Here is a comparison between the both:

VLSI at NIT Delhi

Pros:

• Specialization in a high-demand field (semiconductors, hardware design).
• Strong career opportunities with companies like Intel, Qualcomm.
• Good scope for research and higher studies.

Cons:

• Niche field with competitive job market.
• Opportunities may be geographically concentrated.
  
  Signal Processing and Digital Design at DTU

Pros:

• Broad applicability across industries (telecommunications, defense, healthcare).
• Opportunities with companies like Nokia, Samsung.
• Strong reputation and industry connections of DTU.

Cons:

• Interdisciplinary, requiring adaptability.
• Competitive job market due to many graduates.
  
  Factors to Consider
• Interest: VLSI for hardware/microelectronics vs. Signal Processing for digital systems/algorithms.
• Career Goals: Specialized semiconductor industry vs. diverse industry applications.
• Location: NIT Delhi for specialization, DTU for broader industry exposure.
• Research: Check research facilities and faculty expertise in both programs.
  
  The Conclusion:
  
  
• Choose VLSI at NIT Delhi if you're passionate about microelectronics and hardware design.
• Choose Signal Processing and Digital Design at DTU if you prefer diverse applications and broader career options.
  
  I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
  
  Thank you and wishing you all the best for your bright future.