mo' better bass: any substitute for watts?


Generally speaking, and all things being equal, will higher wattage amps generally produce more, better defined bass than lower wattage amps at a given volume level? I don't seem to hear much bass until I turn my amp up to a level that doesn't suit my listening habits. Wondering if this could be improved by upgrading my old NAD 25(or is it 35?)wpc Powerdrive amp with a newer, modest amp in the 100 wpc range or so. I'm thinking about driving a power amp directly off of an Oppo 980H. Speakers are Rega R3's which can produce bass in my small room when I crank the volume and/or bass tone control. Thanks!
clbone
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Thanks to all for the responses to this point. Would love to hear any other opinions. Consensus seems to be that more watts will help my situation.
I have considered a digital amp (Trends)as Shiva suggested, not sure if it would deliver the goods on an 89dB-rated speaker. I'd love to try Rega Brio 3 (loved my Brio 2000) but I really want a remote, and again, wondering if "49" wpc will bring the bass to life. How would it work to use the volume control on the Oppo with a Brio having it's volume knob turned up?
Another comment - I've seen it mentioned more than once that an amp that can double its 8 ohm watt ratinginto 4 ohms is regarded as a "high current" amp, as Saki suggests. Bob, are you saying that this characteristic doesn't indicate a high-current design or just that this isn't an indication of bass capability? I'm looking at an amp that does 100 wpc into 8 ohms and 125 into 6, no 4-ohm rating given.
first of all, what is the frequency range of your speakers? you need to find that out first.
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I was not addressing the speaker characteristics . Neither was the original poster ! He was asking about watts .

Of course the speaker will make a big difference in the final output . You can't get 20hz. out of a speaker designed to only put out 80hz. I consider that a different topic for discussion !

I was merely trying to show that there are different watts capable of doing different things .

Bob;
We have a control over the configuration by our purchasing decisions . When one has a tough load to power , doesn't one seek out the amps that will power that load ? There are amps that have a high current output and there are amps that don't ! This is why some amps will power that tough load and others will not , even though they 'seem' to have the same amount of power.
By your way of thinking one could assume that a 100w HT
receiver , such as HK , Pioneer , Onkyo , Denon and etc.(high voltage watts) would have the ability to drive a 1 ohm bass load with a 4th order crossover network of an 80db. speaker . I think that you probably know better than that .

As to your example with Bryston and Parasound , some companies list there ratings conservatively and others exaggerate . Which makes it even tougher to pick the right amp for the job ! That is why we do not use generalities and company spec sheets but specific brands and models .