According to an embodiment, a channel estimator includes a channel response estimation section configured to estimate a channel response by correlation processing between a received signal and a known pattern signal; a path power calculation section configured to measure power of each path within an output of the channel response estimation section; a noise power calculation section configured to measure noise power from the output of the channel response estimation section; a path determination section configured to determine paths to be preserved by using the path power outputted from the path power calculation section and the noise power outputted from the noise power calculation section; and a noise removal section configured to remove values in time domain excepting the paths determined at the path determination section, from the output of the channel response estimation section.