With these definitions, you can have a democratic or non-democratic system, and both can give rise to libertarian or authoritarian societies.
Democracies tend to produce more libertarian systems than dictatorships, but only to some extent, and in fact, they are often authoritarian in various aspects. All it takes to oppress some people in a democracy, even when they are not causing harm, is the majority of people wanting to do so.
Vice versa, a dictatorship with some enlightened, incorruptible, and perfectly mentally stable dictator that acts as a night-watchman so that individual freedoms are respected would be more libertarian than a democracy, but it's unlikely you'd get such a dictator.