Had a phone screening (technical interviews) followed by invitation for onsite at Palo Alto. And that's where the real fun began. I had to give an hour long presentation followed by questions. There were about 20 scientists at the presentation and some of them were demeaning and condescending. After the talk, I had a whole lot of 30 minute personal interviews -- about 10-12 with technical people who kept asking me specific textbook questions. Again, some of the interviewers were nice but some were upsetting. When I refused to answer a question, due to intellectual property concerns, one of the interviewer still kept pushing me for an answer. Another interviewer asked me not to take the job as there is lot of internal competition. Yet another interviewer, having worked for HP for many years, told me about being concerned for my well-being in joining this "theoretical / basic science" group as they always had problems with good engineers leaving. By that time, I had already made up my mind not to join them ! Yet another interviewer asked me contact details of my present boss (in an intimidating tone). I think he did it because I had pushed back against his bullying.
My advice is not to have any hopes. They are over-analyzing candidates and dont trust their own judgement. For the same specialty (analog and digital electronics), I was interviewed by 3 different engineers -- what is the point ? Whose judgement will they trust ?
My advice is to take the interview at HP Labs (especially if it is in scientific department) as a free trip to San Francisco and to have fun with them and not hope for any offers. They are a confused lot who are on a decline and compete internally. The management is horrible. The only good thing is Palo Alto weather !