You might try moving the radio around to see if you can find a good spot for it. This works because internal reflections inside the room will be either reinforcing or cancelling each other out. It's very unpredictable because the indoor RF environment is very complicated: people are mobile reflectors and there are wires, pipes and lumps of metal all over the place.
Your radio might be a bit deaf, especially if it's an older model. The £20 radio I recently got from Tesco for my workshop is much more sensitive than my somewhat expensive brand-name bedroom clock-radio.
An outside antenna in the clear will always out-perform an indoor antenna. The simple rule is to get the antenna as high and as far away from the house as you can. Indoor antennas only work if the local signal strength happens to be high.
DAB is a VHF system (170 – 220MHz vertically polarised) so a home-made dipole would consist of two rods (or wires) each about 0.65m long, arranged up and down. Or you could buy a folded dipole like this.
The placement of your TV antenna is a good guide to where a DAB antenna should go, but lower down will probably be OK.
The hard part looks to be that weird connector. I've never seen anything like that on a radio before but it might be one of these.
Ideally the antenna and radio should be impedance matched to each other and the transmission line (Coax or ribbon) This can get quite complicated if you are rolling your own, but I wouldn't worry too much about it unless the radio still doesn't work after you've tried it – a crude outdoor lash-up might well be "good enough".
It's slack terminology, but a "digital" antenna is simply one optimised to receive the frequencies digital TV signals are transmitted on. It might be necessary to install one if your old antenna happened not to work well enough after switch-over. Analogue and digital signals were introduced on different frequencies in the same band so that they wouldn't interfere with each other. Unlucky people sometimes found the digital signal was just outside their old antenna's bandwidth, or that reception was marginal anyway.
Regards,
Dave
Edited By SillyOldDuffer on 09/01/2016 23:02:34