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-In FIR (Finite Impulse Response) filter applications, Nth-band FIR digital filters are known to be important due to their reduced computational requirements. The conventional methods for designing FIR filters use iterative approaches such as the well-known Parks-McClellan algorithm. The Parks-McClellan algorithm is also used to design Nth-band FIR digital filters after Mintzer's research. However, a disadvantage of the Parks-McClellan algorithm is that it needs a large amount of design time. This paper describes a direct design method for Nth-band FIR Filters using Chebyshev polynomials, which provides a reduced design time over indirect methods such as the Parks-McClellan algorithm. The response of the resulting filter is equi-ripple in passband. Our proposed method produces a passband response that is equi-ripple to within a minuscule error, comparable to that of Mintzer's design method which uses the Parks-McClellan algorithm.

-In this paper, we propose an efficient driving pattern which consumes less energy for driving from one station to next. Three driving patterns for four sections in the No. 5 subway line of Seoul Metropolitan Rapid Transit Corp. are compared for the energy consumption, the maximum speed, and the powering time. It turns out that the powering time and the maximum speed should be decreased as much as possible in order to achieve the efficient driving.