI method, however, has several disadvantages: (1) sensitivity to transmission delay; (2) inability to design TEQs longer than /spl nu/+1 taps; (3) sensitivity to the fixed-point computation in the Cholesky decomposition. We develop an alternate Min-ISI cost function, from which we derive: (1) a fast search method for the optimal transmission delay; (2) extensions to design arbitrary-length Min-ISI TEQs; (3) an iterative Min-ISI method. The iterative Min-ISI method avoids Cholesky decomposition, designs arbitrary length TEQs, and achieves the bit rate performance of the original Min-ISI method.
Key concepts: Intersymbol interference, Nyquist ISI criterion, Computer science, Cholesky decomposition, Initialization, Impulse response, Equalization (audio), Algorithm