This 'Green Howard' Signaller is carrying the British standard Wireless Set No. 18, a High Frequency (HF) portable, man-pack radio transceiver used by the British Forces during WW2.  It had an effective range of up to 10 miles.
In addition this soldier is also carrying his standard No. 4 Mk. 1 Rifle with the 'pig-sticker' bayonet attached.