A more efficient encoderdecoder is provided in which an N-point MDCT transform is mapped into smaller sized N2-point DCT-IV andor DCT-II transforms with isolated pre-multiplications which can be moved to a prior or subsequent windowing stage. The first antenna element having a first end connected to the feeder circuit and a grounded second end includes a forward path and a backward path short-circuiting to each other at a shorting bridge, and is a half wavelength long of a first frequency in the band of use. Accordingly, condensed water on a bottom heat-exchanging surface of the evaporator can be pushed downwardly by component force of the flow of air mainly blown from the blower. Toner is stirred by continuously rotating the toner bottle in forward and reverse directions. If determined to be valid, a diagonal interpolation based on the edge and its angle is used to estimate the pixel value of the pixel.