There are a lot of perceptions - not quite "spot on".
An Analog band is typically considered to be 6MHz. In that, you have to squeezed a LOT of different elements - close caption, video (chroma and luma), audio of different types - and a LOT of dead space.
Digital resides in a similar space slot. It is considered to have 18MHz of usable bandwidth - kind of like an analog MODEMS that have 56K of data bandwidth in a 3K analog telephone bandwidth.
The wire antennas for an analog and digital antenna are the same alright... but there are some great differences as well.
Analog TV antennas - like rabbit ears - might have had a local active gain section (ie, need power) - but typically these were low gain - fairly noisy amps. Noisy amps WON'T work well for digital TV signals.
Digital TV antennas often have a MUCH MORE SOPHISTICATED active gain stage - so they need power. The gain stages are (a) much greater - up to 40+dB and (b) much lower noise - and flatter active gain regions. Lower Noise and Flatter Gain regions are CRITICAL to having a better TV signal. Digital TV antennas (like rabbit ears) are generally more precise.
Digital TVs are EXTREMELY PICKY about a quality signal. So an analog TV rabbit ears and a ditial TV rabbit ears - might have the same gains - but the old analot TV rabbit ears might not work. On marginal reception areas - you can really see this..
Digital TVs do not "fade gracefully" - the lock up the image - sound goes in and out - and generally are extremely annoying - as they get into marginal reception range. Orientation of the antenna is also more important for this. You don't the graceful fade of a SNOWY picture in Digital TV. Instead, the digital TV picuture will get PROFOUNDLY annoying - as the signal fades...
So the effective result is to get spottier reception - and also to get lower range quality reception with Digital TV. Not to mention that you need a good converter box - difference being how well it works with low level signals.
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In your antenna selection - you WANT a modern LOW NOISE, HIGH GAIN amplification stage.
good luck....
--jerry
BTW... like the man says...there does not have to be a difference between digital and analog antennas... so it CAN be a bill of goods. Having a more ACCURATE antenna, having a gain stage of 24 to48 dB, having a LOW NOISE local powered amp - these are clearly differences in the general world of Digital versus Analog antennas. Classically, the old analog antennas had gains stages of 3 to 12dB- and they were noisy - and they had a higher signal distortion. the older antennas worked ok for analog TV. Digital TVs require a higher quality - and level - signal.