This paper gives a conjecture on the absence of limit cycles in second-order digital filters with minimum L₂-sensitivity subject to L₂-scaling constraints. We design second-order digital filters for various pole-zero configurations. For given second-order digital filters, we synthesize the minimum L₂-sensitivity realizations and examine whether their coefficient matrices satisfy a sufficient condition for the absence of limit cycles. Experimental results show that the minimum L₂-sensitivity realizations subject to L₂-scaling constraints of second-order digital filters satisfy a sufficient condition for the absence of limit cycles for all given practical pole-zero configurations.

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This paper proposes a demodulation scheme based on channel prediction for differential multiple-input multiple-output (MIMO) spatial multiplexing employing per-transmit antenna differential mapping (PADM). As PADM is one of the differential space-time trellis codings (DSTTCs), it requires per-survivor processing (PSP) based on the Viterbi algorithm (VA) for its demodulation. Therefore, PADM has excellent tracking performance on fast time-varying channels. However, aiming at higher frequency efficiency, PADM for a higher modulation index suffers from the following two disadvantages: (1) poor receiver sensitivity; (2) high computational complexity. In order to solve the items (1) and (2), this paper employs a spatial multiplexing structure and a state reduction algorithm for the VA, i.e., decision-feedback sequence estimation (DFSE), respectively. Finally, for a frequency efficiency of 4bps/Hz with two receive antennas, computer simulation results confirm that the proposed scheme has excellent bit error rate (BER) performance on fast time-varying channels in the case of the maximum Doppler frequency normalized by a symbol rate of 4%.

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Noise reduction has been extensively studied to prevent the accuracy of automatic speech recognition (ASR) being severely degraded due to various noise sources observed in practical use. The effect of noise reduction is usually dependent on the parameters used in the noise-reduction method, which need to be tuned for different types of noise to achieve the best accuracy. We propose a method for automatically switching noise-reduction parameters in such a way that ASR accuracy is maximized. The proposed method assigns the most suitable parameter set to each speech sentence by measuring and grouping the characteristics of noise observed in each sentence. Experiments using speech sentences contaminated by various types of noise showed that the proposed method can reduce the word error rate of ASR.

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Source localization techniques are important and effective for various applications. Without reverberation and noise, some conventional source localization techniques have achieved high accuracies. However, reverberation degrades their performance due to reflected sounds because they compare observed time differences of arrival (TDOAs) with theoretical TDOAs, which are derived from anechoic conditions and do not agree with actual ones under reverberant conditions. We propose a template-based method that compensates the discrepancy between theoretical TDOAs and actual TDOAs in order to reduce the influence of reflections. In this study, two types of experiments are performed to validate the effectiveness of the proposed method. The first one is a simple case that investigates the estimation accuracy in detail and the second one investigates a more practical case in a more complicated situation. For both cases, our proposed method can calibrate these errors effectively without increasing the computational time and improve the performance of conventional methods.

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As described in Session 5, the vibration of a one-dimensional crystal can be explained using an LC ladder circuit. LC ladder circuits are asymmetric, lossless, and reciprocal. There are two methods of connecting two identical asymmetric circuits, image connection and iterative connection. The image connection of two identical asymmetric circuits forms a symmetric circuit. The functions of circuits depend on the connection method (which port of the circuit comes first). The passband of iterative circuits is wider than that of image-connected circuits, increasing the ranges and numbers of resonance and eigen-oscillation frequencies (energies). In circuits with image or iterative parameters, a stopband appears in the high-frequency (high-energy) region, suggesting the possibility that renormalization theory can be avoided by using circuit theory.

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