The Collaborative International Dictionary of English v.0.48:

Wireless \Wire"less\, a.
   Having no wire; specif. (Elec.), designating, or pertaining
   to, a method of telegraphy, telephony, or other information
   transmisssion, in which the messages, data, etc., are
   transmitted through space by electric waves; as, a wireless
   message; a wireless network; a wireless keyboard.
   [Webster 1913 Suppl. +PJC]

   Wireless telegraphy or Wireless telegraph (Elec.), any
      system of telegraphy employing no connecting wire or wires
      between the transmitting and receiving stations.

   Note: Although more or less successful researchers were made
         on the subject by Joseph Henry, Hertz, Oliver Lodge,
         and others, the first commercially successful system
         was that of Guglielmo Marconi, patented in March, 1897.
         Marconi employed electric waves of high frequency set
         up by an induction coil in an oscillator, these waves
         being launched into space through a lofty antenna. The
         receiving apparatus consisted of another antenna in
         circuit with a coherer and small battery for operating
         through a relay the ordinary telegraphic receiver. This
         apparatus contains the essential features of all the
         systems now in use.

   Wireless telephone, an apparatus or contrivance for
      wireless telephony.

   Wireless telephony, telephony without wires, usually
      employing electric waves of high frequency emitted from an
      oscillator or generator, as in wireless telegraphy. A
      telephone transmitter causes fluctuations in these waves,
      it being the fluctuations only which affect the receiver.
      [Webster 1913 Suppl.]

WordNet (r) 3.0 (2006):

wireless telegraph
    n 1: the use of radio to send telegraphic messages (usually by
         Morse code) [syn: radiotelegraph, radiotelegraphy,
         wireless telegraph, wireless telegraphy]