13 to 30 Mhz receiving loop
First, lets get some disclaimers out of the way...
(1) No indoor antenna will work as well as one outdoors.
(2) An indoor loop antenna will not work miracles if there is a lot of "noise" in the home... digital or otherwise. It only makes it possible to have some sort of radio listening hobby... to do the best you can (inexpensively) with the loops ability to null noise.
(3) You possibly can do better with more elaborate and expensive schemes such as electronic phasing with utilizing multiple antennas. I'm just showing a low cost-low, low effort solution.
(4) Some apartments that are surrounded by other rooms, walls and tenants around them are nearly "rf proof" at hf. You're just about out of luck in some situations unless you have access to a balcony or such.
O.K., with that out of the way...
Pictures show my "13 mhz to 30mhz" receiving loop. You can't reasonably cover the entire SW spectrum with one loop efficiently, so for now , we'll just deal with this freq range. This loop is based on a childs' hula-hoop roughly 20 inches in diameter. I like to strip off all the plastic tape stuff that makes the hoop attractive to the kids. I usually use copper foil tape as the main conductor of the loop. I run the tape on the inside of the hoop to make attaching wires easier. A wide conductor is known to be more efficient at carrying rf than a small wire. You can use aluminum tape if you can't get copper, and you can solder to it.
The inner loop is made from #14 or #12 solid conductor house wiring. The diameter is about 7 inches. You can see that is self supported and attached to a two-terminal block mounted on the base plastic housing. It is not connected in any way to the main loop. The size of the inner loop will change a couple factors. A small loop will make for sharper tuning, a larger loop will make for broader tuning. You can make the tuning too sharp, and sigs will suffer, and also tuning on a sig will be too difficult. If you go too large on the inner loop, tuning will be too broad, sigs will suffer, and tuning range of the loop will decrease. Everything with loop antennas is a "balancing act", and you have to find the balance by some experimentation. If you find that my choice of a 7 inch loop doesn't suit you, feel free to experiment.
The only real expense of the loop will be the air-variable tuning capacitor. Fortunately, I had a nice 100pf tuner cap with steatite low-loss insulators. This makes for lower loss at the higher SW freqs. You can use a cap with phenolic insulators with only a slight loss in efficiency. Use what you can afford or have already. The capacitor simply is wired to the ends of the copper loop as can be seen in the pic. I used extension cord wire to connect between the cap and the coil.
The cap mounts on to the plastic base housing and I drilled a couple holes for the cap wiring to be brought out to the copper. You may notice that I made an extension of sorts for the tuning knob. It's very possible that you may experience the "hand-capacitance" effect. In other words, you will change the resonant frequency of the loop by placing your hand on the tuning knob. When that happens, you will change the "peak" of the sig you are tuning. You will hear the change in reciever signal as you do this. Sometimes I use the barrel of a plastic ink pen to slide on the shaft of the tuning cap so that I don't have to deal with the hand-effect.
If you look at the pic of the inner base housing, you can see the tuning cap, and also the method used to firmly attach the loop to the housing... ty-wraps.
Lastly, I'll direct your attention to the feedline from the loop to the radio. If you'll look close, I'm using "zip cord". This is a balanced feed system. I like to use the loops in a balanced configuation because they'll have a better null for noise. I have modified my Yaesu FRG-100 receiver to have a true balanced input as well as the traditional 50 ohm coaxial input. You can use coax for the loop output, but you should use some sort of balun to keep rf off the shield of the coax since that reduces loop performance. You could use a simple toroid to wind a few turns of the coax feedline through. Place the toroid close to the output of the pickup loop, and attach the other end of the coax to your receiver.
Using the loop is very simple. You just tune for maximum signal... the loop has a sharp peak, and you'll have to pay attention to receiver noise. You will have to re-tune the loop, of course, with even minor moves in frequency. This is the price to be paid for noise rejection and good signals from a very small antenna. I've been amazed at what I'm able to hear indoors with such a small antenna. Rotating the loop does a very good job in nulling noise while still providing a good signal for the receiver.