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A research is a longer and deeper study as in a phd program while for M.Tech I believe you are looking for a shorter project to be executed that solves a smaller problem or demonstrates some working model.

Based on current trends, here are a few areas that will help. Reading more deeper into a specific area will help you identify a specific problem and research into same.

  1. 3D power scaling - Going beyond Moore’s law this is a focus area in next several years
    1. 3D ICs - Stacking multiple wafers (3D Stacked ICs) as well as stacking transistors in a single wafer (3D Monlithic IC)
    2. Packaging technologies - 3D System in chip (SIP) architectures that can integrate more than silicon based devices like MEMS, sensors, analog and other electro mechanical components all into a single package
    3. Alternate materials to CMOS as scaling hits limit at 10/7 nm
      1. Usage of alternate materials Ge, SiGe, Carbon nano tubes which are still in research
    4. Low power techniques - There is always a need to have energy efficient circuits for lower power with increasing density of transistors.
  2. New Applications of VLSI in increasingly important domains
    1. IoT (Internet of Things) and IoE (Internet of Everything)
      1. Wearable s and applications to health care
    2. Big Data and Cloud Computing
      1. Increased demand for information processing is demanding more computing innovations, more parallel computing with increased number of cores.
      2. Other emerging computer architecture - GPUs, deep learning systems, quantum computing etc .
    3. Machine learning, Deep learning and Artificial intelligence
      1. More custom hardware architecture to execute algorithms faster
      2. computer architecture moving from a program centric to data centric (learning based on data passing through system)
  3. Connectivity
    1. Number of devices using wireless RF connectivity is going to explode and hence new faster and sophisticated technology and devices would be in need. 5G (5th generation) mobile technology falls in this category
    2. Photonic transmitters - beyond LEDs , and optical interconnects
    3. Future trends in SOC interconnects - More advancements in Network on Chip (NOC)
  4. EDA
    1. More advancements in high level synthesis (HLS) tools
    2. More advancements in formal property verification, simulation acceleration
    3. Any other optimization/speedup in any design implementation algorithms

There could be more, but these are what I can think of with my current reading/knowledge.

Also read more similar answers on Blogs - Verification Excellence

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